WorksheetsNormal Distribution Summary
Total questions: 15
Worksheet time: 36mins
Name
Class
Date
1.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
2.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
2
3.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
4.
Calvin is investigating the heights of a group of students:
158cm 172cm 164cm
164cm 167cm 159cm
What is the midrange of the heights?
158cm 172cm 164cm
164cm 167cm 159cm
What is the midrange of the heights?
a)
14 cm
b)
164 cm
c)
165 cm
d)
330c m
5.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
6.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
7.
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.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
8.
Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability.
a)
2.5%
b)
2.35%
c)
16%
d)
13.5%
9.
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?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
10.
Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8). Pat scores a 76 and Chris scored a 94. What percent of individuals would score between Pat and Chris?
a)
26.8%
b)
96%
c)
65.1%
d)
4%
11.
A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.
a)
2.5%
b)
.15%
c)
2.35%
d)
2.25%
12.
In a population, if μ=125 and σ=25, how common are values in the 100 – 175 range?
a)
68%
b)
84%
c)
81.5%
d)
95%
13.
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?
a)
4.1
b)
4.1 or higher
c)
4.7
d)
4.5 or higher
14.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.
a)
2
b)
1
c)
-2
d)
-1
15.
If the shaded area under the curve is .85, what is the other missing portion of the curve?
a)
.26
b)
.15
c)
.30
d)
.17
100 %
