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if your have the following test scores: 72, 60, 78, 84, 54, and 90, wha…

Question

if your have the following test scores: 72, 60, 78, 84, 54, and 90, what is your mean test score?

Explanation:

Step1: Find the sum of scores

$$72 + 60+78 + 84+54 + 90$$
$$=(72 + 60)+(78 + 84)+(54 + 90)$$
$$=132+162 + 144$$
$$=294+144$$
$$=438$$

Step2: Count the number of scores

There are \(n = 6\) scores.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=438\) and \(n = 6\) into the formula: \(\bar{x}=\frac{438}{6}=73\)

Answer:

\(73\)