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Chapter 2: Q. 57 (page 134)

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

Short Answer

Expert verified

The mean is 4.1and is greater than the median, which is4.

Step by step solution

01

Given information

Given the distribution graph.

02

Explanation

The mean is calculated using the below formula:

Mean=∑fxN

xFrequency, ffx
3824
4416
5210
6212
717

N=17
∑fx=69

∴Mean=6917=4.1

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=sizeof9thitem=4∵cumulative frequency9lies inx=4

Hence, the mean is greater than the median.

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