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Chapter 2: Q. 59 (page 136)

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

Short Answer

Expert verified

The data distribution is symmetric becausemedian=mode

Step by step solution

01

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. If the distribution of data is skewed to the right, the mode is generally less than the median, which is less than the mean. The mode = the median = the mean if the data distribution is symmetric.

02

Content Explanation

The median is calculated using the below formula:

Median=N+12thterm

from the above table, N=21

Therefore,

Median=(21+12)thtermMedian=11thterm

Cumulative frequency 11thlies in x=5

The mode is one that has a maximum frequency.

Therefore, the mode is5.

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