Question

a group of people participated in a movie preview and the ages of the people who liked the movie were recorded. find the mean of the ages. 34 37 43 26 33 28 50 44 31 34 (1 point) 36 34 38 37

Explanation:

Step1: Calculate the sum of ages

$$34 + 37+43 + 26+33 + 28+50 + 44+31 + 34$$
$$=(34\times2)+37 + 43+26+33+28+50+44+31$$
$$=68+37 + 43+26+33+28+50+44+31$$
$$=68+(37 + 43)+(26+33)+(28+50)+(44+31)$$
$$=68 + 80+59+78+75$$
$$=68+80+(59+78)+75$$
$$=68+80 + 137+75$$
$$=(68+80)+(137+75)$$
$$=148+212$$
$$=360$$

Step2: Calculate the number of data points

There are \(n = 10\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substituting \(\sum_{i=1}^{n}x_{i}=360\) and \(n = 10\), we get \(\bar{x}=\frac{360}{10}=36\)

Answer:

A. 36