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Day 12: 68-95-99.7% Rule

Total questions: 15

Worksheet time: 50mins

Name
Class
Date
1.
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.
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.
2.
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?
a)
68%
b)
34%
c)
16%
d)
2.5%
3.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
4.
Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
5.
Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
6.
Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3? 
a)
9 to 21
b)
12 to 18
c)
6 to 24
d)
13 to 16
7.

What is the percentage of data that falls within three standard deviations of the mean?

a)

99.7%

b)

98.7%

c)

95%

d)

100%

8.

What is the percentage of data that falls within two standard deviations of the mean?

a)

68%

b)

99.7%

c)

95%

d)

98%

9.

The Empirical (68-95-99.7) Rule can be applied only if data is ....

a)

Normally Distributed

b)

Uniform

c)

Skewed

d)

Symmetric

10.

What is the percentage of data that falls within one standard deviation of the mean?

a)

67%

b)

65%

c)

72%

d)

68%

11.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


What percent of golfers are between 30 and 46 years old?

a)

68%

b)

94%

c)

95%

d)

99.7%

12.

The Empirical Rule's percents are:

a)

68-95.7-99

b)

68-95-99.7

c)

68.7-95-99

13.

Daily 3: What is 12% of 98?

(a)  

14.

Daily 3: Solve for x.


2x - 8 = 13 - x

(a)  

15.

Daily 3: Solve for a.


f = ma

(a)