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Look at this set of 88 numbers:\newline20,75,37,22,69,67,23,9520, 75, 37, 22, 69, 67, 23, 95\newlineHow would the mean change if the number 3535 replaced the number 7575 in the set?\newlineChoices:\newline(A)increase\newline(B)decrease\newline(C)no change

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Full solution

Q. Look at this set of 88 numbers:\newline20,75,37,22,69,67,23,9520, 75, 37, 22, 69, 67, 23, 95\newlineHow would the mean change if the number 3535 replaced the number 7575 in the set?\newlineChoices:\newline(A)increase\newline(B)decrease\newline(C)no change
  1. Calculate Sum: Calculate the sum of the original set of numbers: 20+75+37+22+69+67+23+95=40820 + 75 + 37 + 22 + 69 + 67 + 23 + 95 = 408
  2. Calculate Mean: Calculate the mean of the original set:\newlineMean = Total sumNumber of elements\frac{\text{Total sum}}{\text{Number of elements}} = 4088\frac{408}{8} = 5151
  3. Replace and Recalculate Sum: Replace the number 7575 with 3535 in the set and calculate the new sum: New sum = 408−75+35=368408 - 75 + 35 = 368
  4. Calculate New Mean: Calculate the mean of the new set:\newlineNew mean = New sum / Number of elements = 3688=46\frac{368}{8} = 46

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