Question

use the given graph to find the mean, median and mode of the following distribution: the mean is _______the median is _______the mode(s) is/are: __________Note: when the data is presented in a frequency table, the formula to find the mean is:

Answer 1

Given:

From the graph above, a frequency table can be made as shown below;

To calculate the mean;

`\begin{gathered} \text{Mean}=(\Sigma fx)/(\Sigma f) \\ \text{Mean}=(189)/(20) \\ \text{Mean}=9.45 \end{gathered}`

Therefore, the mean is 9.45

To calculate the median;

Median is the middle term when the data is arranged in rank order.

Since we have 20 terms, then the middle terms will be the 10th and 11th terms.

The median will be the mean of these two numbers.

`\begin{gathered} 10th\text{ term=9} \\ 11th\text{ term=10} \\ \text{Median}=(9+10)/(2) \\ \text{Median}=(19)/(2) \\ \text{Median}=9.5 \end{gathered}`

Therefore, the median is 9.5

To calculate the mode;

The mode is the data that appears most in the set. It is the data with the highest frequency.

From the graph

From the graph