Understanding the Empirical Rule

Understanding the Empirical Rule

Assessment

Interactive Video

Mathematics, Science, Other

9th - 12th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

This video tutorial explains the empirical rule, also known as the 68-95-99.7 rule, and its application in finding percentiles. It covers the concept of a normal distribution, the significance of standard deviations, and how to calculate specific percentiles using the empirical rule. The tutorial includes example calculations to illustrate the process and concludes with a summary of the key points discussed.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the empirical rule also known as?

The 68-95-99.7 rule

The 90-10 rule

The 50-50 rule

The 80-20 rule

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the empirical rule, what percentage of data falls within one standard deviation of the mean?

95%

68%

99.7%

50%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the mean house price in the given example?

$182,100

$186,300

$180,000

$175,800

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much of the data falls outside two standard deviations according to the empirical rule?

15%

2.5%

5%

10%

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentile is represented by a value that falls below 175,800 in the example?

84th percentile

16th percentile

50th percentile

2.5th percentile

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the 50th percentile always equal to in a normal distribution?

The median

Two standard deviations below the mean

One standard deviation above the mean

The mean

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the percentile for a value of 182,900 in the example?

2.5th percentile

16th percentile

50th percentile

84th percentile

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