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Chapter 3: Q 3.13 (page 101)

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is:1,9,8,4,3.

Short Answer

Expert verified

a) Mean=5

b) Median=4

c) Mode does not exist, because no value occurs more than once.

Step by step solution

01

Step 1. Given information.  

The given data is1,9,8,4,3.

02

Step 2. Mean of the data. 

Mean=SumofobservationNumberofobservation

=1+9+8+4+35=5

03

Step 3. Median of the data. 

Arrange the data in increasing order 1,3,4,8,9.

The number of observation is 5.

The median is the observation exactly in the middle of the ordered list.

Thus, the median is4.

04

Step 4. Mode of the data.  

Mode does not exist, because no value occurs more than once.

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Most popular questions from this chapter

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5,6,7,1,2,3,4,5,6,7

How many standard deviations to either side of the mean must we go to ensure that for any data set, at least 99%of the observations lie within?

Women Students. The US Department of Education sponsors a report on educational institutions, including colleges and universities, titled Digest of Education Statistics. Among many of the statistics provided are the numbers of men and women enrolled in 2yearand 4yeardegree-granting institutions. During one year, the percentage of full-time enrolled students that were women, for each of the 50states and the District of Columbia, is as presented on the WeissStats site.

a. obtain and interpret the quartiles.

b. determine and interpret the interquartile range.

e. find and interpret the five-number summary

d. identify potential outliers, if any.

e. obtain and interpret boxplot.

The Great White Shark. In an article titled "Great White. Deep Trouble" (National Geographic, Vol. 197(4), pp. 2-29). Peter Benchley-the author of JAWS-discussed various aspects of the Great White Shark Carcharodon carcharias). Data on the number of pups borne in a lifetime by each of 80Great White Shark females are provided on the WeissStats site.

a. obtain and interpret the quartiles.

b. determine and interpret the interquartile range.

c. find and interpret the five-number summary

d. identify potential outliers, if any.

e. obtain and interpret boxplot.

A quantitative data set has size 50. At least how many observations lie within three standard deviation to either side of the mean?
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