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Chapter 2: Q. 2.28 (page 103)

The number of books checked out from the library from 25students are as follows:

0;0;0;1;2;3;3;4;4;5;5;7;7;7;7;8;8;8;9;10;10;11;11;12;12

Find the mode.

Short Answer

Expert verified
The primary measure of mode in this case is 7text.
This number indicates that this 7text is the most common in the collection.

Step by step solution

01

Introduction

Mode is the observation which has the highest frequency; here we can note 7have frequency 4which is highest frequency. So mode is7here.

02

Explanation

Themostfrequentdataisreferredtoasthemode.
Thatis,itisameasureofcentraltendencythatcapturesthemostcommonlyoccurringfacts.
In our example, the maximum frequency is seen for the number seven, which is four.
As a result, we may state that the central tendency mode measure is7.

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Most popular questions from this chapter

Use the two frequency tables to compare the life expectancy of men and women from 20randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. What can we conclude about the life expectancy of women compared to men?

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

1;1;1;2;2;2;2;3;3;3;3;3;3;3;3;4;4;4;5;5

Describe the relationship between the mode and the median of this distribution.

A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.

a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.

b. Which group is most likely to have an outlier? Explain how you determined that.

c. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?

d. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread?

e. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread?

f. Look at the BMW 5 series. Estimate the interquartile range (IQR).

g. Look at the BMW 5 series. Are there more data in the interval 31 to 38 or in the interval 45 to 55? How do you know this?

h. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?

i. 31鈥�35

ii. 38鈥�41

iii. 41鈥�64

Construct a times series graph for

(a) the number of male births,

(b) the number of female births, and

(c) the total number of births.
See all solutions

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