Question

Jacob recorded the ages of the people at a picnic. The data set is listed below.
12, 12, 14, 15, 16, 20, 24, 28, 32, 35, 36
What effect does the arrival of Jacob's 72-year old grandfather have on the mean age
of people at the picnic?
What effect does it have on the mean?

Answer 1

Answer:

Answer is below

Step-by-step explanation:

The mean of everyone except the 72-year old grandfather is $\frac{\left(12+12+14+15+16+20+24+28+32+35+36\right)}{11}$ = 22.18

The mean of everyone including the 72-year old grandfather is $\frac{\left(12+12+14+15+16+20+24+28+32+35+36+72\right)}{12}$ = 26.33

Adding in the 72-year old grandfather increases the mean because he is older than everyone else, creating a higher mean.

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