Question 1

The _________ is a value that divides a distribution in half.
A) Mean
B) Mode
C) Median
D) Weighted mean

Accepted Answer

The median is the value that divides a distribution in half, with 50% of the data points below it and 50% above it.

Question 2

A ____________ statistic is a number that, because of its definition and formula, describes certain characteristics or properties of a batch of numbers.
A) Relative
B) Cumulative
C) Descriptive
D) Proportional

Accepted Answer

A descriptive statistic is used to summarize or describe the characteristics of a data set, such as mean, median, mode, etc.

Question 3

A frequency distribution that displays a few observations on the left or low end of the scale, and most observations are in the middle or high end of the scale is called
A) Positively skewed
B) Negatively skewed
C) Positive kurtosis
D) Negative kurtosis

Accepted Answer

B

Question 4

The _________ is the square root of the _________.
A) Range, interquartile range
B) Interquartile range, range
C) Standard deviation, variance
D) Variance, standard deviation

Accepted Answer

The standard deviation is the square root of the variance in statistics.

Question 5

Some measures of central tendency, known as _______________, are not sensitive to one or a few extremes values.
A) Outliers
B) Recalcitrant measures
C) Central tendency
D) Resistant measures

Accepted Answer

Resistant measures are measures of central tendency that are not affected by extreme values or outliers.

Question 6

An empirical ___________ distribution is a table that shows the number of observations having each value of a variable.
A) Frequency
B) Proportion
C) Cumulative proportion
D) Variance

Accepted Answer

A frequency distribution is a table that shows the number of observations having each value of a variable.

Question 7

The ____________ is the square root of the variance.

Accepted Answer

The answer of The ____________ is the square root of...

Question 8

One can calculate the range by subtracting the ___________ from the ____________.
A) Minimum, maximum
B) Maximum, minimum
C) Median, mean
D) Mean, median

Accepted Answer

The range is the difference between the maximum and minimum values.

Question 9

The ___________ is the average or mean of squared deviations, or the average of all the squared differences between each score and the mean.

Accepted Answer

The answer of The ___________ is the average or mean...

Question 10

The ____________ is the category with the greatest frequency of observations.
A) Median
B) Mode
C) Mean
D) Weighted mean

Accepted Answer

The mode is the category with the greatest frequency of observations.

Question 11

A __________ is a type of bar graph in which the height and area of the bars are proportional to the frequencies in each category of a nominal variable or in intervals of a continuous variable.

Accepted Answer

The answer of A __________ is a type of bar...

Question 12

A good reason to use the trimmed mean instead of the mean is to correct for
A) Outliers
B) Variation
C) Discrepancies
D) Bias

Accepted Answer

The trimmed mean is used to reduce the effect of outliers by removing a certain percentage of the smallest and largest values before calculating the mean.

Question 13

By subtracting the minimum value from the maximum value in a batch of numbers you can calculate the _______.
A) Range
B) Interquartile range
C) Variance
D) Standard deviation

Accepted Answer

The range is the difference between the maximum and minimum values in a set of numbers.

Question 14

If there is no variability (all the scores of the variable have the same value), measures of dispersion will equal
A) 0
B) 1
C) -1
D) Cannot be calculated

Accepted Answer

When there is no variability and all scores are the same, measures of dispersion like variance and standard deviation will equal 0, as there is no spread in the data.

Question 15

The __________ is a value that divides a distribution in half.
A) Median
B) Mode
C) Mean
D) Weighted mean

Accepted Answer

The median is the value that divides a distribution in half.

Question 16

A measure of _____________ describes the typical case in distribution.
A) Variation
B) Protocol
C) Deviation
D) Central tendency

Accepted Answer

Central tendency describes the typical case in a distribution by identifying the center or average of the data set, such as the mean, median, or mode.

Question 17

Why would one want to use a trimmed mean instead of a mean? In your answer please provide a numerical example that demonstrates the advantage.

Accepted Answer

The answer of Why would one want to use a...

Question 18

A _______ displays all of the observed values in a batch of numbers as dots along a horizontal or vertical line that represents the variable.
A) Bar chart
B) Histogram
C) Dot chart
D) Box plot

Accepted Answer

A dot chart, also known as a dot plot, displays individual data points as dots along a line, representing the distribution of values in a dataset.

Question 19

By transforming the raw frequency into a proportion or percentage we get a __________ frequency.
A) Cumulative
B) Relative
C) Proportional
D) Distributive

Accepted Answer

Relative frequency is obtained by transforming the raw frequency into a proportion or percentage.

Question 20

All of the following statements are true of measures of dispersion, except
A) If there is no variability, the measure will equal 0
B) If there is variability, the measure will be greater than 1
C) The measure will always be a positive number
D) The greater the variability in the data, the larger the numerical value of the measure

Accepted Answer

Measures of dispersion can be greater than 0 but not necessarily greater than 1. For example, the standard deviation or variance can be less than 1 if the data points are very close to each other.

Quiz 11: Making Sense of Data: First Steps

The _________ is a value that divides a distribution in half.

A ____________ statistic is a number that, because of its definition and formula, describes certain characteristics or properties of a batch of numbers.

A frequency distribution that displays a few observations on the left or low end of the scale, and most observations are in the middle or high end of the scale is called

The _ is the square root of the _.

Some measures of central tendency, known as _______________, are not sensitive to one or a few extremes values.

An empirical ___________ distribution is a table that shows the number of observations having each value of a variable.

The ____________ is the square root of the variance.

One can calculate the range by subtracting the _ from the __.

The ___________ is the average or mean of squared deviations, or the average of all the squared differences between each score and the mean.

The ____________ is the category with the greatest frequency of observations.

A __________ is a type of bar graph in which the height and area of the bars are proportional to the frequencies in each category of a nominal variable or in intervals of a continuous variable.

A good reason to use the trimmed mean instead of the mean is to correct for

By subtracting the minimum value from the maximum value in a batch of numbers you can calculate the _______.

If there is no variability (all the scores of the variable have the same value) , measures of dispersion will equal

The __________ is a value that divides a distribution in half.

A measure of _____________ describes the typical case in distribution.

Why would one want to use a trimmed mean instead of a mean? In your answer please provide a numerical example that demonstrates the advantage.

A _______ displays all of the observed values in a batch of numbers as dots along a horizontal or vertical line that represents the variable.

By transforming the raw frequency into a proportion or percentage we get a __________ frequency.

All of the following statements are true of measures of dispersion, except