Chapter 10, Problem 1CR

To determine

To calculate: mean, median, and mode for the data set.

Answer to Problem 1CR

Mean of the data set is $\underset{\_}{\text{22}\text{.4}}$ students, media of the data set is $\underset{\_}{22}$ students and mode of the data set is $\underset{\_}{22}$ students.

Explanation of Solution

Given information:

Data set of number of students in math class for which mean , median and mode needs to be evaluated is as follows

  $22,23,24,22,21$

Formula used :

  1) $\text{mean=}\frac{\text{Sum}\text{of}\text{the}\text{data}}{\text{number}\text{of}\text{items}\text{in}\text{data}\text{set}}$

  2) median= middle number of data arranged from least to greatest.

  3) mode = number or data occurred most often.

Calculation:

Data set of number of students in math class is as follows

  $22,23,24,22,21$

Calculate mean of the data.

  $\text{mean=}\frac{\text{Sum}\text{of}\text{the}\text{data}}{\text{number}\text{of}\text{items}\text{in}\text{data}\text{set}}$

  $\text{=}\frac{\text{22+23+24+22+21}}{\text{5}}$

  $\text{=}\frac{\text{112}}{\text{5}}$

  $\text{=22}\text{.4}\text{students}$

Calculate median of the data.

Arrange the given data from least to greatest.

  $21,22,22,23,24$

Middle data of data set is third item that is 22.

Median = middle number of data arranged from least to greatest

  $\text{=22}\text{students}$

Calculate mode of the data.

Arrange the given data from least to greatest.

  $21,22,22,23,24$

Most often time appeared number is 22 which appeared two times.

mode = number or data occurred most often.

  $\text{=22 students}$

Hence mean of the data set is $\underset{\_}{\text{22}\text{.4}}$ students, media of the data set is $\underset{\_}{22}$ students and mode of the data set is $\underset{\_}{22}$ students.