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Chapter 2: Q. 56 (page 134)

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

Short Answer

Expert verified

The mode is3and is less than the median, which is4.

Step by step solution

01

Given information

Given the distribution graph.

02

Explanation

The median is calculated using the below formula:

Median=size ofN+12thterm

xFrequency, fCumulative frequency, cf
388
4412
5214
6216
7117

Median=size of17+12thterm=size of9thitem=4∵cumulative frequency9lies inx=4

The mode is one that has a maximum frequency.

Therefore, the mode is 3.

Hence, the mode is less than the median.

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