Question

This Stem-and-Leaf Plot represents the heights of the students on Ralph’s basketball team. One student’s height is missing from the plot. If the mean height of all the students on the team is 61 inches, what is the missing height?
A. 55 in.
B. 59 in.
C. 61 in.
D. 65 in.

Answer 1

Using the mean of the data-set, it is found that the missing height in the stem-and-leaf plot is given by:

D. 65 in.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, following the key of the stem-and-left plot, there are 8 observations, given as follows:

54, 55, 56, 61, 63, 64, 70 and the missing value x.

The mean is of 61, hence:

$61 = \frac{54 + 55 + 56 + 61 + 63 + 64 + 70 + x}{8}$

423 + x = 61 x 8

x = 65.

Hence option D is correct.

More can be learned about the mean of a data-set at brainly.com/question/24628525

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