AI generatedStatisticsCourse skill

Finding the change in mean after replacing a value

Finding the change in mean after replacing a value.

  • Mean = total of values ÷ number of values.
  • Mean × count recovers a total. Combine totals before dividing by a combined count.
  • Keep exact values until the final rounding step.

Example 1

A data set has 10 values. A value of 3 is corrected to 7. How does the mean change?

Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .

Example 2

A data set has 11 values. A value of 4 is corrected to 8. How does the mean change?

Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .

Your turn

Question 1

A data set has 12 values. A value of 5 is corrected to 9. How does the mean change?

Check answer
Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .
Question 2

A data set has 13 values. A value of 6 is corrected to 10. How does the mean change?

Check answer
Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .
Question 3

A data set has 14 values. A value of 7 is corrected to 11. How does the mean change?

Check answer
Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .
Question 4

A data set has 15 values. A value of 8 is corrected to 12. How does the mean change?

Check answer
Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .
Question 5

A data set has 16 values. A value of 9 is corrected to 13. How does the mean change?

Check answer
Change in totalOnly one value changes; the number of values stays the same.
Change in meanDivide the change in total by the unchanged count.
The mean increases by .