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1118-1921 StatisticsTest

Total questions: 78

Worksheet time: 3hrs 50mins

Name
Class
Date
1.

Given the date below, what is the value of N?

a)

30

b)

40

c)

50

d)

60

2.

What is the class interval of the data on the table?

a)

2

b)

3

c)

4

d)

5

3.
What does "mean" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
4.

Find the mean.

a)

10

b)

20

c)

30

d)

40

5.

What is the value of N?

a)

80

b)

81

c)

85

d)

90

6.

What is the second step in identifying grouped mean?

a)

Find the sum of the resulting column in preceding step.

b)

Multiply the frequency by the midpoint for each class. Place them in another column.

c)

Divide the sum obtained in preceding step by the total number of frequencies.

d)

Find the midpoint for each class (class mark). Place them in a column.

7.

What is the total number of frequency?

a)

25

b)

80

c)

6

d)

79

8.

For this grouped data, what is the mean?

a)

20

b)

25

c)

27

d)

30

9.

Find the mean.

a)

10

b)

20

c)

30

d)

40

10.

For this table of data, what how many values were in the class interval 30-40?

a)

35

b)

140

c)

4

d)

10

11.

The score or value where all the other values in a distribution tend to cluster.

a)

Measure of position

b)

Central Tendency

c)

Mean

d)

Median

12.

What is the modal class of this distribution?

a)

20-29

b)

30-39

c)

40-49

d)

50-59

13.

What is the class size of the grouped data ?

a)

10

b)

4

c)

15

d)

5

14.

The value of X in the table is

a)

32

b)

70

c)

35

d)

38

15.

The data presented in the table have a mean value of:

a)

172

b)

161

c)

157

d)

184

16.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

17.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
18.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4403

b)

$4673

c)

$8483

d)

$6443

19.
The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.
a)
y = 839.721x + 27541.812
b)
y = 27541.812x - 839.721
c)
y = 27541.812x + 839.721
d)
y = 839.721x - 27541.812
20.
What letter do we use to represent correlation coefficient?
a)
c
b)
r
c)
p
d)
h
21.
What is a best-fit line used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
22.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

23.
Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.
a)
-18x2 + 2.11x + 4.21
b)
-.06x2 +1.06x + 7.9
c)
-6x2 +1.06x + 79
d)
-.12x2 + 2.11x + 4.22
24.
Find the height of the ball when it traveled a distance of 10 feet.
a)
12.8 ft
b)
13.3 ft
c)
11.1 ft
d)
17 ft
25.
Find the best fitting quadratic model for the data given.
a)
1.2x2 + 13x + 504.3
b)
12x2 + 13x + 504.3
c)
.12x2 + 1.3x + 504.3
26.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
27.
The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
28.
Write the exponential regression equation for this data.
a)
Y = 8.16(2.7)X
b)
Y = 81.6(2.7)X
c)
Y = 8.16(.27)X
d)
Y = 8.16(27)X
29.
Which of the following could be a possible line of best fit for the data?
a)
y = -5/2x + 20
b)
y = -x + 19
c)
y = x + 20
d)
y = 2/3x + 15 
30.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
31.

What type of correlation best describes the scatterplot shown.

a)

positive, weak

b)

positive, strong

c)

negative, weak

d)

no correlation

32.

What type of correlation best describes the scatter plot shown?

a)

positive, weak

b)

positive, strong

c)

negative, weak

d)

negative, strong

33.

What correlation coefficient would be describe the correlation?

a)

0

b)

-0.999

c)

0.978

d)

0.2

34.
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
35.
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
36.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
37.

What is the first step to take when attempting to find IQR?

a)

Find the lower and upper quartile.

b)

Find the median.

c)

Put the list of numbers in order.

d)

Subtract the lower and upper quartile.

38.
Find the interquartile range using the following.
Minimum:  1
Q1:  3
Median:  5
Q3:  7
Maximum:  9
a)
8
b)
4
c)
5
d)
10
39.
a)

5

b)

7

c)

23

d)

16

40.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

41.
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
42.

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

a)

293.67

b)

15.87

c)

17.14

d)

41.98

43.
What is the median of:
6, 12, 16, 11, 8, 4, 1, 11, 4
a)
11
b)
6
c)
8
d)
7
44.
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
45.

A survey was taken to find out how many times per year children saw a doctor. The results are shown in the table. What was the mean number of doctor visits per year?

a)

3

b)

3.25

c)

3.5

d)

3.75

46.

Find the mean for the following frequency distribution:

Class limits______________frequency

1 - 6_____________________ 2

7 -12 _____________________8

13- 18 _____________________14

19 - 24 _____________---_____10

a)

22.5

b)

18.4

c)

15.1

d)

13.2

47.
Describe the data distribution shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
48.
What is the shape of the distribution?
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
49.
Find the mean.
a)
8
b)
10
c)
7
d)
9
50.
If 10 is added to every value in a set of data, what will happen to the value of the median?
a)
it will increase by 10
b)
it will decrease by 10
c)
it will stay the same
d)
it will both increase and decrease
51.

What is a requirement of a statistical question?

a)

one set answer

b)

a collection of answers

52.

What is a requirement of a NON-statistical question?

a)

one set answer

b)

a collection of answers

53.

Is the following question statistical or non statistical?

How many cars are in the NJH parking lot today?

a)

Statistical

b)

Non Statistical

54.

Is the following question statistical or non statistical?

How many siblings does each student in our class have?

a)

Statistical

b)

Non Statistical

55.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
56.
_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
57.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
58.
Amina wanted to know what 6B's favourite food was so she asked everybody in 6B.
a)
Census
b)
Sample
59.
Mata wanted to know what the favourite movie was in all of grade 6, so he asked everybody in 6B.
a)
Sample
b)
Census
60.

Blood type

a)

Categorical

b)

Quantitative

61.

Waiting time in a waiting room

a)

Categorical

b)

Quantitative

62.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Above is a two-way table of the responses by gender.


What is the percent of females among the respondents ?

a)

about 46%.

b)

about 54%.

c)

2625

d)

4877

63.
What's your favorite subject in school?
a)
Categorical
b)
Quantitative
64.
How many states have you visited in your lifetime?
a)
Categorical
b)
Quantitative
65.
How do you calculate a residual?
a)
Observed - Predicted
b)
Predicted - Observed
66.
Residuals are . . . 
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
67.
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
a)
YES
b)
NO
68.
Estimate the correlation coefficient.
a)
r = -0.8
b)
r = -0.5
c)
r = 0.5
d)
r = 0.8
69.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
70.
In a scatterplot r is called
a)
Coefficient of Determination
b)
Correlation coefficient
c)
Regression Line
d)
Slope
71.
A scatter plot and residual plot are the same thing.
a)
True
b)
False
72.
LSRL stands for
a)
Least Sum Regression Line
b)
Least Squares Regression Line
c)
Lower Standard Regression Line
d)
Line Scatterplot Regression Line
73.
The Coefficient of Determination is 
a)
r squared
b)
r 
c)
r times the standard deviation of y over the standard deviation of x
d)
a + bx
74.

Describe the correlation.

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

Constant correlation

75.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
76.
The coefficient of determination tells us: 
a)
The correlation and all the things that go with it. 
b)
The answer to the question being asked.
c)
The percentage of data that is on the line of best fit.
d)
The equation to the line of best fit.
77.

If the coefficient of determination is 0.876, what percent of the variation is explained?

a)

56%

b)

88%

c)

-67%

d)

92%

78.

If the coefficient of determination is 0.876, what percent of the variation is unexplained?

a)

56%

b)

88%

c)

12%

d)

92%

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