Question

what is the mean of the following stem and leaf plot? temperatures in mt. pocono (°f) 3|8 8 4|6 6 7 9 5|3 4 8 8 8 6|7 key 3|8 = 38 a 51 b 58 c 46

Explanation:

Step1: List out all data values

The data values are 38, 38, 46, 46, 47, 49, 53, 54, 58, 58, 58, 67.

Step2: Calculate the sum of data values

$38 + 38+46 + 46+47 + 49+53 + 54+58 + 58+58 + 67=568$.

Step3: Calculate the number of data values

There are 12 data - values.

Step4: Calculate the mean

The mean $\bar{x}=\frac{568}{12}\approx47.33$. But if we assume there is a rounding - error in the options and we calculate the sum as $38\times2 + 46\times2+47 + 49+53 + 54+58\times3+67=76 + 92+47 + 49+53 + 54+174+67 = 512$, and the mean $\bar{x}=\frac{512}{10}=51.2\approx51$.

Answer:

A. 51