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Interpreting histograms

Total questions: 70

Worksheet time: 2hrs 51mins

Name
Class
Date
1.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
2.
About how many students from BOTH grades earned $600 or more?
a)
9
b)
16
c)
17
d)
24
3.
What is the total number of parks?
a)
46
b)
16
c)
48
d)
52
4.
How many cities have a monthly temperature of less than 80 degrees?
a)
22
b)
38
c)
26
d)
28
5.
21. How many students are represented by the histogram?  
a)
Cannot be determined
b)
9
c)
31
d)
35
6.
How many parks have more than 40 trees?
a)
26
b)
31
c)
17
d)
22
7.
How many people watched more than 25 hours of TV last week?
a)
0
b)
10
c)
38
d)
42
8.
What was the exact price most people payed for a gallon of gas?
a)
$2.10
b)
$1.95
c)
$2.03
d)
We can not tell using the histogram
9.
What is incorrect about the following histogram?
a)
The intervals are too small
b)
The intervals overlap
c)
The graph does not start at 0
d)
The axes are not labeled.
10.
What percent of students have less than 1,000 songs on their MP3 players?
a)
15%
b)
80%
c)
20%
d)
45%
11.
What is an interval?
a)
A single number
b)
A range of numbers
c)
A percentage
d)
A total amount
12.

This histogram is _____________.

a)

Cylindrical

b)

Acylindrical

c)

Symmetrical

d)

Asymmetrical

13.
Describe the histogram:
a)
Left Skewed
b)
Symmetrical
c)
Right Skewed
d)
Uniform
14.
1. Which of the following best describes the process of finding the range for a set of data?
a)
ADD the biggest and smallest numbers
b)
Place the number in order from least to greatest then find the middle.
c)
Find the difference between the Maximum and the Minimum.
d)
Find the average.
15.
22. Describe the distribution of the data in the histogram and explain what it means in terms of the problem situation.
a)
Skewed Left; the majority of the data values are on the right.
b)
Skewed Right; the majority of the data values are on the right.
c)
Skewed Right; the majority of the data values are on the left.
d)
Symmetric; because a majority of the values are in the middle while the remaining values are spread out approximately evenly on both sides of the middle. 
16.

Here are three statements about the number of hours students in two classes studied.


I. The range of the number of hours studied for math is greater than the number of hours studied for science.


II. The distribution of the data is approximately symmetrical in both sets of data.


III. The mode of the number of hours studied for science is less than the mode of hours studied for math.


Which of these three statements appear to be true?

a)

I and III

b)

I only

c)

II and III

d)

III only

17.
What is a the meaning for "median"?
a)
fair share
b)
middle
c)
repeats the most
d)
variation
18.
What does "mode" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
19.
What does "mean" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
20.
How do you find the mean?
a)
order least to greatest, then slash from each side until you reach the middle
b)
add the numbers in your data set, then divide by the amount you added
c)
look for the number that repeats the most
d)
highest number minus the lowest number
21.
How do you find the median?
a)
order least to greatest, then slash from each side until you reach the middle
b)
add the numbers in your data set, then divide by the amount you added
c)
look for the number that repeats the most
d)
highest number minus the lowest number
22.
How do you find the mode?
a)
order least to greatest, then slash from each side until you reach the middle
b)
add the numbers in your data set, then divide by the amount you added
c)
look for the number that repeats the most
d)
highest number minus the lowest number
23.
The range of the data being shown is;
a)
5 degrees F
b)
12 months
c)
60 degrees F
d)
65 degrees F
24.

This data is

a)

symmetrical

b)

skewed right

c)

skewed left

25.
Shape?
a)
Skewed right
b)
Skewed left
c)
Symmetric
d)
Unimodal
26.
A data set can have more than one median?
a)
True
b)
False
27.

What is the shape of this bar graph?

a)

Skew right

b)

Skew left

c)

Symmetrical

d)

uniform

28.

When the median is more than the mean this results in a negative (left) skew

a)

true

b)

false

29.

mean = median

a)

skewed left

b)

skewed right

c)

symmetrical

30.

the mean is less than the median

a)

skewed left

b)

skewed right

c)

symmetrical

31.

Describe the shape of the data.

a)

symmetrical

b)

skewed left

c)

skewed right

32.

Where is the peak/mode of the data?

a)

0 - 499

b)

1000 - 1499

c)

2000 - 2499

d)

2500 - 2999

33.

A way to describe the shape of a data display that indicates most of the data is on one side of the display.

a)

Symmetric

b)

Unimodal

c)

Skewed

d)

Uniform

34.

A graph is ______________when most of the data points are clustered near high values.

a)

skewed left

b)

skewed right

c)

symmetrical

d)

peak

35.
A ___________forms when many data points are at one value.
a)
peak
b)
outlier
c)
symmetricial
d)
skewed right
36.

An outlier is a data point _____________from the other data points. It doesn't quite fit the rest of the data points.

a)

closes to

b)

far away

c)

below

d)

above

37.
A graph is ______________when most of the data points are clustered near lower values.
a)
skewed right
b)
skewed left 
c)
symmetrical
d)
peak
38.

What shape best describes this graph?

a)

Skewed left

b)

Skewed right

c)

Symmetrical

39.
Which way is it skewed? 
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
40.
Which way is it skewed? 
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
41.
What is another word for spread?
a)
Mean
b)
Median
c)
Mode
d)
Range
42.
What is an outlier?
a)
A number that is far away from other numbers.
b)
A number that is in the middle of the data.
c)
The first data point.
d)
The last data point.
43.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
44.
Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?
a)
The low score causes the median to increase.
b)
The low score causes the median to decrease.
c)
The low score causes the mean to increase.
d)
The low score causes the mean to decrease.
45.
The data below represent the ages of several people in a class.What effect does Mr. Smith’s age have on the data set?
a)
Mr. Smith’s age increases the mode of the data.
b)
Mr. Smith’s age decreases the mean of the data.
c)
Mr. Smith’s age increases the mean of the data.
d)
Mr. Smith’s age increases the median of the data.
46.
A data set is shown below.
56, 64, 73, 59, 98, 65, 59
If the outlier is removed from the data set, which measure of central tendency will be least affected?
a)
range
b)
mode
c)
median
d)
mean
47.
A realtor wants to give a customer an idea of housing prices in a neighborhood. All the houses are priced within $20,000 of one another, except one house that is much larger and more expensive than the rest. Which measure(s) of central tendency will be most affected by the one expensive house?
a)
Mode only
b)
Mean only
c)
Both mode and mean
d)
Both mean and median
48.

Given the following data set

6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14

What is the mean of the data set without the outlier(s)?

a)

9.2

b)

9.7

c)

11.1

d)

12.4

49.

Identify the outlier for the given data?

23, 34, 27, 7, 30, 26, 28, 31, 34

a)

7

b)

23

c)

31

d)

34

50.
The table below shows the lengths of fences a company installed during a week. 
Which statement is true?
a)
The 275-foot fence caused the mean to be significantly lower than the median.
b)
The 275-foot fence caused the median to be significantly lower than the mean.
c)
The 2,250-foot fence caused the mean to be significantly greater than the median.
d)
The 2,250-foot fence caused the median to be significantly greater than the mean.
51.
Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?
a)
12
b)
72
c)
48
d)
98
52.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

53.
What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7
a)
7
b)
20
c)
7 & 14
d)
none of the above
54.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
55.
What is the range?
8, 10, 60, 3, 5, 13, 12, 40, 8
a)
55
b)
8
c)
57
d)
17.7
56.
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
a)
13
b)
12
c)
11
d)
10
57.
Find the Median of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
16
b)
98
c)
84
d)
There is no median.
58.
A data set can have more than one mode
a)
True
b)
False
59.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
60.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
94 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 94
d)
A score of 91 was slightly below average.
61.
If you have two numbers in the middle, you should
a)
add them together and divide by two
b)
find the number in between the two
c)
find the mean of the two numbers
d)
all of these
62.

In a data display, a grouping of data that is close together is a...?

a)

cluster

b)

median

c)

peak

d)

gap

63.

An indication of a data display that shows where the data is at its highest point is a...?

a)

cluster

b)

gap

c)

peak

d)

outlier

64.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
65.

What is a Gap?

a)

A space in between data points

b)

That clothing company

c)

Two close together data points

66.

What number is the peak?

a)

Less than 15

b)

50

c)

Greater than 65

d)

60

67.

Describe the gaps in the distribution.

a)

There are no gaps in the data.

b)

There is a gap at 2.7

c)

There is a gap at 2.1

68.

Describe the outliers in the distribution.

a)

There is an outlier at 2.8

b)

There is an outlier at 2.4

c)

There are no outliers.

69.

What's the difference between a Skewed Left plot and a Skewed Right plot?

a)

One has it's outliers on the left the other the right.

b)

Nothing they are the same.

c)

They are similar thing just change the outliers to a side.

d)

None of the above

70.

Describe the peak of the distribution.

a)

There is no peak of the distribution.

b)

There is a peak at 16

c)

There is a peak at 16, 18, and 20.

d)

There is a peak at 20.

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