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WorksheetsNormal Distribution Question Bank
Total questions: 53
Worksheet time: 2hrs 22mins
Where can we locate the mean in the normal curve?
to the left portion
to the right portion
at the center
on the z - axis
What is the total area under the normal curve in a standard normal distribution?
1
2
3
4
Z=0.27.
z=-1.53 and z=0.
About what percent of the products last 6 days or less?
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%
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%
What is the formula to find the corresponding z-score for population data?
z = X - μ / σ
z = (X - μ) / σ
z = μ - X / σ
z = (μ - X) / σ
Which of the following is NOT TRUE?
The mean, median, and the mode are equal.
The curve is asymptotic to the base line.
The total area under the curve is less than 1.
The curve is symmetrical about its center.
Find the z-score for 48 given a mean of 50 and a standard deviation of 5.
2.5
-2.5
-0.4
0.4
Students pass a test if they score 50% or more.
The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.
Assuming this data is normally distributed, what percentage of students pass the test? in percentage...
5
16
24
32
A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?
68%
34%
13.6%
100%
Find the z-score for 75 given a mean of 60 and a standard deviation of 6.
-2.5
2.5
-1.15
1.15
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?
43.31%
56.71%
38.61%
29.87%
The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?
1.64%
98.36%
12.34%
56.19%
A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?
44 and 52 inches
42 and 54 inches
40 and 50 inches
40 and 60 inches
For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.
9.61%
90.39%
28.51%
75.31%
Determine Pr(23 < X < 27) given µ = 24, σ = 3
4.37%
63.06%
47.19
47.19%
The average height of NBA basketball players is 79 inches with a standard deviation of 1.75 inches. Approximately what percent of the players are taller than 82 inches?
about 4% to 5%
about 2% to 3%
about 6% to 7%
about 6.5%c to 7.5%
The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean of 1497
and standard deviation of 322. Calculate the z-score of a student earning a score of 1980.
.
2
1.5
1.75
2.25
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
Then, 68% of all tires will have a life between ___________ km and __________ km.
In a Memorial Day 5K race the mean time that it takes the runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find the probability that a runner finished between 36 and 54 minutes.
81.86%
88.6 %
11.4%
84.62%
In a Memorial Day 5K race the mean time that it takes the 54 runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find the approximate number of the 54 runners that finish less than 36 minutes.
7
1
2
5
In a Memorial Day 5K race the mean time that it takes the 54 runners to complete the course is 48 minutes with a standard deviation of 6 minutes. Find approximate number of runners to finish in more than 54 minutes
9
7
5
3
The times needed to check out at a local grocery store are normally distributed with a mean of 110 seconds and a standard deviation of 20 seconds.
About what percent of shoppers check out between 90 seconds and 130 seconds.
68%
95%
97.5%
65%
The times needed to check out at a local grocery store are normally distributed with a mean of 110 seconds and a standard deviation of 20 seconds.
About what percent of shoppers check out over 2 minutes?
31%
41%
21%
50%
In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are expected to be longer than 10 centimeters
16%
5%
2.35%
64%
In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are at most 8 centimeters?
40.1%
50%
2.3.5%
64%
In a large group of earthworms collected for study, the lengths of earthworms are normally distributed with a mean of 8.4 centimeters and a standard deviation of 1.6 centimeters. What percent of earthworms are between 6 and 9 centimeters?
40.1%
50.94%
57.94%
64%
For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.
9.61%
90.39%
28.51%
75.31%
