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Statistical Questions and Mean, Median, Mode

Total questions: 76

Worksheet time: 4hrs 7mins

Name
Class
Date
1.

What is the range?

a)

The sum of the largest and smallest number

b)

The number in the middle

c)

The difference between the largest and smallest number

d)

The number that appears most often

2.

What is the median?

a)

The number in the middle when the numbers are in order from least to greatest.

b)

The difference between the largest and smallest number.

c)

The average

d)

The number that appears most often.

3.
What is the mode?
a)
The average
b)
The number that appears most often.
c)
The largest number - the smallest number
d)
The number in the middle.
4.
To find the average of a set of numbers, add up all the items and divide by...
a)
2.
b)
The smallest number
c)
The largest number
d)
The number of items in the set.
5.
A data set can have more than one mode
a)
True
b)
False
6.
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 of the numbers as the Median.
b)
Add the two numbers together and divide by 2.
c)
Pick the one that you want.
d)
Subtract the two numbers.
7.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
8.

The number of miles that Jenna cycled each week for a 7-week period is shown:

36, 42, 28, 52, 48, 36, 31

What is the median number of miles Jenna cycled?

a)

24

b)

39

c)

36

d)

52

9.

Dr. Dre is a dentist. He needs to report on the average (Mean) number of cavities that his patients have.

1, 0, 1, 5, 0, 3, 4. What is the average number of cavities?

a)

14

b)

2

c)

7

d)

1

10.

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)

10

b)

12

c)

10 and 12

d)

No Mode

11.

The heights of some students are given.

158cm 172cm 164cm

164cm 167cm 159cm

What is the RANGE of the heights?

a)

13 cm

b)

330 cm

c)

164 cm

d)

14 cm

12.

What is the MEDIAN of this set of data?

10, 90, 80, 60, 50, 40, 70, 30, 20, 100

a)

50

b)

60

c)

55

d)

45

13.

The heights of 4 different people are: 1.55m, 1.52m, 1.81m, and 1.91m. The range of these heights is:

a)

0.39m

b)

0.21m

c)

0.27m

d)

0.16m

14.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
15.
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
16.
To find the average of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
17.
If a data set is bimodal, how many modes does it have?
a)
1
b)
2
c)
3
d)
4
18.
The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?
a)
210
b)
207
c)
220
d)
200
19.
The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?
a)
210
b)
207
c)
220
d)
200
20.
Find the mean of the countries' research and development spending.
a)
21.86 billion
b)
218.6 billion
c)
3.5 billion
d)
79.1 billion
21.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5
22.
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
23.
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99.What was the average score for these students? _________
a)
91
b)
273
24.
Mary read six books in January, four books in February, and eight books in March.What was the average number of books read each month? __________
a)
18
b)
6
c)
14
25.
When finding the median, what do you do if there are two middle numbers?
a)
Add them together and divide by 2
b)
Write them both as the answer
c)
Give up
d)
Pick one
26.
The number of miles that Kiki cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Kiki cycled?
a)
24
b)
36
c)
39
d)
52
27.
The cost of four cell phones are $345, $400, $110, and $640.
What is the median cost
a)
$330
b)
$390
c)
$372.50
d)
$375
28.
The cost of four cell phones are $345, $400, $110, and $640.
What is the median cost
a)
$330
b)
$390
c)
$372.50
d)
$375
29.

Christian has six grades from tests and IXL. They are all weighted equally. If Christian's grades are 100, 96, 96, 88, 70, and 100, what is the current average grade? (Round to the nearest whole number)

a)

90

b)

91

c)

92

d)

93

30.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
99 was the highest score on the test.
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 average.
31.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
32.
What is the range?
8, 10, 60, 3, 5, 13, 12, 40, 8
a)
55
b)
8
c)
57
d)
17.7
33.

This is the interval between two consecutive upper (or lower) class limits.

a)

class width

b)

class boundaries

c)

midpoints

d)

frequency

34.

These are used as the border between two consecutive bars in a histogram. They are the intermediate value between an upper class limit and the next lower class limit.

a)

class limits

b)

class boundaries

c)

frequencies

d)

class marks

35.

Find the relative frequencies

a)

37%, 76%, 92%, 95%, 98%, 100%

b)

28%, 30%, 12%, 2%, 2%, 2%

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

37%, 39%, 16%, 3%, 3%, 3%

36.

Find the cumulative frequencies.

a)

28, 56, 84, 100

b)

28, 58, 70, 72, 74, 76

c)

33%, 37%, 20%, 7%, 7%, 7%

d)

28, 30, 12, 2, 2, 2

37.

Look at the frequency distribution. Find the class boundaries.

a)

21, 31, 41, 51, 61, 70, 80

b)

25.5, 35.5, 45.5, 55.5, 65.5, 75.5

c)

20.5, 30.5, 40.5, 50.5, 60.5, 70.5

d)

30, 40, 50, 60, 70, 80

38.

Complete the definition:

a)

class boundaries

b)

lower class limits

c)

upper lass limits

d)

midpoints

39.

Which of the following is the correct formula to find class width?

a)

(max-min)/(# of classes), round up to the next integer

b)

(max-min)/2, round up to the next integer

c)

(max-min)/(# of classes), round normally

d)

(max+min)/2, round normally

e)

(max-min)/(number of data), round up to the next integer

40.
What is the formula for relative frequency?
a)
f*N
b)
f-N
c)
f/N
d)
(f+x)/N
41.
A type of bar graph used to display numerical data that has been organized into equal intervals.
a)
Line Plot
b)
Interval
c)
Frequency Table
d)
Histogram
42.
According to the portion of the frequency table given, how many people have an MBA?
a)
9
b)
60
c)
20
d)
not enough information
43.
A table that shows classes or intervals of data entries with a count of the number of entries in each class. 
a)
Frequency distribution
b)
Frequency polygon
c)
Histogram
d)
Ogive
44.

Rhaul measured the heights of the apple trees in an orchard. What percent of the trees are 5-9 feet tall?

a)

19%

b)

31%

c)

22%

d)

10%

45.

Which of these data displays has one anchor to the x-axis?

a)

Frequency Polygon

b)

Histogram

c)

Ogive

d)

Time Series Graph

46.

Which of these data displays has one anchor to the x-axis?

a)

Frequency Polygon

b)

Histogram

c)

Ogive

d)

Time Series Graph

47.
Which Greek letter is the symbol for "the sum of"?
a)
Sigma
b)
Iota
c)
Rho
d)
Theta
48.

Which of the following is a true statement about Frequency Polygons?

a)

They have two anchors to the horizontal axis

b)

They have one anchor to the horizontal axis

c)

The vertical axis is cumulative frequency

d)

The horizontal axis is class endpoints

49.

What type of distribution is this showing?

a)

Positive Skew

b)

Normal Distribution of data

c)

Negative skew

50.

What type of distribution of data is this showing?

a)

Negative

b)

Normal

c)

Positive

d)

Equilateral

51.

What type of distribution is this?

a)

Positive skew

b)

Negative Skew

c)

Normal distribution of data

52.

What kind of distribution of data would the following lead to?

Mode = 16, Median =12 Mean = 8

a)

Positive

b)

Negative

c)

Normal

53.

What kind of distribution of data would the following lead to?

Mode = 4 Median = 6 Mean = 10

a)

Positive

b)

Negative

c)

Normal

54.

What goes on the side axis when sketching a distribution of data?

a)

Frequency

b)

Scores

c)

Number

55.
Nicole bowled 7 games last weekend. Her scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Nicole's scores?
a)
193
b)
127
c)
60
d)
66
56.
The median is equivalent to...
a)
the middle quartile (Q2)
b)
the fifth decile (D5)
c)
the 50th percentile (P50)
d)
all of these
57.

Jenny scored at the 99th percentile on a test. How should we interpret this information?

a)

Jenny scored better than 99% of people who took this test

b)

Jenny scored worse than 99% of people who took this test

c)

Jenny got 99% of the questions on the test right

d)

Jenny got 99% of questions on the test wrong

58.
What measures of position divides the distribution into 100 equal parts?
a)
quartiles
b)
deciles
c)
percentiles
d)
range
59.

How many percent corresponds to P25 if you will interpret it?

a)

10%

b)

25%

c)

50%

d)

60%

60.
the difference between the upper and lower quartiles
a)
interquartile range
b)
median
c)
mode
d)
mean
61.
Which data set has the largest IQR?
a)
20, 21, 22, 24, 25, 27
b)
13, 14, 19, 33, 38, 42
c)
53, 54, 55, 62, 67, 72, 75
62.
What is the class interval?
a)
The gap between the scores
b)
The value range used to group data
c)
The highest number minus the lowest
d)
None of the above
63.
You can find the ________________ by taking the square root of the variance.
a)
standard deviation
b)
cubed root
c)
range
d)
range rule of thumb
64.

Find the median, first quartile, third quartile, and interquartile range of the data.

23, 33, 25, 16, 27, 43, 29, 40, 35

a)

Median: 29

First Quartile: 24

Third Quartile: 37.5

IQR: 13.5

b)

Median: 27

First Quartile: 25

Third Quartile: 35

IQR: 10

c)

Median: 29

First Quartile: 25

Third Quartile: 37.5

IQR: 12.5

d)

Median: 27

First Quartile: 24

Third Quartile: 35

IQR: 11

65.
Find x if 5, 9, 11, 12, 13, 14, 17 and x have a mean of 12.
a)
15
b)
16
c)
17
d)
18
66.
A sample of 10 measurements has a mean of 15.7 and a sample of 20 measurements has a mean of 14.3. Find the mean of all 30 measurements.
a)
16.3
b)
14.8
c)
17.1
d)
21.4
67.
A basketball team scored
43, 55, 41 and 37
points in their first four matches.
Determine the mean number of points scored for the first four matches and hence calculate What score will the team need to shoot in the next match so that they maintain the same mean score?
a)
52
b)
44
c)
35
d)
27
68.
The mean of eight numbers is 41. The mean of two of the numbers is 29 What is the mean of the other six numbers? 
a)
34
b)
55
c)
45
d)
72
69.

Consider Shees’s scores on math quizzes this term: 80, 80, 88, 90, 93.

Find the score needed on the next quiz to bring her average up to 88.

a)

97

b)

100

c)

200

d)

200

70.
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000.  What is the best measure of the central tendency of the salaries?
a)
Mean
b)
Median
c)
Mode
d)
Range
71.
The heights of the starting 5 players on a basketball team are 60 inches, 67 inches, 64 inches, and 65 inches.  If the mean or balance point of the players is 65, what is the height of the 5th player?
a)
70
b)
69
c)
61
d)
68
72.
Harley surveyed his classmates about how many siblings they have and got the following data: 0, 1, 3, 5, 4, 2, 2, 9, 1, 2, 0, 1, 1, 1, 1, 3  Which  measure is best measure of center of the data?
a)
Mean
b)
Median
c)
Mode
d)
Range
73.
What measure of central tendency (mean, median or mode) would be best for the following set of data?
0, 89, 92, 97, 99, 100
a)
Mode, because it is the one that shows up the most.
b)
Median, because there is an outlier.  The outlier could be incorrect and would influence the mean too much.
c)
Mean, because there is not an outlier.  You should always use the mean.
d)
There is not a best measure of central tendency for this data.
74.
In the last 5 games, Kevin Durant scored 22, 22, 18, 12, and 21 points. What is Durant's Mean (Average) score per game?
a)
 19 points per game
b)
95 points per game
c)
18.6 points per game
d)
22 points per game
75.
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
76.

Shees-Bin-Sajid took a sample of 50 pieces of data. She added up all of the pieces of data and then divided by 50. What measure of center is she working on?

a)

mean

b)

mode

c)

median

d)

harmonic mean

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