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WorksheetsNormal Distribution and Empirical Rule Worksheet
Total questions: 15
Worksheet time: 15mins
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?
81.5%
47.5%
68%
95%
Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?
34%
81.5%
16%
2.5%
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.
28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.
The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m
In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?
24
54
97
100
95% of students at school weigh between 62 kg and 90 kg.
Assuming this data is normally distributed, what are the mean and standard deviation?
Mean = 66 kg
S.D. = 7 kg
Mean = 76 kg
S.D. = 7 kg
Mean = 86 kg
S.D. = 7 kg
Mean = 76 kg
S.D. = 14 kg
What is the the total area under the standard normal distribution curve?
100
25
.5
1
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
26-32
3-29
26-29
39-32
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 proportion of teenagers who will have waist sizes greater than 31 inches?
92.4%
10.5%
16%
7.6%
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall?
50%
2.5%
13.5%
34%
68% of the marks in a test are between 51 and 64
Assuming this data is normally distributed, what are the mean and standard deviation?
Mean = 57
S.D. = 6.5
Mean = 57
S.D. = 7
Mean = 57.5
S.D. = 6.5
Mean = 57.5
S.D. = 13
According to the 68-95-99.7 rule, what percentage of data falls within one standard deviation of the mean in a normal distribution?
50%
68%
75%
90%
In a normal distribution, what percentage of data falls within two standard deviations of the mean according to the 68-95-99.7 rule?
50%
95%
99.7%
68%
In a normal distribution, what percentage of data falls within three standard deviations of the mean according to the 68-95-99.7 rule?
68%
95%
50%
99.7%
What is the shape of a normal distribution?
circular
bell-shaped
triangular
rectangular
Between what two standard deviations of a normal distribution contain 68% of the data?
one below and one above
two below and two above
two below and zero
zero and two above
