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WorksheetsDescriptive Statistics
Total questions: 60
Worksheet time: 1hrs 5mins
The median of the lower half of a set of data.
interquartile range
frequency
lower quartile
upper quartile
The median of the lower half of a set of data.
interquartile range
frequency
lower quartile
upper quartile
the middle score in a distribution; half the scores are above it and half are below it
variance
median
mode
mean
the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores.
variance
mean
median
mode
The median of the upper half of a set of data
frequency
interquartile range
lower quartile
upper quartile
a computer measure of how much scores vary around the mean score
standard deviation
upper quartile
histogram
interquartile range
A point on a ranking scale of 0 to 100. The 50th percentile is the midpoint; half the people in the population being studied rank higher and half rank lower.
histogram
box plot
paired data set
percentile
A graph of vertical bars representing the frequency distribution of a set of data.
box plot
percentile
histogram
bar graph
The difference between the upper and lower quartiles
lower quartile
interquartile range
quartiles
upper quartile
the number of times a value of the data occurs
quartiles
frequency
upper quartile
lower quartile
mean of the squared deviations from the mean, or the square of the standard deviation
histogram
variance
median
quartiles
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
13
12
11
10
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
193
127
60
66
Find the mean of these numbers:
5,11,2,12,4,2
4.1
6
4.5
4
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
median:7 mode:3 range:7
median:6 mode:3 range:7
median:7 mode:3 range:8
What does the MEDIAN represent in a set of numbers?
whatever number in the middle of the list, regardless the value of numbers
the number that represents the middle value in a set of numbers
the number that appears most often
the highest number
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
median:7 mode:3 range:7
median:6 mode:3 range:7
median:7 mode:3 range:8
The table shows the frequency of the number of visits to the doctor per year for a group of children. What is the mean?
2
2.2
3
7.5
Find the median of these numbers:
4,2,7,4,3
2
5
7
4
Find the range.
7, 1, 1, 7, 1, 4, 1
6
5
7
3
Find the mean of these numbers:
2, 57, 38, 42, 6
29
38
50
145
The following table shows the annual salaries earned by employees of a small company. What is the mean?
75,650
54,950
42,750
51,000
The following table shows the annual salaries earned by employees of a small company. What is the median?
75,650
54,950
42,750
51,000
How many more runners ran 5-6 miles a week than ran 7-8 miles a week?
4
5
8
6
The scores awarded to 15 students for an assignment were as follows:
7 9 8 7 7 8 5 6 9 8 8 7 4 9 8
What is the mode?
6
7
8
9
Find the mean of these numbers:
5,11,2,12,4,2
4.1
6
4.5
4
Find the median, first quartile, third quartile, and interquartile range of the data.
32, 53, 72, 66, 47, 54, 49, 67, 71
Median: 54
First Quartile: 49
Third Quartile: 67
IQR: 18
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 21
Median: 54
First Quartile: 48
Third Quartile: 69
IQR: 22
Median: 54
First Quartile: 49
Third Quartile: 69
IQR: 20
What is the minimum in this data set?
0
4
9
40
What is the highest quiz grade in the stem and leaf plot?
9
26
92
96
Which of the following is a measure of data centrality?
Median
Z-score
Percentile
Standard deviation
Which of the following is a measure of data variability?
Mode
Quartile
Z-score
Range
Which of the following measures is NOT easily influenced by outliers in a data set?
Mean
Interquartile range
Variance
Correlation coefficient
Please find the median of the following data set:
1, 2, 3, 4, 5, 6, 7, 8
4
5
4.5
5.5
Which of the following statement is NOT true?
Median = Q2
50th percentile = Q2
IQR = Q1 - Q3
Range = Largest - Smallest
When a set of data is skewed to the right, we can say that ___.
the data set is postively skewed
the data set is negatively skewed
the mean is less than the median in most cases
the median and the mean are almost equal
Which of the following might be a proper estimate of the skewness of the data in the plot?
0
-0.5
0.8
0.2
What do we know about the a normally distributed population?
Approximately 68% of the data values fall within one standard deviation of the mean.
Approximately 95% of the data values fall within one standard deviation of the mean.
Approximately all of the data values fall within two standard deviations of the mean.
Approximately 95% of the data values fall within three standard deviations of the mean.
Which of the following boxplot corresponds to this histogram?
None of the above
When a set of data has suspect outliers, which of the following are preferred measures of central tendency and of variability?
mean and standard deviation
mean and range
median and range
median and interquartile range
Most data can be put into the following categories: Qualitative – Quantitative
TRUE
FALSE
Quantitative data may be either discrete or continuous.
Yes
No
Which one is the easiest method to sample?
Simple random sample
Cluster sample
Convenient sample.
Define the term 'mode' in statistics.
The average of all data points
The most frequently occurring value
The difference between the largest and smallest values
What is the 'median' in statistics?
The average of all data points
The middle value when the data is arranged in ascending order
The most frequently occurring value
When skewness is positive, the distribution is called:
(a)
The histogram and frequency polygon are two different ways to represent the same dataset.
TRUE
FALSE
What value is the lower quartile (Q1)?
60
55
75
88
What is the median?
75
60
80
88
What value is the upper quartile (Q3)?
55
88
80
75
How is variance defined in statistics?
The difference between the maximum and minimum values
The most frequently occurring value in a dataset
The average of the squared differences from the mean
The numbers of hours worked (per week) by 400 statistics students are shown in the table. The cumulative percent frequency for students working less than 20 hours per week is
20%
25%
80%
100%
The numbers of hours worked (per week) by 400 statistics students are shown in the table. The midpoint of the last class is
35.5
34
35
34.5
Given the following data: 1,2,3,4,5,6,7,8,9,10
the average of the data is 5
the average of the data is 6
the average of the data is 5.5
the average of the data is 55
Name 2 measures of dispersion
Range
Mode
Median
Standard deviation
Mean
The data in the picture:
is negatively skewed
positively skewed
symmetrical
Calculate the range of the following data set:
10, 15, 20, 25, 30
30
20
15
25
Which of the following represents the middle value when a data set is ordered?
mean
range
median
mode
What is the 'mode' in statistics?
The value that appears most frequently in a data set
The middle value when the data is arranged in ascending order
The average of all data points
How do you calculate the range of a data set?
Subtract the smallest value from the largest value
Add all the values together
Find the median of the data set
What does the term 'interquartile range' (IQR) refer to?
The difference between the first and third quartiles
The average of the first and second quartiles
The range of the entire data set
