Practice Questions 2.2 ⭐️ Start of Final

Why is it important to look at the shape of a column of data before interpreting any statistics?

A) To see that all data values were included in the statistical analysis.
B) Because graphs for shape come first in the computer output.
C) Because shape determines the location and the spread of the column of data.
D) To see if the data is unimodal, symmetrical, and without any exceptions.

Why look at a chart to get shape information instead of looking at the data values themselves?

A) A chart is needed to summarize the shape characteristic so that we can see it.
B) This statement is false, it is always better to look at the data values directly to get shape information.
C) Charts are much easier to look at than columns of data.
D)  Statistical computer output will give charts, but not the column of data.

Match the two meanings below with their appropriate column titles in a frequency table.

A.  Frequency.
B.  Relative frequency.

__ Count of the data values in a category.
__ Proportion of the data values in a category.

In the frequency table below, what is the relative frequency for the category Mar? (answer to three decimal places, ex. 1.089)

Which of the following answers is NOT one of the first three columns in a frequency table

A) Frequency.
B) Cumulative Frequency.
C) Relative Frequency 
D)  Category.

In the frequency table below, what is the frequency for the category May? (answer to zero decimal places, ex. 1.)

In the frequency table below, what is the cumulative frequency and the cumulative relative frequency for the category Jun?


A) 100% and 100%
B) 1.0 and 1.0
C) 160.0 and 1.0
D) 35.0 and 0.21875

What type of graph is most appropriate to use to display the shape of qualitative data?

A) A pie chart where the slices of the pie touch one each other.
B) A bar chart where the bars do touch each other.
C)  A histogram where the bars do touch each another.
D) A bar chart where the bars do not touch each other.

A Pareto chart just a bar chart with the bars rearranged from the highest bar to the lowest bar.

True
False
True False

What type of graph is most appropriate to use to display the shape of discrete data?

A) A histogram where the bars do touch each another.
B) A mathematical curve such as a bell-shaped curve.
C) A bar chart where the bars do not touch each other.
D) A pie chart where the slices of the pie touch one each other.

In a histogram for discrete data, what characteristic is shown on the x-axis, and what characteristic is shown on the y-axis?

A) The data values in the data set on the x-axis, and the frequency of the data values on the y-axis.
B) Bins of the data values, and the frequency of the data values.
C) Bins of the data values, and bins of the frequency of the data values.
D) The frequency of the data values, and the data values in the data set.

In a histogram for continuous data, what characteristic is shown on the x-axis, and what characteristic is shown on the y-axis

A) The data values in the data set, and the frequency of the data values.
B)  Bins of the data values, and bins of the frequency of the data values.
C) Bins of the data values on the x-axis, and the frequency of the data values in the bins on the y-axis.
D) The frequency of the data values, and the data values in the data set.

When making a histogram for continuous data, a bin is just a range of possible data values.

True
False
True False

A boxplot is used to display the shape of qualitative data.

True
False
True False

A boxplot shows location and spread information as does a histogram.

True
False
True False

In a boxplot of continuous data, what percent of the data values lie inside the box, and what percent of the data values lie outside the box?

A) 25%, and 25%.
B) 50%, and 50%.
C)  100%, and 0%.
D) 75%, and 25%.

In the boxplot below, what is the value of the median?


A) 10
B)  40
C) 17.5
D) 36.25 
E) 27.5

In any boxplot (an example is shown below), the width of the box shows what characteristic of the data values?


A) The spread of the data values.
B) The count of the data values.
C) The shape of the data values.
D) The location of the data values.

What is the general approach to analyzing the information in a histogram?

A)  First look at the modality, then look at the symmetry.
B) First look the peak of the histogram, then look at the tails.
C) First look for the mean, then look for the standard deviation.
D) First look at the overall shape, then look for exceptions.

Which of the following answers is NOT one of our overall shapes?

A) A uniform shape.
B) A skewed shape.
C)  A symmetric shape.
D) A modeless shape.

A skewed left shape means that the peak of the histogram is on the left side of the histogram. A skewed right shape means that the peak of the histogram is on the right side of the histogram.

True
False
True False

Skewness in a histogram is a property of what in the histogram?

A)  The number of peaks.
B) The peak.
C) The tails. 
D) The extreme values.

Which of the following answers is NOT an exception when analyzing a histogram?

A) Any extreme values.
B) Any bimodal shapes.
C)  Any patterns or grouping.
D) Any gaps or peaks.

How is a gap distinguished from an extreme value?

A) A gap is narrow, an extreme value is wide.
B) There can be only one gap, while there can be many extreme values.
C) A gap is fits as part of the overall shape. An extreme value is outside the overall shape.
D)  A gap is close to the peak. An extreme value is far from the peak.