Empirical Rule and Percentiles

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.

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Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

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What percent of people within 3 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

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What percent of people within 2 standard deviations of the mean?

• 99.7

• 34

• 68

• 95

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What percent of people within 1 standard deviation of the mean?

• 99.7

• 34

• 68

• 95

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The 75th percentile is also know as the

• median
• third quartile
• 1st quartile`
• interquartile range

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The Median is also referred to as

• the 25th Percentile

• the 50th Percentile

• the 75th Percentile

• the 100th Percentile

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What is the PERCENTILE RANK for the data value of 30 in the given data set.

• 80th

• 75th

• 93rd

• 77th

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Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 Find P₇₆

• 8 pounds

• 9 pounds

• 11 pounds

• 10 pounds

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Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile