Question

last year, nine employees of an electronics company retired. their ages at retirement are listed below. find the mean retirement age. round your answer to the nearest tenth as needed. 51 67 62 55 64 58 64 57 57 a. 58.0 b. 58.8 c. 59.4 d. 58.2

Explanation:

Step1: Calculate the sum of ages

$$51 + 67+62 + 55+64 + 58+64 + 57+57$$
$$=(51 + 67)+62+(55 + 64)+58+(64 + 57)+57$$
$$=118+62 + 119+58+121+57$$
$$=(118 + 62)+(119 + 58)+(121 + 57)$$
$$=180+177+178$$
$$=535$$

Step2: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 9$ (number of employees) and $\sum_{i=1}^{n}x_{i}=535$
$$\bar{x}=\frac{535}{9}\approx59.4$$

Answer:

C. 59.4