Statistical Questions
Mean, Median & Mode
Range & MAD
5 Number Summary & IQR
Graphs
100
Is this a statistical question?
How many movies have you seen this month?
No
100
Find the mode of the data set.
14, 14, 17, 9, 11, 17, 24, 22, 17, 12
17
100
Find the range of the data set:
13, 12, 16, 18, 12, 20, 19, 17, 13, 14, 11, 13
9
100
Find the IQR of the data set.
15, 27, 16, 18, 20, 25, 13
10
100
Draw and label the 3 shapes of histograms.
200
Is this a statistical question?
What is the average weight of apples in a crate?
Yes
200
Find the median of the data set.
9, 10, 3, 5, 9, 7, 10, 3
8
200
Find the range of the data set.
46.4, 29.3, 48.2, 35.1, 46.4, 39.5, 41.3, 25.2
23
200
Find the 5 number summary of the data set.
7, 5, 3, 1, 9, 6, 6
Min: 1
Q1: 3
Median: 6
Q3: 7
Max: 9
200
Would it be more accurate to use mean or median as a measure of center for the data in this dot plot?
Median
300
Is this a statistical question?
What are the highest and lowest gas prices in Toledo?
Yes
300
Find the mode of the data set.
24, 33, 7, 36, 18, 14, 45, 30, 0, 3
No mode
300
Find the Mean Absolute Deviation of the data set.
10, 9, 3, 8, 10
2
300
Find the 5 number summary of the data set.
82, 87, 91, 61, 61, 67, 84, 91
Min: 61
Q1: 64
Median: 83
Q3: 89
Max: 91
300
What fraction of the people read 5 or more books?
1/5
400
Write a statistical question.
Answers will vary.
400
Find the mean of the data set.
3, 5, 10, 1, 1
4
400
Find the Mean Absolute Deviation of the data set.
35, 40, 38, 32, 41, 41
3
400
Find the IQR of the data set.
27, 19, 38, 11, 8, 41, 30, 33
20.5
400
What percent of students had 0 or 1 incorrect?
50%
500
What is your shoe size? is not a statistical question.
Turn this question into a statistical question.
Answers will vary. Something like, What are the shoes sizes of students in a class.
500
Find the mean of the data set.
3, 4, 5, 6, 7, 8
5.5
500
Find the mean absolute deviation of the data.
4, 3, 3, 2, 5
0.88
500
What is the IQR and 5 number summary of the data set based on the box plot?
IQR: 13
Min: 10
Q1: 15
Median: 21
Q3: 28
Max: 35
500
What is the average length of the paper clips based on this dot plot.
5.75 units