WorksheetsM 4 Normal Distribution Quiz
Total questions: 20
Worksheet time: 2hrs 44mins
This data is normally distributed. What percent of the data is in the shaded region?
50%
68%
95%
99.7%
This data is normally distributed. What percent of the data is in the shaded region?
68%
32%
16%
50%
If I tell you that you scored at the 55th percentile on your final exam, you would know:
55% of the class scored the same or worse than you did
You earned a 55% on the exam
You failed the exam
45% of the class scored worse than you did
What percentage of data falls within 1 standard deviation?
25%
68%
95%
99.7%
If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?
40
35
45
50
If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?
20
15
40
30
Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 54 and 96?
13.5%
99.7%
95%
2.15%
A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes. If 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes?
1750
30
320
100
A 5th grader takes a test (mean=125, SD=15) and scores a 148. What is the child's percentile rank?
93%
68%
7%
99.7%
A 5th grader takes a test (mean=125, SD=15) and scores a 148. What is the child's percentile rank?
93%
68%
7%
99.7%
Z-score of 2.5 on an IQ test is considered a genius (mean=100, SD=16). What score makes someone a genius? Hint: SOLVE for X
89.2
130
99.38
140
Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?
1.39%
45.34%
98.41%
22.34%
Find the Z-score.
Mean = 21
Standard Deviation: 1.3
x = 22
0.77
5.33
1.07
1.26
Find the z-score.
{1, 9, 16, 7, 2, 23}
x = 5
-0.61
+0.61
3.2
-2.1
Find the z-score.
{1, 9, 16, 7, 2, 23}
x = 5
-0.61
+0.61
3.2
-2.1
Kellogg's cereal has an average of 7.6 g of sugar with an SD of 4.5g.
What is the Z-score of Frosted Flakes if it has 11g sugar?
+0.76
-0.74
+0.68
+0.28
The mean weight of Sumo wrestlers is 330 pounds with a standard deviation of 40 pounds. The mean weight of soccer players is 142 pounds with a standard deviation of 5.2 pounds.
A particular Sumo wrestler weighs 360 pounds and a particular Soccer player weighs 153.6 pounds. Who weighs more, relatively speaking? (Who has a higher z score?)
Sumo wrestler
Soccer player
They weigh the same, relatively speaking
A town has a speed limit of 45 mph. If the speeds of cars traveling in the town can be described by a Normal model with a mean of 48 mph and a standard deviation of 3.5 mph, what percent of cars are Not exceeding the speed limit?
80.43%
19.56%
23.86%
75%
