Chapter 13.1, Problem 6PPS

To determine

The mean, median and mode of the data

Answer to Problem 6PPS

Mean: $57$

Median: $60$

Mode: No mode

Explanation of Solution

Given:

The given data is

  $45,30,65,90,74,60,35$

Calculation:

Mean = Sum of all observations/Total number of observations

  $\begin{array}{l}=\frac{45+30+65+90+74+60+35}{7}\\ =\frac{399}{7}\\ =57\end{array}$

Median = The exact middle value of the data when arranged from least to greatest

Order the data from least to greatest: 30, 35, 45, 60, 65, 74, 90

As, the total number of observations are 7 (odd), median will be the exact middle value.

Median = 60

Mode = The most frequent value in the given data set

So, there is no mode of the given data as no value is being repeated more than once.