Empirical Rule
Authored by Kassidy Drury
Mathematics
12th Grade
CCSS covered
Used 11+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
Content View
Student View
11 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
Tags
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
Tags
CCSS.HSS.ID.A.4
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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.
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
Tags
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Students pass a test if they score 50% or more.
The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.
Assuming this data is normally distributed, what percentage of students pass the test?
Tags
CCSS.HSS.ID.A.4
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
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
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
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%
Tags
CCSS.HSS.ID.A.4
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Microsoft
or continue with
%20(1).png)
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?
