Chapter 11, Problem 3CR

To determine

To find mean, median and mode of the data.

Answer to Problem 3CR

Mean is $4°$ .

Median is $3°$ .

Mode is $10°$ .

Explanation of Solution

Given information:

A dataset.

Formula used:

Mean, $\overline{X}=\frac{{\displaystyle \sum _{}^{}X}}{n}$ where ${\displaystyle \sum _{}^{}X}$ is sum of all numbers and $n$ is total numbers.

Median= ${(\frac{n+1}{2})}^{th}ob$

Calculation:

For mean,

Substituting values,

  $\overline{X}=$

  $\frac{11+3+3-9-2+10+10+10}{9}$

Solving,

  $\overline{X}$

  $=\frac{36}{9}$

Hence, mean is $4°$ .

For median,

Arranging into ascending order,

  $-9,-2,0,3,3,10,10,10,11$

n = 9

Substituting values,

Median= ${(\frac{9+1}{2})}^{th}ob$

Solving,

= ${(\frac{10}{2})}^{th}ob$

Hence, 5^th ob.

Median is $3°$ .

For mode,

Mode is the most repeated value in a data set,

Here, 10 is most repeated value. Hence, mode is $10°$ .