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WorksheetsStatistical Reasoning Semester 1 Review
Total questions: 65
Worksheet time: 2hrs 2mins
Name
Class
Date
1.
Which is a factorial?
a)
3!
b)
3a
c)
3?
d)
3*
2.
4!
a)
24
b)
10
c)
256
d)
4
3.
6!
a)
6
b)
46656
c)
720
d)
21
4.
6! × 4!
a)
17,280
b)
30
c)
15,625
d)
80
5.
6! ÷ 3!
a)
120
b)
720
c)
6
d)
2
6.
Determine the sum of the series written in Sigma Notation.
a)
5400
b)
2692
c)
2700
d)
2704
7.
Determine the sum of the series written in Sigma Notation.
a)
45
b)
49
c)
90
d)
47
8.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
9.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
10.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
11.
The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
a)
6
b)
7
c)
8
d)
9
12.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
13.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
median:7 mode:3 range:7
b)
median:6 mode:3 range:7
c)
median:7 mode:3 range:8
14.
To find the mean 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
15.
Find the median.
12, 5, 9, 18, 22, 25, 5
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
16.
What does this symbol represent?
a)
Mean
b)
Median
c)
Mode
d)
Standard Deviation
17.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
18.
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
19.
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
20.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
21.
Third Quartile is
a)
a measure used to describe the distribution of data.
b)
also called the upper quartile.
c)
also called the lower quartile.
d)
the sum of the numbers in a set of data divided by the number of pieces of data.
22.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
23.
find the lower quartile of the following set of scores12, 9, 4, 6, 5, 8, 9, 4, 10, 2
a)
10
b)
4
c)
9
d)
6
24.
The median of the lower half of a data set; also called the lower quartile.
a)
second quartile
b)
third quartile
c)
first quartile
d)
interquartile range
25.
First Quartile is
a)
also called the upper quartile.
b)
a value that is much higher or much lower than the other values in a set of data.
c)
also called the lower quartile.
d)
the value appearing at the center of a set of data that has been sorted in numerical order.
26.
Calculate the interquartile range of the following 20 scores
2, 3, 5, 7, 9, 11, 15, 17, 19, 20, 20, 21, 23, 30, 31, 32, 33, 35, 37, 40
a)
38
b)
20.5
c)
17
d)
21.5
27.
Calculate the interquartile range of the following data
17, 18, 18, 19, 20, 21, 21, 23, 25
a)
3
b)
4
c)
5
d)
8
28.
What is the probability of spinning a prime number?
a)
1/2
b)
2/3
c)
1/6
d)
0
29.
If P(A) = 0.032, what is P(A')?
a)
0.032
b)
1
c)
0.68
d)
0.968
30.
The six faces of a fair number cube are numbered 1 through 6. If the cube is rolled 240 times, what is the expected number of times a 4 will be rolled?
a)
100
b)
40
c)
60
d)
30
31.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
32.
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
a)
1/9
b)
2/9
c)
5/21
d)
10/21
33.
The chart below represents the number of marbles in a jar.
P(green) =
P(green) =
a)
5/19
b)
10/28
c)
5/14
34.
Determine the likelihood of the following event:
Drawing a red card from a standard deck of cards
Drawing a red card from a standard deck of cards
a)
1/2
b)
13/52
c)
1/4
d)
4/52
35.
You flip a nickel three times.
Find the probability that all flips will land on tails.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
36.
P(sum is less than 4)
a)
1/36
b)
1/12
c)
1/6
d)
1/9
37.
In how many ways can 3 different vases be arranged on a tray?
a)
3
b)
9
c)
6
d)
12
38.
Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.
There are 45 applicants for three Computer Programmer job positions.
a)
combination
b)
permutation
c)
neither
39.
Permutation, combination, or neither?
Walking into a Gamestop and picking 2 games to buy.
a)
combination
b)
permutation
c)
neither
40.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
c)
Neither
41.
25C1
a)
25
b)
50
c)
300
d)
230
42.
20P2
a)
20
b)
380
c)
6840
d)
116280
43.
7P2
a)
0
b)
7
c)
42
d)
210
44.
Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?
a)
18
b)
120
c)
36
45.
At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
46.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
47.
Which type of graph is this?
a)
Histogram
b)
Bar Graph
c)
Stem Plot
d)
Box Plot
48.
What type of graph is this?
a)
Bar graph
b)
Histogram
c)
Pie Chart
d)
Stem Chart
49.
Which type of graph is this?
a)
Box Plot
b)
Bar Graph
c)
Dot Plot
d)
Stem Plot
50.
Which can you not see immediately by looking at a stem plot?
a)
Mean
b)
Spread
c)
Outliers
d)
Skewed-ness
51.
Which type of graph is this?
a)
Dot Plot
b)
Box Plot
c)
Bar Graph
d)
Stem Plot
52.
Which type of graph is this?
a)
Bar Graph
b)
Stem Plot
c)
Box Plot
d)
Histogram
53.
Which graph would be the best to represent categorical data?
a)
Pie Chart
b)
Dot Plot
c)
Stem Plot
d)
Box Plot
54.
a)
only one of the data sets is symmetric
b)
the median in 1st period is greater than the median in 5th period
c)
the highest test score is the same in both classes
d)
the interquartile range is larger in 1st period than in 5th period
55.
a)
symmetric, with outliers
b)
symmetric, with no outliers
c)
skewed to the left
d)
skewed to the right
56.
a)
the shapes of both plots are symmetrical
b)
the data spreads for both populations are the same
c)
Route 9 is skewed left
d)
Route 9 is skewed right
57.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
58.
A set of data has a z-score of zero. This means that all of the data points are the same as the mean.
a)
True
b)
False
59.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
60.
A test is given that has a mean of 70 and a standard deviation of 13. If a student's Z-score is +1, the student's score before conversion was:
a)
70
b)
83
c)
57
d)
Cannot be determined from the information given.
61.
Suppose that the Chapter 1-5 test scores are normally distributed based on the model N(82,5). How many standard deviations from the mean is a student who scored a 70 on the test?
a)
z = 70
b)
z = 12
c)
z = 2.4
d)
z = -2.4
62.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
63.
Find the area under the normal distribution curve between a z=-1.26 and z=.57.
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
64.
For the Normal distribution shown, the standard deviation is closest to
a)
1
b)
2
c)
3
d)
4
65.
Which of the following are true?
I. In a normal distribution, the mean is always equal to the median.
II. All unimodal and symmetric distributions are normal for some value of μ and σ .
III. In a normal distribution, nearly all of the data is within 3 standard deviations of the mean, no matter the mean and standard deviation.
I. In a normal distribution, the mean is always equal to the median.
II. All unimodal and symmetric distributions are normal for some value of μ and σ .
III. In a normal distribution, nearly all of the data is within 3 standard deviations of the mean, no matter the mean and standard deviation.
a)
I Only
b)
II Only
c)
III Only
d)
I and III Only
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