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Measures of Center and Spread

Total questions: 74

Worksheet time: 1hrs 29mins

Name
Class
Date
1.
In a frequency distribution, the class width is the distance between the lower and upper limits of a class. 
a)
True
b)
False
2.
Given the data set below.  What is the mode?
24  27  19  21  18  23  21  20  19  33  30  29
a)
19
b)
21
c)
19, 21
d)
23, 33
3.
The ________ of a data set is the sum of the data entries divided by the number of entries.
a)
Mean
b)
Median
c)
Mode
d)
Range
4.
You are taking a class in which your grade is determined from five sources: 50% from your test mean, 15% from your midterm, 20% from your final exam, 10% from computer lab work, and 5% from your homework. Your scores are 86 (test mean), 96 (midterm), 82 (final exam), 98 (computer lab), and 100 (homework).  What is the weighted mean?
a)
90.2
b)
89.7
c)
88.6
d)
87.87
5.
The cost of five homes in a certain area is given.
$147,000
$155,000
$175,000
$145,000
$1,225,000
Which measure of central tendency should be used?
a)
Mean
b)
Median
c)
Mode
d)
Midrange
6.

Given the following statistics about scores on the last math test, what is the best description of the shape of the distribution?

Mean: = 78

Standard Deviation = 4

Min = 64

Median = 78

Q1 = 72

Q3 = 84

Max = 99

a)

Skewed Right

b)

Skewed Left

c)

Roughly Symmetric

d)

Uniform

7.
A statistician has computed some data on the ages of people when they have their first child. The data showed the ages to be skewed right. Which of the following is the best way to describe the central tendency (typical value)?
a)
Mean
b)
Median
c)
Mode
d)
Midrange
8.

For the stem-and-leaf plot above, what is the maximum and what is the minimum entry?

a)

Max: 17.0; Min: 11.6

b)

Max: 170; Min: 116

c)

Max: 17.3; Min: 11.6

d)

Max: 17.3; Min: 11.7

9.

Which of the following is a measure of central tendency?

a)

Range

b)

Mean

c)

Standard deviation

10.

Which of these measures of central tendency refers to the most common value?

a)

Mean

b)

Mode

c)

Median

11.

Which of these measures of central tendency is distorted by extreme values?

a)

Mean

b)

Mode

c)

Median

12.

Which of these is the only measure of central tendency that can be used with nominal data?

a)

Mean

b)

Mode

c)

Median

13.

Which of these is the difference between the highest and lowest values in a data set?

a)

Median

b)

Standard deviation

c)

Range

14.

What does the standard deviation tell us about the data set?

a)

How high or low the values are

b)

The average

c)

How spread apart the values are from the mean

15.

If the standard deviation of a data set was 0, this would mean all the values were exactly the same.

a)

True

b)

False

16.

The standard deviation is a more precise measure of dispersion than the range.

a)

True

b)

False

17.

33, 25, 42, 25, 31, 37, 46, 29, 38

What is the Q3 of the data?

a)

37

b)

38

c)

42

d)

46

18.
How many students got a perfect score on the test?
a)
0
b)
2
c)
6
d)
1
19.
If you score 76, 85, 97, and 83 on your math tests, what would your median score be? 
a)
84
b)
90
c)
85
d)
88
20.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
21.
Find the Median
a)
98
b)
93
c)
78
d)
85
22.
Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
Yes, 16 is an outlier.
b)
Yes, 33 is an outlier.
c)
Yes, 98 is an outlier.
d)
There are no numbers less than 39 or greater than 124, therefore there are no outliers.
23.
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
24.
a)

the mean is to the left of the median, and the spread is approximately 315.

b)

the data is bimodal, and the mean and median are approximately equal, and the spread is approximately 158.

c)

the mean is to the right of the median, and the spread is approximately 315.

d)

the mean and median are approximately equal, and the spread is approximately 158.

25.

Which of the following measures of central tendency is not appropriate when you have extreme scores in your sample data

a)

Mode

b)

Median

c)

Mean

d)

None of the above

26.

For the data presented here what are the mean, median and mode? 15, 17, 19, 15, 13, 14, 10, 21, 18, 19, 19

a)

17, 19, 18

b)

16.36, 17, 19

c)

10, 17, 21

d)

17, 18, 19

27.

What is the relationship between the variance and standard deviation?

a)

The variance = standard deviation squared

b)

The standard deviation = the variance squared

c)

The variance = the standard deviation multiplied by the mean

d)

There is no straightforward relationship between the variance and

standard deviation

28.

For the data given here what is the range: 15, 17, 19, 15, 13, 14, 10, 21, 18, 19, 19

a)

21

b)

10

c)

19

d)

11

29.
Numbers representing counts or measurements 
a)
Qualitative Data
b)
Quantitative Data
c)
A Statistic
d)
Population parameter
30.
Techniques used to make conclusions about a large group based on an observation of a small part of the group.
a)
Statistics
b)
Descriptive Statistics
c)
Inferential Methods
d)
Population parameter
31.
Group of objects about which conclusions can be drawn.
a)
Population
b)
Sample
c)
Population parameter
d)
A Statistic
32.
Categories are based on some nonnumerical characteristics
a)
Qualitative Data
b)
Quantitative Data
c)
Descriptive Statistics
d)
Inferential Methods
33.
Portion of objects drawn from the population
a)
Statistics
b)
Population parameter
c)
Descriptive Statistics
d)
Sample
34.
Planning experiments and obtaining data in order to analyze and present conclusions.
a)
Descriptive Statistics
b)
Inferential Methods
c)
Statistics
d)
Population parameter
35.
A value that describes some aspect of the entire population
a)
A Statistic
b)
Population parameter
c)
Quantitative Data
d)
Statistics
36.
If there are 300 seventh graders, how many students prefer choir?
a)
96
b)
24
c)
75
d)
42
37.
How many games did the team play?
a)
15
b)
12
c)
24
d)
14
38.
In how many games did the team score more than 20 points?
a)
8
b)
7
c)
10
d)
9
39.
A data set can have more than one mode
a)
True
b)
False
40.
What is an outlier?
a)
A value that is much less or much greater than the other values in a data set.
b)
The difference between the upper and lower quartiles of a data set.
c)
The mean of the distances from each data value in a set to the mean of a set.
d)
The difference between the greatest and least numbers in a data set.
41.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

42.
3. You must find the 5 number summary in order to make a box and whisker plot. 
a)
True
b)
False
43.
4. Which of the following lists all parts of the five number summary?
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
44.

It is predicted that the average number of automobiles each household owns will increase next year.

a)

Inferential

b)

Descriptive

45.

Last year's total attendance at Long Run High School's football games was 8,235 people.

a)

Inferential

b)

Descriptive

46.

Which is the symbol for sample mean?

a)

x̄

b)

μ

c)

n

d)

Σ

47.

Which is the symbol for population mean?

a)

x̄

b)

μ

c)

n

d)

Σ

48.

State the type of correlation.

a)

No correlation

b)

weak positive

c)

weak negative

d)

strong positive

49.

State the type of correlation.

a)

Strong negative

b)

Strong positive

c)

Weak negative

d)

Weak positive

50.
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
a)
1084 to 1216 pounds 
b)
1106 to 1150 pounds 
c)
1106 to 1194 pounds 
d)
1128 to 1172 pounds
51.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
a)
68%
b)
99.7%
c)
95%
d)
84%
52.

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3?

a)

9 to 21

b)

12 to 18

c)

6 to 24

d)

13 to 16

53.
Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
54.
The two types of statistics are...
a)
Qualitative and Quantitative
b)
Inferential and Descriptive
c)
Levels of Measurement
d)
Population and Sample
55.
If I tell you that you scored at the 55th percentile on your final exam, you would know:
a)
55% of the class scored as good or worse than I did 
b)
I earned a 55% on the exam
c)
I failed the exam
d)
45% of the class scored worse than I did 
56.
The 75th percentile is also know as the
a)
median
b)
third quartile
c)
1st quartile`
d)
interquartile range
57.
What is the 50th percentile of the following student heights:  60 in, 75 in, 70 in, 58 in, 62 in
a)
58
b)
70
c)
75
d)
62
58.
What percentage of the data is between 40 and 150?
a)
25 %
b)
50%
c)
75%
d)
100%
59.
Describe the shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
60.
A data set can have more than one median?
a)
True
b)
False
61.

What type of sampling? A journalist asks his family how they feel about water pollution.

a)

Simple Random sample

b)

Convenience sample

c)

Stratified Random sample

d)

Census

62.

What type of sampling? Twenty-five students are randomly selected from each grade level at a high school and surveyed about their study habits.

a)

Simple Random sample

b)

Convenience sample

c)

Stratified Random sample

d)

Census

63.

What type of sampling? Law enforcement officials use a radar gun to measure the speed of every 5th vehicle on an interstate.

a)

Simple Random sample

b)

Convenience sample

c)

Stratified Random sample

d)

Systematic Random Sample

64.
Units of the population are grouped; one or more groups are selected at random.  All units of that group are included in the sample.
a)
cluster sample
b)
simple random
c)
stratified
d)
proportional
65.

If every individual in a population has the same chance of being included in a sample, the sample is a(n) _________ sample.

a)

Biased Sample

b)

Convenience Sample

c)

Simple Random Sample

d)

Stratified Sample

66.

An amateur gardener decides to change varieties of tomatoes for this year to see if the yield is improved. He puts 6 of the old type of tomato plants and 6 of the new tomato plants in his garden. The average yield for the old plants was 11.3 pounds and the average for the new plants was 14.5 pounds. This is an example of

a)

an experiment

b)

an observational study

67.
A study is conducted to investigate the relationship between owning pets and happiness. 100 subjects are randomly selected and data on whether or not a pet is owned and a happiness score (1‐10, 10 being extremely happy) are obtained.
Is this an OBSERVATIONAL or EXPERIMENTAL study?
a)
Observational
b)
Experimental
68.
A doctor is conducting a study on a new drug in which some patients receive the experimental drug and others receive a sugar pill.  None of the patients know which pill they received.  Some of the patients who received the sugar pill reported that the drug was working.  This is an example of what phenomenon?
a)
Placebo Effect
b)
Margin of Error
c)
Outlier
d)
Randomization
69.
Number of slices on a pizza.
a)
Discrete
b)
Continuous
70.
Indicate which level of measurement is being used in the given scenario. 
The teacher of a class of third graders records the percentage that each student got correct on the last science test.
a)
nominal
b)
ordinal
c)
interval
d)
ratio
71.
Indicate which level of measurement is being used in the given scenario. 
The teacher of a class of third graders records the letter grade for mathematics for each student.
a)
nominal
b)
ordinal
c)
interval
d)
ratio
72.
Indicate which level of measurement is being used in the given scenario. 
The roster of a basketball team lists the jersey numbers for each of the players. 
a)
nominal
b)
ordinal
c)
interval
d)
ratio
73.
Indicate which level of measurement is being used in the given scenario. 
A meteorologist compiles a list of temperatures in degrees Celsius for the month of May.
a)
nominal
b)
ordinal
c)
interval
d)
ratio
74.
Numbers representing counts or measurements 
a)
Qualitative Data
b)
Quantitative Data
c)
A Statistic
d)
Population parameter

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