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Chapter 3: Q.3.65. (page 113)

In Exercises 3.65-3.70, we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.

a) Range.

b) sample standard deviation.

4,0,5

Short Answer

Expert verified

a)Range=5b)Samplestandarddevitation=2.65

Step by step solution

01

Step 1. Given information. 

We have given data :4,0,5

02

Step 2. Range of the data.  

Range=Max.value-Min.valueRange=5-0Range=5

03

Step 3. Standard deviation of the data

s=鈭�(x-x)2n-1=4-32+0-32+5-323-1=2.65

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Most popular questions from this chapter

A quantitative data set has size 60. At least how many observations lie within three standard deviation to either side of the mean ?

Consider the following sample of exam scores, arranged in increasing order.

The sample mean and sample standard deviation of these exam scores are 85and 16.1, respectively.
a. Compare the percentage of the observations that actually lie within two standard deviations to either side of the mean with that given by Chebyshev's rule withk=2
b. Repeat part (a) with k=3
c. Interpret your results from parts (a) and (b).

If the condition for using the empirical rule is met,why should that rule be used insted of Chebyshev's rule.

Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article 鈥淏ody Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania鈥� (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
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Define

a. descriptive measures,

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c. measures of variation.
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