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WorksheetsStatistics Chapter 5--The Standard Deviation as a Ruler
Total questions: 13
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?
a)
-5
b)
-2
c)
2
d)
5
2.
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
3.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
a)
82
b)
88
c)
100
d)
118
4.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
5.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
a)
2
b)
1
c)
-2
d)
-1
6.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?
a)
1
b)
1.43
c)
-1.43
d)
11.5
7.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of days in February will have days below 23 degrees?
a)
5%
b)
34%
c)
50%
d)
68%
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?
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
9.
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?
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
10.
The normal curve is symmetrical about the mean.
a)
True
b)
False
11.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
12.
a)
symmetric, with outliers
b)
symmetric, with no outliers
c)
skewed to the left
d)
skewed to the right
13.
Women’s heights have a mean of 63.6 in. and a standard deviation of 2.5 inches. The z score corresponding to a woman with a height is 2.56. How tall is the woman?
a)
24.42 in
b)
70 in
c)
28in
d)
68.6in
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