Question

question #4
what is the mean score achieved by
a student who received the following
scores on 10 math quizzes?
75 78 83 89 92
82 93 95 81 82
82
95
85
81

Explanation:

Step1: Sum up all scores

$$75 + 78+83 + 89+92+82 + 93+95+81+82$$
$$=(75 + 78)+(83 + 89)+(92+82)+(93 + 95)+(81+82)$$
$$=153+172+174+188+163$$
$$=(153+172)+(174+188)+163$$
$$=325+362+163$$
$$=325+(362 + 163)$$
$$=325 + 525$$
$$=850$$

Step2: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 10$ (number of quizzes) and $\sum_{i=1}^{n}x_{i}=850$ (sum of scores)
$$\bar{x}=\frac{850}{10}=85$$

Answer:

85