Empirical Rule and Chebyshev

Empirical Rule and Chebyshev

10th - 12th Grade

15 Qs

quiz-placeholder

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Empirical Rule and Chebyshev

Empirical Rule and Chebyshev

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Easy

Created by

Barbara White

Used 1+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 
1084 to 1216 pounds 
1106 to 1150 pounds 
1106 to 1194 pounds 
1128 to 1172 pounds

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.
2.5%
.15%
2.35%
2.25%

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
68%
99.7%
95%
84%

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.
 28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?
68%
34%
16%
2.5%

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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?
4.1 
4.1 or higher
4.7
4.5 or higher

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

In a population, if μ=125 (mean) and σ=25 (SD), how common are values in the 100 – 175 range?

68%

84%

81.5%

95%

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