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Chapter 10: Q. 17 (page 669)

Which of the following is false?

(a) A measure of center alone does not completely describe the characteristics of a set of data. Some measure of spread is also needed.

(b) If the original measurements are expressed in inches, the standard deviation would be expressed in square inches.

(c) One of the disadvantages of a histogram is that it doesn’t show each data value.

(d) Between the range and the interquartile range, the IQR is a better measure of spread if there are outliers.

(e) If a distribution is skewed, the median and interquartile range should be reported rather than the mean and standard deviation.

Short Answer

Expert verified

The false statement is that if the original measurements are expressed in inches, the standard deviation would be expressed in square inches.

Step by step solution

01

Given Information 

We have to find out the statement which is false.

02

Explanation

Now as we know that,

1.the measure of center alone can not completely describe the characteristics of set of data. so option (a) is correct.

2.if the original measurements are expressed in inches than standard deviation is not expressed in inches. so option (b) is incorrect

3.the histogram only show the class boundaries and frequency. so, option (c) is correct.

4.It is also true that between range and interquartile range, IQR has greater preference. so option (d) is correct.

5.It is true that is distribution is skewed than median and interquartile range is preferred.

Hence, statement (b) is false

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