Question

1. the following data set represents the average high monthly temperature in denver, co. 44, 46, 54, 61, 71, 81, 88, 86, 77, 65, 52, 43 mean: ______ median: ______

Explanation:

Step1: Calculate the sum of data

$44 + 46+54 + 61+71+81+88+86+77+65+52+43=778$

Step2: Calculate the mean

The number of data points $n = 12$. Mean $\bar{x}=\frac{778}{12}\approx64.83$

Step3: Arrange data in ascending order

$43,44,46,52,54,61,65,71,77,81,86,88$

Step4: Calculate the median

Since $n = 12$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data values. $\frac{n}{2}=6$ and $\frac{n}{2}+1 = 7$. Median $=\frac{61 + 65}{2}=63$

Answer:

Mean: $64.83$
Median: $63$