statistics - Look at this set of 9 numbers: 95, 20, 26, 11, 66, 80, 14, 10, 25. How would the mean change if the number 66 replaced one of the 10's in the set?

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Find the mean of the given numbers

GIVEN: 95, 20, 26, 11, 66, 80, 14, 10, 25.

Mean = \frac{\text{ Sum of the variables}}{\text{Total number of variables}}

Add up the numbers

95 + 20+ 26 + 11 + 66 + 80 + 14 + 10 + 25. = 347

There 8 numbers

Therefore, Mean=\frac{347}{9}

Original mean = 38.55

Step 2: Replace the number and find the mean

GIVEN: 95, 20, 26, 11, 66, 80, 14, 10, 25.

66 replace one of the 10's in set

95, 20, 26, 11, 66, 80, 14, 66, 25.

95 + 20+ 26 + 11 + 66 + 80 + 14 + 66 + 25. = 403

There 8 numbers

Therefore, Mean=\frac{403}{8}

New mean = 50.375