Chebyshev's Theorem and the Empirical (Normal) Rule

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie?

• 24 - 36 years

• 18 - 42 years

• 12 - 48 years

• 6 - 54 years

Tags

CCSS.HSS.ID.A.4

The average of the number of trials it took a sample of mice to learn to traverse a maze was 12. the standard deviation was 2. Using Chebyshev's theorem, find the minimum percentage of of data values that will fall in the range of 4 to 20 trials.

• 75%

• 88.89%

• 93.75%

• 96%

• 97.22%

Tags

CCSS.HSS.ID.A.4

A sample of the labor cost per hour to assemble a certain produce has a mean of $2.60 and a standard deviation of $0.15. Using Chebyshev's theorem, find the range in which at least 88.89% of the data will lie.

• $2.45 - $2.75

• $2.15 - $3.05

• -$10.73 - $15.93

The mean of a distribution is 20 with a standard deviation of 2. Use Chebyshev's theorem.

At least what percent of the values will fall between 10 and 30?

• 75%

• 88.89%

• 93.75%

• 96%

• 97.22%

Tags

CCSS.HSS.ID.A.4

Using Chebyshev's theorem. With a mean of 80 and a standard deviation of 5 at least what percentage of values will fall between 65 and 95?

• 75%

• 88.89%

• 93.75%

• 96%

• 97.22%

Tags

CCSS.HSS.ID.A.4

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years. Between which two age limits must at least 75% of the data lie?

• 24 - 36

• 18 - 42

• 26 - 38

• -51 - 111

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The mean score of the Insurance Commission Licensure Examination is 75 with a standard deviation of 5.  What percentage of the data set lies between 50 and 100?

• 99%
• 98%
• 97%
• 96%

The mean age of flight attendants of PAL is 40 years old with a standard deviation of 8 years.  What percent of the data set lies between 20 years and 60 years?

• 96%
• 90%
• 84%
• 75%

Tags

CCSS.HSS.ID.A.4

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

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%