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WorksheetsUnit 1 - Normal Distribution & Z - Score
Total questions: 20
Worksheet time: 40mins
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
6.89
10.1
7.26
9
Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. Draw a normal curve on a separate piece of paper to help. *What test score is two standard deviation above the mean?*
66
86
56
96
Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. *In a group of 230 tests, how many students score below 66?* Round to the nearest whole number.
37
36
78
31
The number of nails of a given length is normally distributed with a mean length of 5.00 inches and a standard deviation of .0.03 inches. What percent of nails in a bag that are less than 4.94?
34%
13.5%
2.5%
Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).
Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.
165
166
170
162
Use the following information and the Empirical Rule to estimate the answer.
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the proportion of golfers that are between 30 and 46 years old.
68%
94%
95%
99.7%
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the probability that a teenager will have a waist size greater than 31 inches.
.924
.105
.16
.076
In Standford, CA, cars were traveling at a mean speed of 23.84 mph, with a standard deviation of 3.56 mph. One car's z-score was +3.2. How fast was that car going?
72.728 mph
12.448 mph
35.232 mph
32.563 mph
The volumes of soda in quart soda bottles can be described by a Normal model with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a volume less than 32 oz?
0.4013
0.2403
0.5204
0.1407
What is the area under the normal curve to the left of one standard deviation above the mean?
0.16
0.34
0.50
0.84
On a standardized exam, the scores are normally distributed with a mean of 75 and a standard deviation of 10. Find the z-score of a person who scored 45 on the exam.
-3
3
1.44
2
On a standardized exam, the scores are normally distributed with a mean of 500 and a standard deviation of 25. Find the z-score of a person who scored 525 on the exam.
1
-1
0
2
Joanne's Z-score is -1.5. What does this mean?
She didn't take the test yet.
She scored 1.5 standard deviations below the average.
She did better than most people.
No clue
A grading scale is set up for 1000 students’ test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15. Calculate the score that has a z-score of -2.
60
475
45
9500
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?
68%
99.7%
95%
34%
