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WorksheetsMeasures of Center & Spread
Total questions: 77
Worksheet time: 3hrs 27mins
It's the number you get when you add all the numbers together and then divide by the amount of numbers you have.
mean
median
mode
range
It's the middle number in a set of data.
mean
median
mode
range
It's the number that occurs the most times in a set of data.
mean
median
mode
range
It is a measure of variability that you get when you subtract the smallest number in a set of data from the largest number.
mean
median
mode
range
Which measure of center should you use if there is an outlier in your data?
mean
median
Which measure of center should you use if there are no outliers?
mean
median
What is the median of the following set of data?
14, 21, 23, 25, 25
25
23
14
21
What is the mode of the following set of data?
14, 21, 23, 25, 25
23
21
14
25
Is there an outlier in the following set of data?
8, 45, 45, 47, 48, 48, 49, 50
yes
no
Which measure of center should you use for the following data distribution?
mean
median
Which is true?
Mean < Median
Mean = Median
Mean > Median
Which measure of center should you use?
mean
median
Which is true?
Mean < Median
Mean = Median
Mean > Median
Which measure of center should you use?
mean
median
Which is true?
Mean < Median
Mean = Median
Mean > Median
Which measure of center should you use?
mean
median
Which is true?
Mean < Median
Mean = Median
Mean > Median
Which measure of center should you use?
mean
median
4,5,5,2,3,3,2,8
What is the first thing you should do before finding the median or the mode?
Start crossing numbers off
Put numbers in order from least to greatest
List the numbers how they are
Look for repeats
3, 5, 7, 4, 3, 1
4, 5, 4, 3, 5, 1, 6
Which of the following is NOT a Measure of Center?
mean
median
mode
range
What is the MEAN of the data set below?
14
18
31
90
What is the median of the data set?
18
20
22
51
What is the mode of the data set?
12
14
12 and 14
no mode
What is an outlier?
A value that repeats more than the other values
The middle value when the numbers are in order least to greatest
A value that is much less or much greater than the rest of the data
The difference between the greatest value and the least value in a data set
How does the outlier in the data set below effect the mean?
it increases the mean
it decreases the mean
it has no effect on the mean
there is no outlier
Where is the gap in the histogram?
0-4
5-9
10-14
15-19
Where is the peak in the data shown?
0
1
2
3
Which graph has line symmetry?
What is the range of the data below?
100, 42, 120, 42, 30
90
78
58
26
What is the mode?
Number that occurs the most
The Average
The difference between the highest and lowest values
The Number in the middle
What is the mean?
The number that occurs the most
The number in the middle
The difference between the highest and lowest values
The Average
What is the median?
The number in the middle
The difference between the highest and lowest values
The number that occurs the most
The average
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
13
12
11
10
Find the mean of these numbers:
2, 57, 38, 42, 6
29
38
50
145
How do you find the Interquartile Range?
divide the 3rd quartile by the 1st quartile
subtract the biggest number by the smallest number
divide the biggest number by the smallest number
subtract the 3rd quartile by the 1st quartile
What is the outlier in this data set?
{23, 60, 30, 21, 25, 35, 29}
35
21
30
60
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
193
127
60
66
What is the IQR?
5.5
4
4.5
6
Which car club has the higher median?
Cruisers
Car Hops
What data value is the upper quartile (Q3)?
64
62
66
58
Which club has the smaller spread?
Cruisers
Car Hops
75% of the Cruisers went to more than 13 car shows. True or False?
True
False
The double box plot shows the average monthly high temperatures for Phoenix, Arizona, and Las Vegas, Nevada.
Las Vega temperatures show greater variability than Phoenix.
Phoenix temperatures show greater variability than Las Vegas.
Las Vegas temperatures are more consistently centered around the median.
Phoenix has a greater temperature range than Las Vegas.
The double dot plot shows the number of city pet registrations for several days.
The mean number of cat registrations is greater than the mean number of dog registrations.
The dogs’ data has a mean of 10 registrations.
The cats’ data has a mean of 15 registrations.
The mean number of dog registrations is greater than the mean number of cat registrations.
The double box plot below shows the number of car shows attended by two car clubs each year. Compare the centers and variations of the two populations.
The Cruisers' IQR is 5 greater than the Car Hops' IQR.
The Car Hops' IQR is 2 greater than the Cruisers' IQR.
The data for the Car Hops is more consistent.
The data for the Cruisers is more consistent.
The double box plot below shows the results of a school survey about types of lunch purchased.
The a la carte data have less variation than full lunch.
The a la carte data are centered around a higher value.
The data for full lunch has a median of 180.
The data for a la carte lunches has an interquartile range of 240 students.
The double box plot shows the number of Calories per serving for various fruits and vegetables.
The median for the fruit data is 125.
The median for the vegetable data is 75.
The fruits have a higher number of calories with a greater variation.
The vegetables have a higher number of calories with a greater variation.
The double dot plot shows the gas mileage, in miles per gallon, for several cars and SUVs.
The cars have a greater gas mileage with a greater variation.
The cars have a greater gas mileage with a less variation.
SUVs have less gas mileage with greater variation.
SUVs are centered around a greater median.
The double plot shows the daily attendance for two fitness clubs for one month.
Fun Fit has greater attendance with greater variation.
Greg's Gym has greater attendance with greater variation.
Fun Fit has greater attendance with less variation.
Greg’s Gym has a greater attendance with less variation.
The double box plot shows the heights in inches for the players on two professional basketball teams.
While the median heights are about the same, the variation in heights is greater for the NJ Nets than the NY Knicks.
While the median heights are about the same, the variation in heights is greater for the NY Knicks than the NJ Nets.
The heights of the NJ Nets are more consistently centered around the median.
The heights of the NY Knicks are less consistently centered around the median.
The double dot plot shows the number of minutes two students spent practicing the piano.
Both data sets have the same variation, but Lily’s data centers around a higher value.
Both data sets have the same variation, but Alessandra's data centers around a higher value.
Generally, Lily practiced less minutes than Alessandra.
Generally, Alessandra practiced more minutes than Lily.
The double box plot shows the daily number of customers for two ice cream parlors.
The Corner Creamery’s data centers around 80 customers with an interquartile range of 35 customers.
Sue’s Ice Cream data centers around 60 customers with an interquartile range of 20 customers.
Sue's Ice Cream has a greater number of daily customers.
Sue’s Ice Cream has a greater consistency in its distribution.
The double dot plot shows Kareem's and Martin's race times for a three-mile race.
Martin typically runs a faster race.
Kareem typically runs a faster race.
Martin's race times are more consistent.
Kareem's race times are less consistent.
Ms. Andrey claims the average score on a quiz in her class was 25. Mr. Luna claims the average score on a quiz in his class is 25.
Ms. Andrey used the mode, while Mr. Luna used the median.
Ms. Andrey used the mean, while Mr. Luna used the mode.
Both teachers used the mean.
Both teachers used the median.
Which measure might be misleading in describing the value of each item?
The mode, because it is significantly higher than the average.
The mean, which gives an average value for the items.
The mean, because of the outlier.
The mode, because it is lower than the average.
The table that shows the miles of shoreline for five states.
Which statement is true?
The mode is misleading because it is in the center of the data points.
The mean is misleading because the outlier skews the mean down.
The median is misleading because it is in the center of the data.
The range is misleading because it is too large.
Which measure of center most accurately describes the data?
Mean
Median
Mode
Range
4,5,5,2,3,3,2,8
3, 5, 7, 4, 3, 1
4, 5, 4, 3, 5, 1, 6
What can you tell about the mean and the median by just looking at the graph?
The mean is greater than the median.
The mean and the median are about equal.
The mean is less than the median.
Select all that apply to this data set.
The outlier is 0
The mode is 4
The median is 4
The mean is 3
Find the range of the data set:
24, 49, 47, 78, 66, 37, 49, 82
54
33
58
59
