WorksheetsNormal Distributions
Total questions: 25
Worksheet time: 1hrs 17mins
How is the graph distributed?
Normally
Skewed to the Left
Skewed to the Right
Uniform
The distribution above is normal. What percent lies below the curve?
68%
95%
99.7%
100%
The mean GPA of students in a course at UGA 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%
This data is normally distributed. What percent of the data is in the shaded regions?
5%
95%
2.5%
50%
About what percent of the products last between 12 and 15 days?
Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?
34%
16%
81.5%
2.5%
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the percentage of golfers that are between 30 and 46 years old.
68%
94%
95%
99.7%
What percentages of pregnancies last less than 250 days?
2.35%
13.5%
16%
34%
What percentage of pregnancies are longer than 298 days?
0.15%
2.35%
2.5%
13.5%
The average weight of a newborn is 7.5 pounds, with a standard deviation of 1.25 pounds. Birth weight follows the standard normal curve. What percent of newborns weigh 5 pounds or less at birth?
2.35%
0.15%
2.5%
50%
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
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 percentage of golfers that are between 30 and 46 years old.
68%
94%
95%
99.7%
Located at the center of a normal distribution is the ________ and it is represented by the symbol, ___.
mean, μ
standard deviation, μ
standard deivation, σ
mean, σ
The averaged distance away points are from the center of a normal distribution is called the ________ and is represented by the symbol, ___.
mean, μ
standard deviation, μ
standard deviation, σ
mean, σ
Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?
34%
81.5%
16%
2.5%
Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?
68%
81.5%
16%
34%
Given a mean of 75 and a standard deviation of 7, what percentage of scores are greater than 68?
34%
84%
95%
68%
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.
There are 500 golf members at the Mathy Country Club. How many are younger than 34?
16
80
100
150
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 older than 42.
13.5%
16%
50%
85%
