Question

l8 - practice test
score: 50/100 answered: 10/20
question 11
find the mean for this list of numbers
79 20
33 92
4 58
37 40
96 25
57 82
23 76
62
mean =
check answer

Explanation:

Step1: Sum all numbers

$$79 + 20+33 + 92+4 + 58+37 + 40+96 + 25+57 + 82+23 + 76+62$$
$$=(79 + 20)+(33 + 92)+(4 + 58)+(37 + 40)+(96 + 25)+(57 + 82)+(23 + 76)+62$$
$$=99+125+62+77+121+139+99+62$$
$$=(99 + 125)+(62 + 77)+(121 + 139)+(99 + 62)$$
$$=224+139+260+161$$
$$=(224 + 139)+(260 + 161)$$
$$=363+421=784$$

Step2: Count the number of elements

There are 15 numbers.

Step3: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 15$ and $\sum_{i=1}^{n}x_{i}=784$. So, $\bar{x}=\frac{784}{15}\approx52.27$

Answer:

$52.27$