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Chapter 3: Q 3.14 . (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:4,2,0,2,2.

Short Answer

Expert verified

a) Mean=2

b) Median=2

c) Mode=2

Step by step solution

01

Step 1. Given information.  

The given data is4,2,0,2,2.

02

Step 2. Mean of the data.  

Mean=SumofobservationNumberofobservation

=4+2+0+2+25=105=2

03

Step 3. Median of the data.  

Arrange the data in increasing order 0,2,2,2,4.

The number of observation is 5.

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

Thus, the median is2.

04

Step 4. Mode of the data. 

The entry occurring with the greatest frequency is2.

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Most popular questions from this chapter

Sickle Cell Disease. A study published by E. Anionwu et al. in the British Medical Journal (Vol. 282, pp. 283-286) examined the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SC. HB SS. and HB ST. Use the following boxplots to compare the hemoglobin levels for the three groups of patients, paying special attention to center and variation.

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.

Fill in the following blanks.

(a) A standardized variable always has mean _____ and standard deviation _______ .

(b) The z-score corresponding to an observed value of a variable tells you ______ .

(c) A positive z-score indicates that the observation is ______ the mean, whereas a negative z-score indicates that the observation is _______ the mean.


The data set has mean15and standard deviation 2. Approximately what percentage of the observations lie between 13and 17?

Regarding the interquartile range,

(a) What type of descriptive nature is it?

(b) What does it measure?
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