WorksheetsSHS Unit 1: Normal Dist. and Empirical Rule Assessment
Total questions: 20
Worksheet time: 35mins
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 99.7% of molds filled by this machine will hold weights in what interval?
Then, 68% of all tires will have a life between ___________ km and __________ km.
What percent of people within 3 standard deviations of the mean?
99.7
34
68
95
What percent of people within 2 standard deviations of the mean?
99.7
34
68
95
What percent of people within 1 standard deviation of the mean?
99.7
34
68
95
What percentage of the data is between 1 and 2 standard deviations
34%
50%
2.35%
13.5%
What percentage of the data is between 1 and 2 standard deviations
34%
50%
2.35%
13.5%
What percent of people are 3 standard deviations above the mean?
.15
34
68
2.35
About what percent of the products last between 12 and 15 days?
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 between 30 and 46 years old.
68%
94%
95%
99.7%
About what percent of the products last between 12 and 15 days?
2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.
What percent of scores are less than 70?
34%
50%
16%
84%
2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.
What percent of scores are between 65 and 75?
34%
50%
68%
81.5%
500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.
What percent of ACT scores are between 20 and 28?
34%
68%
81.5%
95%
This data is:
Normally distributed
Skewed left
Skewed right
