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Data Analysis, Mean (Average), Median, and Mode

Total questions: 70

Worksheet time: 2hrs 20mins

Name
Class
Date
1.

Numeric and measurable types of data such as height, age, scores, cost are called __________

a)

qualitative

b)

quantitative

2.

Categorical data such as eye color and birthplace is called __________

a)

qualitative

b)

quantitative

3.

What are the three measures of central tendency? (Check all the apply)

a)

range

b)

median

c)

quartile

d)

mode

e)

mean

4.

The highest number minus the lowest number in a set of data is called the __________

a)

mean

b)

range

c)

median

d)

maximum

5.

The number that occurs most often in a data set is called the __________

a)

mean

b)

median

c)

mode

d)

range

6.

The middle number in an ordered set of data is called the ___________

a)

mean

b)

median

c)

mode

d)

range

7.

The average is called the __________

a)

mean

b)

median

c)

mode

d)

range

8.

Which of the following are measures of spread? (check all that apply)

a)

mode

b)

range

c)

lower quartile

d)

upper quartile

e)

interquartile range

9.

The ___________ describes how similar or varied the set of observed values are for a particular data item.

a)

central tendency

b)

range

c)

spread

d)

quartile

10.

A way to describe the concentration and the spread of data in a set is a _____________

a)

histogram

b)

stem-and-leaf plot

c)

box-and-whisker plot

d)

line graph

11.

The least value in a data set is called the _________

a)

minimum

b)

maximum

c)

lower quartile

d)

upper quartile

12.

The greatest value in a set of data is called the _________

a)

upper quartile

b)

lower quartile

c)

minimum

d)

maximum

13.

The _________ is the difference between the upper quartile and the lower quartile.

a)

range

b)

interquartile range

c)

outlier

d)

median

14.

_________ are numbers that are far away from all other data values in the set.

a)

Mode

b)

Histogram

c)

Outliers

d)

Range

15.

__________ is a way to display frequencies for two categorical variables.

a)

Box-and-whisker plot

b)

Stem-and-leaf plot

c)

Pie graph

d)

Two-way frequency table

16.

In order to find the median. the data must be sorted from least to greatest.

a)

true

b)

false

17.

The mode score on the Algebra test was 94. Which of these interpretations must be correct?

a)

99 was the highest score

b)

More students received a 94 than any other score

c)

No student scored below a 50

d)

A score of 91 was slightly below the average

18.

A data set can have more than one mode.

a)

true

b)

false

19.

To find the average of a set of numbers, add all the numbers in the data set and divide by __________

a)

2

b)

largest number

c)

smallest number

d)

the number of items in the set

20.

When you are trying to find the MEDIAN of a set of data and 2 numbers are left in the middle after putting them in order from least to greatest, what do you do?

a)

List both numbers as the median

b)

Add the 2 numbers and divide by 2

c)

Pick the one you want

d)

Subtract the 2 numbers

21.

Calculate the mean of the following set of numbers: 10, 15, 20, 25, 30

a)

20

b)

35

22.

Find the mean of the following set of numbers: 5, 10, 15, 20, 25

a)

10

b)

15

23.

What is the median of the data set: 12, 15, 18, 20, 25, 30, 35

a)

25

b)

20

24.

Determine the median of the data set: 8, 10, 12, 14, 16, 18, 20

a)

14

b)

10

25.

Identify the mode in the following data set: 5, 7, 7, 9, 9, 9, 11, 11, 13

a)

15

b)

9

26.

What is the mode of the data set: 3, 3, 5, 5, 7, 7, 9, 9, 11, 11

a)

3, 5, 7, 9, 11

b)

1, 3, 5, 7, 9

27.

Calculate the range of the data set: 10, 15, 20, 25, 30

a)

20

b)

5

28.

Find the range of the data set: 5, 10, 15, 20, 25

a)

10

b)

20

29.

Explain a real-life scenario where mean, median, mode, and range are used to analyze data.

a)

Number of cars in a parking lot

b)

Students' performance in a class

30.

Provide an example of how mean, median, mode, and range can be applied in a real-world situation.

a)

Calculating the distance between two cities

b)

Average income analysis

31.
Elliot says almost everyone arrived at the party after 10:00 P.M., but Nancy thinks most people came earlier. When did a majority of the people arrive? 
a)
7:00-7:59 P.M.
b)
8:00–8:59 P.M.
c)
9:00–9:59 P.M.
d)
10:00–10:59 P.M. 
32.
The leaves in this stem-and-leaf plot represent which place value?
a)
ones
b)
tens
c)
hundreds
d)
thousands
33.

Rank the data from least to greatest.

a)

55, 55, 55, 55, 55, 60, 60, 60, 60, 60, 70, 70, 75, 75, 85

b)

55, 55, 55, 55, 55, 55, 60, 60, 60, 70, 70, 70, 75, 75, 85

c)

55, 55, 55, 55, 55, 60, 60, 60, 60, 70, 70, 70, 75, 75, 85

d)

55, 55, 55, 55, 55, 60, 60, 60, 60, 70, 70, 75, 75, 75, 85

34.

Which of the following data sets would have the largest standard deviation?

a)

{3, 3, 4, 5, 5}

b)

{72, 73, 74, 75, 76}

c)

{2, 8,18, 26, 35}

d)

{8,10,12,14,16}

35.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the mean

a)

74.6

b)

1044

c)

6.5

d)

74.1

36.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the median

a)

74.5

b)

6.5

c)

74.6

d)

74, 76

37.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the mode

a)

74, 76

b)

74.5

c)

74.6

d)

6.5

38.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the range

a)

13

b)

6.5

c)

74.6

d)

74, 76

39.

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the standard deviation

a)

3.2

b)

3.3

c)

14

d)

74.5

40.

The histogram shown summarizes the responses of 100 people when asked, “What was the price of the last meal you purchased?” Based on the histogram, which of the following could be the interquartile range of the prices?

a)

40

b)

21

c)

10

d)

5

e)

3

41.
How many total people took the survey?
a)
50
b)
150
c)
100
d)
200
42.

How many data points fall between 120 and 160 if there are 280 data points total?

a)

280

b)

140

c)

40

d)

200

43.

The data display is for 40 data points. The median represents how many data points?

a)

25

b)

35

c)

20

d)

50

44.

Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. The histogram displays the data. Based on the information shown in the bar graph, which value is most likely the difference between the number of cars that drove between 250 and 300 km and the number of cars that drove between 150 and 200 km.

a)

4

b)

6

c)

2

d)

3

45.

Four baseball players recorded the number of days they practiced baseball each month for a year. Which stem-and-leaf plot has mode and median values that are equal?

a)

A

b)

B

c)

C

d)

D

46.

A zookeeper created the following stem-and-leaf plot showing the number of tigers at each major zoo in the country. What is the median number of tigers found at a zoo?

a)

26

b)

25

c)

22

d)

21

47.

Alexis asked 4 of her friends how many movies they watched during the summer. Alexis determined the following measures about the number of movies watched by her 4 friends.

Mean: 20

Median: 20

Range: 8


The 3 friends who watched the most movies over the summer watched 19, 21, and 24 movies. How many movies were watched by the fourth friend?

a)

16

b)

21

c)

20

d)

25

48.

What is wrong with the graph above?

a)

It should be a bar graph.

b)

The format of the title is incorrect.

c)

The x-axis is missing units.

d)

It should be a pie chart.

49.

Which statement is best supported by the graph?

a)

The percentage of male daily smokers increased the most between 1976 and 1980.

b)

Between 1977 and 1989, a greater percentage of daily smokers were female than male.

c)

The percentage of female daily smokers decreased every year from 1976 to 1991.

d)

Between 1984 and 1991, the percentage of male daily smokers decreased.

50.

Which one of the following questions cannot be determined from the graph?

a)

The percentage of female smokers between 1976 and 1978.

b)

The gender of the groups in the survey.

c)

Percentages of male smokers between 1975 and 1991.

d)

The actual number of female smokers for any given year.

51.
What is happening in the graph between 30 and 40 minutes?
a)
Sarah is accelerating
b)
Sarah is not moving
c)
Sarah is slowing down
d)
Sarah is travelling at a constant speed
52.
What is the name of the vertical (up and down) axis of the graph? 
a)
X axis
b)
Y axis
53.
What is the name of the horizontal (side to side) axis of the graph? 
a)
X axis
b)
Y axis
54.
What would be the best scale for this data?
Days
      Cm
  1            1.0
  2            3.5
  3            5.0
  4            8.5
a)
count by fives to 10
b)
count by tens to 100
c)
count by ones to 5
d)
count by ones to 10
55.

What kind of information might go on the X axis?

a)

Independent Variable

b)

Dependent Varaible

56.

How many more people own cats than dogs?

a)

11

b)

3

c)

8

d)

5

57.

A line graph allows you to easily see:

a)
information about the parts related to the whole.
b)
the total number of each category.
c)
how much data occurs within a range of numbers.
d)
Changes or trends over time.
58.
How many students have 0 Brothers and Sisters? 
a)
6 students
b)
0 students
c)
12 students
d)
10 students
59.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
60.
What is the minimum value?
a)
64
b)
58
c)
66
d)
61
61.
The graph shows the results of a survey in which students were asked to name their favorite season. How many students were surveyed in all?
a)
26
b)
27
c)
16
d)
18
62.
The graph shows the results of a survey about students' favorite seasons.
How many more students preferred winter than spring?
a)
10
b)
8
c)
6
d)
2
63.
The graph shows the number of members in four student clubs. How many more students are in the ski club than the chess club?
a)
3
b)
4
c)
5
d)
6
64.
How many students had more than 6 candy bars?
a)
5
b)
2
c)
3
d)
1
65.

The bar graph shows the number of hamburgers sold at Bob’s Burger Shack. On which days were more than 80 hamburgers sold?

a)

Wednesday and Friday

b)

Tuesday and Thursday

c)

Monday, Tuesday, and Thursday

d)

Tuesday, Wednesday, Thursday, and Friday

66.

How many people were surveyed?

a)

4

b)

10

c)

15

d)

5

67.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
68.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
69.

What percent of students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

70.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same