Chapter 14.3, Problem 5MCQ

To determine

To calculate: The mean of the test scores.

Answer to Problem 5MCQ

The mean of scores are $70.$

Explanation of Solution

Given information:

  

Formula used:

Formula of Mean

  $\overline{X}=\frac{{\displaystyle \sum X}}{n}$ where X represents each of the values in the data set.

Calculation:

Consider the data,

Scores	Frequency
54	1
55	1
62	2
64	1
65	1
71	1
75	1
76	1
77	1
78	1
79	1
80	1
82	1
84	1
85	1
86	1
87	1
88	1
89	3
90	1
92	1
93	2
95	1
96	1
98	1
99	1

So, $n=30$ .

The mean of the data is

  $\begin{array}{l}=\frac{\text{Sum of all observation}}{30}\\ =\frac{2100}{30}\\ =70\end{array}$

Hence, the mean is $70.$