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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鈥檛 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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Most popular questions from this chapter

Down the toilet A company that makes hotel toilets claims that its new pressure-assisted toilet reduces the average amount of water used by more than 0.5a gallon per flush when compared to its current model. To test this claim, the company randomly selects 30toilets of each type and measures the amount of water that is used when each toilet is flushed once. For the current-model toilets, the mean amount of water used is1.64a gal with a standard deviation of 0.29gal. For the new toilets, the mean amount of water used is 1.09galwith a standard deviation of 0.18gal.

(a) Carry out an appropriate significance test. What conclusion would you draw? (Note that the null hypothesis is notH0:渭1-渭2=0-

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