Chapter 10, Problem 2CR

To determine

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

Answer to Problem 2CR

Mean of the data set is $\underset{\_}{\text{4}\text{.7}}$ grams, median of the data set is $\underset{\_}{5}$ grams and mode of the data set is $\underset{\_}{5}$ grams.

Explanation of Solution

Given information:

Data set of grams of fat for each serving for which mean , median and mode needs to be evaluated is as follows

  $2,7,4,5,6,4,5,6,3,5$

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= average of middle number of data arranged from least to greatest.

  3) mode = number or data occurred most often.

Calculation:

Data set of grams of fat for each serving is as follows

  $2,7,4,5,6,4,5,6,3,5$

Calculate mean of the data.

  $\text{mean=}\frac{2+7+4+5+6+4+5+6+3+5}{\text{10}}$

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

  $\text{=}\frac{\text{47}}{\text{10}}$

  $\text{=4}\text{.7}\text{grams}$

Calculate median of the data.

Arrange the given data from least to greatest and identify the middle terms.

  $2,3,4,4,\underset{\_}{5,5},5,6,6,7$

Average of middle data $=\frac{5+5}{2}=\frac{10}{2}=5$ .

Median = Average of middle data

  $\text{=5}\text{grams}$

Calculate mode of the data.

Arrange the given data from least to greatest.

  $2,3,4,4,\underset{\_}{5,5,5},6,6,7$

Most often time appeared data is 5 which appeared three times.

mode = number or data occurred most often.

  $\text{=5 grams}$

Hence mean of the data set is $\underset{\_}{\text{4}\text{.7}}$ grams, median of the data set is $\underset{\_}{5}$ grams and mode of the data set is $\underset{\_}{5}$ grams.