Question

Describe the relationship between the mean and the median of this distribution.

Short answer

$Mean=6$is equal to $median=6$.

Step-by-step solution

Content Introduction

The mean is less than the median, which is frequently less than the mode, if the data distribution is skewed to the left. The median = the mean if the data distribution is symmetric.

Content Explanation

The mean is calculated using the below formula:

$Mean=\frac{\sum fx}{N}$

$$\begin{gathered} Mean=\frac{90}{15} \\ Mean=6 \end{gathered}$$

The median is calculated using the below formula:

$\mathrm{Median}=\mathrm{size}\mathrm{of}{\left(\frac{\mathrm{N}+1}{2}\right)}^{\mathrm{th}}\mathrm{term}$

$$\begin{gathered} Median=\left(\frac{15+1}{2}\right) \\ Median=8 \\ Cumulativefrequencyis{8}^{th}whichliesinx=6 \end{gathered}$$