Chapter 1.3, Problem 95E

(a)

To determine

To calculate the median of the given data.

Answer to Problem 95E

Median = 2

Explanation of Solution

Given:

  

Calculation:

  $\begin{array}{l}\text{Median = }\frac{{\left(\frac{n}{2}\right)}^{\text{Th term}}+{\left(\frac{n}{2}+1\right)}^{\text{Th term}}}{2}\\ =\frac{{\left(\frac{74}{2}\right)}^{\text{Th term}}+{\left(\frac{74}{2}+1\right)}^{\text{Th term}}}{2}\\ =\frac{{37}^{\text{Th term}}+{38}^{\text{Th term}}}{2}\\ =\frac{2+2}{2}\\ =2\end{array}$

(b)

To determine

To calculate the mean of the given graph.

Answer to Problem 95E

Mean = 2.62

Explanation of Solution

Formula used:

  $\text{Mean = }\frac{\sum fx}{\sum f}$

Calculation:

X	f	$fx$
0	15	0
1	11	11
2	15	30
3	11	33
4	8	32
5	5	25
6	3	18
7	3	21
8	3	24
Sum	74	194

  $\begin{array}{c}\text{Mean = }\frac{\sum fx}{\sum f}\\ =\frac{194}{74}\\ =2.62\end{array}$