Deck 3: Data Analysis and Sampling Techniques

Question 1

When constructing a frequency distribution, which of the following rules must be followed?

A)the midpoint of each class must be an integer
B)the width of each class is equal to the lowest value in the data set
C)the number of classes must be an even number
D)adjacent classes cannot overlap

Answer 1

adjacent classes cannot overlap

Question 2

The rule of thumb for creating a frequency distribution is to divide the data into 5-15 classes. While larger numbers of classes allow for larger data sets, how do you know exactly how many classes to use

A)if in doubt about the number of classes, select 10 since it is the midpoint between 5 and 15 classes
B)select the number of classes that provides definition to the shape of the data
C)determine the width of the class interval, then calculate the number of classes
D)any number of classes between 5 and 15 is sufficient

Answer 2

select the number of classes that provides definition to the shape of the data

Question 3

Considering the various types of tables and charts you have studied, which table, chart, diagram or plot would you use to depict categorical data for two variables in a visual format

A)bar chart
B)pie chart
C)scatter plot
D)contingency table

Answer 3

bar chart

Question 4

For the list of values, 13, 18, 13, 14, 13, 16, 14, 21, 13, the mean, median, mode, and range are in the order

A)15, 13, 14, 8
B)15, 14, 13, 8
C)8, 15, 14, 13
D)14, 15, 13, 8

Question 5

Arrange the numbers in numerical order and see which is repeated most often. This describes which measure of central tendency

A)mean
B)median
C)range
D)mode

Question 6

The highest bar in a histogram represents

A)the class with the lowest relative frequency
B)the class with the lowest frequency
C)the class with the highest frequency
D)the class with the highest cumulative frequency

Question 7

The movie theater industry tracks ticket sales by age groups. A _______would provide an appropriate representation for the proportion of ticket sales attributed to each age group.

A)ogive
B)line graph
C)scatter diagram
D)pie chart

Question 8

You are constructing a histogram that is required to use 6 classes for a data set that ranges from 15 to 70. A class width of ____ units would be an appropriate choice

A)9
B)10
C)15
D)6

Question 9

A _______ would be an effective tool to assess the relationship between the grade earned in a class and the number of hours spent studying

A)scatter diagram
B)bar chart
C)histogram
D)pie chart

Question 10

How might an extreme value in the sample data set affect the value of the mean

A)an extreme value cannot affect the mean if it is close to the mean
B)all values are treated equally when determining the mean, so an extreme value cannot affect it
C)since all values are summed, any extreme value can influence the mean to a large extent
D)one extreme value is still only one value, so it cannot affect the mean very much

Question 11

Which of the following measures of central tendency is not affected by extreme values in the sample data set

A)mode
B)median
C)median and mode
D)mean

Question 12

How many elements of a data set are between the first and third quartiles

A)one half
B)one third
C)one fourth
D)three fourths

Question 13

Which of the following measures become larger as the data is more dispersed

A)median and range
B)mean, variance, and standard deviation
C)mean and median
D)range, variance, and standard deviation

Question 14

How is the arithmetic mean related to the variance

A)variance has the square of the mean in its formula
B)variance is not related to the mean, but standard deviation is
C)variance measures the variability of values about the mean
D)they are not related. one is a measure of central tendency, and the other is a measure of

Question 15

Which of the following sampling techniques will not result in a probability sample?

A)stratified
B)quota
C)random
D)systematic

Question 16

People who are available, volunteer, or can be easily recruited are used in the sampling method called ______

A)simple random sampling
B)cluster sampling
C)systematic sampling
D)convenience sampling

Question 17

In which of the following nonrandom sampling techniques does the researcher ask the research participants to identify other potential research participants

A)snowball
B)convenience
C)purposive
D)quota