Practice Questions on Empirical Rule
Various practice questions on Empirical Rule are,
Q1: Average height of students in a class is 65 inches with a standard deviation of 3 inches. What percentage of students have a height between 62 inches and 68 inches?
Q2: Mean score on a standardized test is 500 with a standard deviation of 50. Approximately what percentage of students scored between 400 and 600 on the test?
Q3: A company’s monthly profit has a mean of $10,000 with a standard deviation of $2,000. What percentage of months does the company expect to have profits between $6,000 and $14,000?
Q4: Average daily temperature in a city during winter is 40°F with a standard deviation of 5°F. About what percentage of days can the residents expect the temperature to be between 30°F and 50°F?
Q5: Weight of apples in a crate follows a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. What percentage of apples weigh between 110 grams and 190 grams?
Empirical Rule
Empirical Rule, also known as the 68-95-99.7 rule, states that in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this article we will understand, Empirical Rule, Normal Distribution, Standard Deviation, Applications of Empirical Rule, Empirical Rule Formula, and others in detail.
Table of Content
- What is Empirical Rule?
- Normal Distribution
- Empirical Rule and Standard Deviation
- How Does Empirical Rule Work?
- Formula of Empirical Rule
- Empirical Rule Vs Chebyshev’s Theorem
- Chebyshev’s Theorem
- Applications of Empirical Rule