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Boxplots, Misleading/Bias Graphs

Total questions: 45

Worksheet time: 3hrs 46mins

Name
Class
Date
1.

The graph represents the scores of four students in an examination. Tell whether the graph is misleading or not and why.

a)

No, it represents the data clearly

b)

Yes, because the vertical (y-axis) increases by 5% instead of by 1%

c)

Yes, because the vertical (y-axis) does not start at 0

2.

Do the two graphs plot the same data?

a)

Yes

b)

No

3.

The graph shows the rainfall in October and November at some location. Is the graph misleading?

a)

Yes, because the vertical (y-axis) doesn't start at 0

b)

Yes, because it makes it look like November's rainfall is twice as much as October, but it isn't

c)

Yes, because none of the other months are shown

d)

No, it's not misleading since the vertical (y-axis) zero-break

4.

Compare these two graphs. Why is the graph on the blue side misleading?

a)

The baseline is not starting at 0

b)

The scales on the y-axis are not consistent

c)

The intervals on the y-axis scale are too large.

d)

Using the wrong graph

5.

Why would this data misleading?

a)

The scale on the x-axis is not consistent

b)

The scales on the y-axis are not consistent

c)

Using the wrong graph

6.
Explain why this graph may be misleading?
a)
the x-axis does not have equal intervals
b)
San Fransisco is not a real city
c)
you cannot have percents in a line graph
d)
the y-axis does not have equal intervals
7.

This graph represents the number of different types of bird species in a zoo. Why is it misleading?

a)

broken scale

b)

values on the y axis scale are not uniform (the same)

c)

uneven spacing of values on the y axis

d)

none of the above

8.

Sort the following to the correct category ( misleading or not misleading graphs)

Categorize the following
Misleading
Not misleading
9.

Sort the graphs below as Misleading and Not Misleading

Categorize the following
Misleading
Not Misleading
10.

What is wrong with this graph?

a)

Not enough information.

b)

The basketball ticket prices in 2001 were approximately 2 times as much as 1991, yet the size of the basketballs are about 4 times as big.

c)

y axis scale is not uniform

11.
Why is this graph misleading?
a)
Graphed incorrectly
b)
Does not start at 0
c)
The break makes it seem like most players only had a few wins
d)
Not misleading
12.

7. The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?

a)
A. The students will be selected from the choir.
b)
B. The students will be selected randomly throughout the school.
13.
5.  A hospital wants to open a gym. They ask the night-shift ER staff when they would use the gym.
a)
Biased
b)
Unbiased
14.
4.  Carlos wants to know the favorite sport of people at his school so he asks his baseball team.
a)
A. Biased
b)
B. Unbiased
15.
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
a)
thirty students who are often tardy
b)
thirty students who are rarely tardy
c)
thirty of her friends
d)
thirty randomly selected students from her school
16.
A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?
a)
The sample didn't include students.
b)
The sample is too small.
c)
The sample can only be accurate if each teacher is included in the sample
17.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
18.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
19.
2. Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
20.

4. Which of the following lists all the five numbers needed to make a box plot?

a)

Mean, Median, Mode, Range, and Total

b)

Minimum, Quartile 1, Median, Quartile 3, and Maximum

c)

Smallest, Q1, Q2, Q3, and Q4

d)

Minimum, Maximum, Range, Mean, and Median

21.

In order to find the median, the very first thing you must do is to..

a)

find the difference between biggest and the smallest number.

b)

find the middle number

c)

list the numbers in order

d)

find the most repeated number

22.
What percent of students have a height between 58 inches and 60 inches?
a)
25%
b)
50%
c)
75%
d)
100%
23.
What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
24.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
25.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
26.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
27.

What is the range of homework assignments for class 2?

(a)  

28.

What is the IQR for class 1?

(a)  

29.

What do points B and D represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

30.

What amount of cupcakes makes up the middle 50% of the data?

a)

16-22 cupcakes

b)

12-32 cupcakes

c)

22-28 cupcakes

d)

16-28 cupcakes

31.

Which statement is TRUE!

a)

A

b)

B

c)

C

d)

D

32.

Which group has the greatest age?

a)

Group A

b)

Group B

c)

They're the same.

d)

You can't tell.

33.

Which club has the smaller spread?

a)

Cruisers

b)

Car Hops

c)

Neither, they are the same

34.

The box-and-whisker plots shown below represent the salaries of employees at two different

companies.

What is the difference between the median salaries of the employees at the two companies?

a)

$0

b)

$500

c)

$1000

d)

$2000

35.

The list below shows the most recent test scores for students in Mr. Garcia’s study group.

78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96

Which box-and-whisker plot correctly represents the data in the list?

a)
b)
c)
d)
36.

The mode of the data is found at which number?

a)

0

b)

10

c)

3 & 5

d)

6 & 7

37.

If 60 values were used for the data, about how many data values are greater than the 1st quartile?

a)

15

b)

30

c)

45

d)

60

38.

What percent of the data is between 30 and 35 on the number line?

a)

25%

b)

50%

c)

75%

d)

100%

39.

What percentage of the data is between 40 and 90?

a)

25 %

b)

50%

c)

75%

d)

100%

40.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

41.

The table shows the favorite activities of 200 students. What type of graph would be most appropriate to show the data as parts of a whole?

a)

Bar Graph

b)

Pie Chart

c)

Line Graph

d)

Histogram

e)

Scatterplot

42.

Identify the graph that is most appropriate to represent the amount of money spent on military over a period of time.

a)

Bar Graph

b)

Pie Chart

c)

Line Graph

d)

Histogram

e)

Scatterplot

43.

Which graph would be most appropriate to show the monthly rainfall of Virginia?

a)

Bar Graph

b)

Pie Chart

c)

Line Graph

d)

Histogram

e)

Scatterplot

44.

A _______ shows the number of values within an interval and not the actual values.

a)

Dot Plot

b)

Histogram

c)

Bar Graph

d)

Box Plot

45.

Which graph is best display of data?

a)

Bar Graph

b)

Line Graph

c)

Histogram

d)

Pie Chart