Properties of Normal Distribution

Quiz
•
Mathematics
•
11th Grade
•
Hard
Anthony Clark
FREE Resource
13 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
434 Company pack coffee in bags marked as 250 g
A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.
Assuming this data is normally distributed, what percentage of packs are underweight?
2.5%
3.5%
4%
5%
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
69.37 in
67.58 in
73.12 in
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
-1.33
1.33
0.88
1.02
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 4.6 seconds?
0.83
1.07
-2
-1.07
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
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