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Average — formula, example and practice

Weighted means and “new average after joining/leaving” problems.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

Average = Sum of observations / Number of observations

The mean value. Competitive papers almost always change the group: someone joins, leaves, or a new average is given.

What you should learn here

Cricket and age-average questions are the same algebra. Write sum = average × n, apply the change, divide again.

Worked example

Question. The average of 5 numbers is 20. A sixth number 26 is added. New average?

Solution. Old sum = 100. New sum = 126. New average = 126/6 = 21.

Common mistake. Averaging two averages without weights (different group sizes).

When to use the shortcut. Always recover the sum first. Never average the averages unless the counts are equal.

Related chapters and tests

Ratio and Proportion Time and Work Percentage Profit and Loss All formulas SSC GD mocks SSC CGL mocks

150 important Average questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 2औसत

Average of 6 numbers is 24. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (147+24)/7 = 24.

Q. 3औसत

Average of 14, 20 and 26 is

Answer / solution

Correct option: D

(14+20+26)/3 = 20.

Q. 4औसत

Average of 8 numbers is 46. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (46×8−22)/7 = 49.

Q. 5औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 6औसत

Average of 6 numbers is 32. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (195+40)/7 = 33.

Q. 7औसत

Average of 18, 24 and 25 is

Answer / solution

Correct option: D

(18+24+25)/3 = 22.

Q. 8औसत

Average of 8 numbers is 54. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (54×8−30)/7 = 57.

Q. 9औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 10औसत

Average of 6 numbers is 40. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (243+24)/7 = 38.

Q. 11औसत

Average of 13, 21 and 24 is

Answer / solution

Correct option: A

(13+21+24)/3 = 19.

Q. 12औसत

Average of 8 numbers is 42. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (42×8−22)/7 = 44.

Q. 13औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 14औसत

Average of 6 numbers is 28. A new number 40 is added. New average is

Answer / solution

Correct option: D

New avg = (171+40)/7 = 30.

Q. 15औसत

Average of 17, 18 and 28 is

Answer / solution

Correct option: C

(17+18+28)/3 = 21.

Q. 16औसत

Average of 8 numbers is 50. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (50×8−30)/7 = 52.

Q. 17औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 18औसत

Average of 6 numbers is 36. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (219+24)/7 = 34.

Q. 19औसत

Average of 12, 22 and 27 is

Answer / solution

Correct option: B

(12+22+27)/3 = 20.

Q. 20औसत

Average of 8 numbers is 58. If 22 is removed, new average is

Answer / solution

Correct option: C

New = (58×8−22)/7 = 63.

Q. 21औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 22औसत

Average of 6 numbers is 24. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (147+40)/7 = 26.

Q. 23औसत

Average of 16, 19 and 26 is

Answer / solution

Correct option: D

(16+19+26)/3 = 20.

Q. 24औसत

Average of 8 numbers is 46. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (46×8−30)/7 = 48.

Q. 25औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 26औसत

Average of 6 numbers is 32. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (195+24)/7 = 31.

Q. 27औसत

Average of 20, 23 and 25 is

Answer / solution

Correct option: B

(20+23+25)/3 = 22.

Q. 28औसत

Average of 8 numbers is 54. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (54×8−22)/7 = 58.

Q. 29औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 30औसत

Average of 6 numbers is 40. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (243+40)/7 = 40.

Q. 31औसत

Average of 15, 20 and 24 is

Answer / solution

Correct option: C

(15+20+24)/3 = 19.

Q. 32औसत

Average of 8 numbers is 42. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (42×8−30)/7 = 43.

Q. 33औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 34औसत

Average of 6 numbers is 28. A new number 24 is added. New average is

Answer / solution

Correct option: A

New avg = (171+24)/7 = 27.

Q. 35औसत

Average of 19, 24 and 28 is

Answer / solution

Correct option: A

(19+24+28)/3 = 23.

Q. 36औसत

Average of 8 numbers is 50. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (50×8−22)/7 = 54.

Q. 37औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 38औसत

Average of 6 numbers is 36. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (219+40)/7 = 37.

Q. 39औसत

Average of 14, 21 and 27 is

Answer / solution

Correct option: A

(14+21+27)/3 = 20.

Q. 40औसत

Average of 8 numbers is 58. If 30 is removed, new average is

Answer / solution

Correct option: A

New = (58×8−30)/7 = 62.

Q. 41औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 42औसत

Average of 6 numbers is 24. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (147+24)/7 = 24.

Q. 43औसत

Average of 18, 18 and 26 is

Answer / solution

Correct option: A

(18+18+26)/3 = 20.

Q. 44औसत

Average of 8 numbers is 46. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (46×8−22)/7 = 49.

Q. 45औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 46औसत

Average of 6 numbers is 32. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (195+40)/7 = 33.

Q. 47औसत

Average of 13, 22 and 25 is

Answer / solution

Correct option: A

(13+22+25)/3 = 20.

Q. 48औसत

Average of 8 numbers is 54. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (54×8−30)/7 = 57.

Q. 49औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 50औसत

Average of 6 numbers is 40. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (243+24)/7 = 38.

Q. 51औसत

Average of 17, 19 and 24 is

Answer / solution

Correct option: C

(17+19+24)/3 = 20.

Q. 52औसत

Average of 8 numbers is 42. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (42×8−22)/7 = 44.

Q. 53औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 54औसत

Average of 6 numbers is 28. A new number 40 is added. New average is

Answer / solution

Correct option: D

New avg = (171+40)/7 = 30.

Q. 55औसत

Average of 12, 23 and 28 is

Answer / solution

Correct option: D

(12+23+28)/3 = 21.

Q. 56औसत

Average of 8 numbers is 50. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (50×8−30)/7 = 52.

Q. 57औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 58औसत

Average of 6 numbers is 36. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (219+24)/7 = 34.

Q. 59औसत

Average of 16, 20 and 27 is

Answer / solution

Correct option: D

(16+20+27)/3 = 21.

Q. 60औसत

Average of 8 numbers is 58. If 22 is removed, new average is

Answer / solution

Correct option: C

New = (58×8−22)/7 = 63.

Q. 61औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 62औसत

Average of 6 numbers is 24. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (147+40)/7 = 26.

Q. 63औसत

Average of 20, 24 and 26 is

Answer / solution

Correct option: C

(20+24+26)/3 = 23.

Q. 64औसत

Average of 8 numbers is 46. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (46×8−30)/7 = 48.

Q. 65औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 66औसत

Average of 6 numbers is 32. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (195+24)/7 = 31.

Q. 67औसत

Average of 15, 21 and 25 is

Answer / solution

Correct option: B

(15+21+25)/3 = 20.

Q. 68औसत

Average of 8 numbers is 54. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (54×8−22)/7 = 58.

Q. 69औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 70औसत

Average of 6 numbers is 40. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (243+40)/7 = 40.

Q. 71औसत

Average of 19, 18 and 24 is

Answer / solution

Correct option: B

(19+18+24)/3 = 20.

Q. 72औसत

Average of 8 numbers is 42. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (42×8−30)/7 = 43.

Q. 73औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 74औसत

Average of 6 numbers is 28. A new number 24 is added. New average is

Answer / solution

Correct option: A

New avg = (171+24)/7 = 27.

Q. 75औसत

Average of 14, 22 and 28 is

Answer / solution

Correct option: B

(14+22+28)/3 = 21.

Q. 76औसत

Average of 8 numbers is 50. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (50×8−22)/7 = 54.

Q. 77औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 78औसत

Average of 6 numbers is 36. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (219+40)/7 = 37.

Q. 79औसत

Average of 18, 19 and 27 is

Answer / solution

Correct option: D

(18+19+27)/3 = 21.

Q. 80औसत

Average of 8 numbers is 58. If 30 is removed, new average is

Answer / solution

Correct option: A

New = (58×8−30)/7 = 62.

Q. 81औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 82औसत

Average of 6 numbers is 24. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (147+24)/7 = 24.

Q. 83औसत

Average of 13, 23 and 26 is

Answer / solution

Correct option: C

(13+23+26)/3 = 20.

Q. 84औसत

Average of 8 numbers is 46. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (46×8−22)/7 = 49.

Q. 85औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 86औसत

Average of 6 numbers is 32. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (195+40)/7 = 33.

Q. 87औसत

Average of 17, 20 and 25 is

Answer / solution

Correct option: C

(17+20+25)/3 = 20.

Q. 88औसत

Average of 8 numbers is 54. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (54×8−30)/7 = 57.

Q. 89औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 90औसत

Average of 6 numbers is 40. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (243+24)/7 = 38.

Q. 91औसत

Average of 12, 24 and 24 is

Answer / solution

Correct option: C

(12+24+24)/3 = 20.

Q. 92औसत

Average of 8 numbers is 42. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (42×8−22)/7 = 44.

Q. 93औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 94औसत

Average of 6 numbers is 28. A new number 40 is added. New average is

Answer / solution

Correct option: D

New avg = (171+40)/7 = 30.

Q. 95औसत

Average of 16, 21 and 28 is

Answer / solution

Correct option: B

(16+21+28)/3 = 21.

Q. 96औसत

Average of 8 numbers is 50. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (50×8−30)/7 = 52.

Q. 97औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 98औसत

Average of 6 numbers is 36. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (219+24)/7 = 34.

Q. 99औसत

Average of 20, 18 and 27 is

Answer / solution

Correct option: A

(20+18+27)/3 = 21.

Q. 100औसत

Average of 8 numbers is 58. If 22 is removed, new average is

Answer / solution

Correct option: C

New = (58×8−22)/7 = 63.

Q. 101औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 102औसत

Average of 6 numbers is 24. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (147+40)/7 = 26.

Q. 103औसत

Average of 15, 22 and 26 is

Answer / solution

Correct option: A

(15+22+26)/3 = 21.

Q. 104औसत

Average of 8 numbers is 46. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (46×8−30)/7 = 48.

Q. 105औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 106औसत

Average of 6 numbers is 32. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (195+24)/7 = 31.

Q. 107औसत

Average of 19, 19 and 25 is

Answer / solution

Correct option: C

(19+19+25)/3 = 21.

Q. 108औसत

Average of 8 numbers is 54. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (54×8−22)/7 = 58.

Q. 109औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 110औसत

Average of 6 numbers is 40. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (243+40)/7 = 40.

Q. 111औसत

Average of 14, 23 and 24 is

Answer / solution

Correct option: B

(14+23+24)/3 = 20.

Q. 112औसत

Average of 8 numbers is 42. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (42×8−30)/7 = 43.

Q. 113औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 114औसत

Average of 6 numbers is 28. A new number 24 is added. New average is

Answer / solution

Correct option: A

New avg = (171+24)/7 = 27.

Q. 115औसत

Average of 18, 20 and 28 is

Answer / solution

Correct option: C

(18+20+28)/3 = 22.

Q. 116औसत

Average of 8 numbers is 50. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (50×8−22)/7 = 54.

Q. 117औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 118औसत

Average of 6 numbers is 36. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (219+40)/7 = 37.

Q. 119औसत

Average of 13, 24 and 27 is

Answer / solution

Correct option: A

(13+24+27)/3 = 21.

Q. 120औसत

Average of 8 numbers is 58. If 30 is removed, new average is

Answer / solution

Correct option: A

New = (58×8−30)/7 = 62.

Q. 121औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 122औसत

Average of 6 numbers is 24. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (147+24)/7 = 24.

Q. 123औसत

Average of 17, 21 and 26 is

Answer / solution

Correct option: A

(17+21+26)/3 = 21.

Q. 124औसत

Average of 8 numbers is 46. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (46×8−22)/7 = 49.

Q. 125औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 126औसत

Average of 6 numbers is 32. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (195+40)/7 = 33.

Q. 127औसत

Average of 12, 18 and 25 is

Answer / solution

Correct option: A

(12+18+25)/3 = 18.

Q. 128औसत

Average of 8 numbers is 54. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (54×8−30)/7 = 57.

Q. 129औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 130औसत

Average of 6 numbers is 40. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (243+24)/7 = 38.

Q. 131औसत

Average of 16, 22 and 24 is

Answer / solution

Correct option: C

(16+22+24)/3 = 20.

Q. 132औसत

Average of 8 numbers is 42. If 22 is removed, new average is

Answer / solution

Correct option: B

New = (42×8−22)/7 = 44.

Q. 133औसत

Average of 5 terms in AP starting at 14 with common difference 5 is

Answer / solution

Correct option: A

Sum = 120, average = 120/5 = 24.

Q. 134औसत

Average of 6 numbers is 28. A new number 40 is added. New average is

Answer / solution

Correct option: D

New avg = (171+40)/7 = 30.

Q. 135औसत

Average of 20, 19 and 28 is

Answer / solution

Correct option: C

(20+19+28)/3 = 22.

Q. 136औसत

Average of 8 numbers is 50. If 30 is removed, new average is

Answer / solution

Correct option: D

New = (50×8−30)/7 = 52.

Q. 137औसत

Average of 5 terms in AP starting at 22 with common difference 5 is

Answer / solution

Correct option: D

Sum = 160, average = 160/5 = 32.

Q. 138औसत

Average of 6 numbers is 36. A new number 24 is added. New average is

Answer / solution

Correct option: C

New avg = (219+24)/7 = 34.

Q. 139औसत

Average of 15, 23 and 27 is

Answer / solution

Correct option: D

(15+23+27)/3 = 21.

Q. 140औसत

Average of 8 numbers is 58. If 22 is removed, new average is

Answer / solution

Correct option: C

New = (58×8−22)/7 = 63.

Q. 141औसत

Average of 5 terms in AP starting at 10 with common difference 5 is

Answer / solution

Correct option: D

Sum = 100, average = 100/5 = 20.

Q. 142औसत

Average of 6 numbers is 24. A new number 40 is added. New average is

Answer / solution

Correct option: B

New avg = (147+40)/7 = 26.

Q. 143औसत

Average of 19, 20 and 26 is

Answer / solution

Correct option: D

(19+20+26)/3 = 21.

Q. 144औसत

Average of 8 numbers is 46. If 30 is removed, new average is

Answer / solution

Correct option: B

New = (46×8−30)/7 = 48.

Q. 145औसत

Average of 5 terms in AP starting at 18 with common difference 5 is

Answer / solution

Correct option: B

Sum = 140, average = 140/5 = 28.

Q. 146औसत

Average of 6 numbers is 32. A new number 24 is added. New average is

Answer / solution

Correct option: B

New avg = (195+24)/7 = 31.

Q. 147औसत

Average of 14, 24 and 25 is

Answer / solution

Correct option: D

(14+24+25)/3 = 21.

Q. 148औसत

Average of 8 numbers is 54. If 22 is removed, new average is

Answer / solution

Correct option: D

New = (54×8−22)/7 = 58.

Q. 149औसत

Average of 5 terms in AP starting at 26 with common difference 5 is

Answer / solution

Correct option: A

Sum = 180, average = 180/5 = 36.

Q. 150औसत

Average of 6 numbers is 40. A new number 40 is added. New average is

Answer / solution

Correct option: C

New avg = (243+40)/7 = 40.

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