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Math Analysis (X)
Unit 8 Review
Mrs. Pretz
Use the following data for problems 1- 13
The students in a class had the following scores on a quiz:
87, 97, 68, 91, 84, 79, 96, 83, 72, 60, 99, 76, 88, 71, 87
Find the following:(Round to two decimal places)
1.
mode
4.
interquartile range
2.
mean
3.
Five number summary
a. Minimum
5.
semi-interquartile range
b. lower quartile (Q1)
6.
range
c. median
7.
variance
d. upper quartile (Q3)
8.
standard deviation
e. maximum
10.
Make a stem plot for the above data
9.
mean deviation
(you’ll need to make a chart)
11.
Create a histogram for the above data. Use the frequencies from your stem plot. Be sure
to name and label the axes.
12.
Draw a modified box plot for the above data. Mark any outliers with an “x”.
13.
List any scores that are outliers and explain why they are outliers.
14.
The following is a box plot for the test scores of Mrs. Pretz’s 4th period Analysis class.
Write a few sentences to explain what the box plot tells you about the class and how well
they understood the material covered on the test.
x
40
45
50
55
60
65
70
75
80
85
90
95
100
15.
To receive an A in a class, Meredith needs at least a mean of 90 on five exams.
Meredith’s grades on the first four exams were 87, 95, 86, and 94. What minimum score
does Meredith need on the fifth exam to receive an A?
16.
Michael’s median score on three tests was 90. His mean score was 92 and his range was
6. What were his three test scores?
17.
The average teacher salary at Conestoga is $65,000 and the standard deviation is $1000.
What happens to the mean and standard deviation if every teacher gets a raise of $5000?
18.
The mean of these five numbers is 50: 20, 35, 50, 60, 85. Add four numbers to the list so
that the mean of the nine numbers is still 50.
19.
Which of these sets of data would you expect to have a larger standard deviation?
Explain your answer.
a.
b.
20.
A standardized math test was given to 10,000 students, and the scores were normally
distributed. The mean was 500 and the standard deviation was 60. If a student scored
between 440 and 560 points, the student was assigned to an introductory college math
course. About how many students were assigned to the course?
21.
At a certain university, the combined math plus verbal standardized test scores of
incoming freshmen had a mean of 1250 and a standard deviation of 70. The data were
normally distributed. Find the range of scores that would include 90% of the students.
22.
According to psychologists, IQs are normally distributed with a mean of 100 and a
standard deviation of 15. To be considered a genius a person must have an IQ greater
than 130. What percent of the population would be considered geniuses?
What percent would have IQs between 100 and 130?
t
P
t
P
0.0
0.00
0
0.08
0
0.15
9
0.23
6
0.31
1
0.38
3
0.45
1
0.51
6
0.57
6
0.9
0.632
1.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
t
P
t
P
1.7
0.911
2.5
0.988
0.683
1.8
0.929
0.990
1.1
0.729
1.9
0.943
2.5
8
2.6
1.2
0.770
1.96
0.950
2.7
0.993
1.3
0.807
2.0
0.955
2.8
0.995
1.4
0.838
2.1
0.964
2.9
0.996
1.5
0.866
2.2
0.972
3.0
0.997
1.6
0.891
2.3
0.979
3.5
1.6
5
0.900
2.4
0.984
4.0
0.999
5
0.999
9
0.991