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WorksheetsEmpirical Rule Practice
Total questions: 10
Worksheet time: 10mins
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%
0.15%
2.35%
2.25%
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
Which interval shows 68% 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
Which interval shows 99.7% 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
Use the following information and the Empirical Rule to estimate the answer.
The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.
Find the proportion of golfers that are older than 42.
13.5%
16%
50%
85%
The Empirical Rule's percents are:
68-95.7-99
68-95-99.7
68.7-95-99
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What ACT score is 3 standard deviations below the mean?
12
16
20
21
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%
Which best describes the shaded part of this normal distribution graph?
All data that is one or higher.
All data that is one or more standard deviations above the mean.
All data that is between 1 and 3.
All data that is above the mean.
Which interval shows 99.7% 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
