Question: A data set has a mean of 50 and a standard deviation of 10. Which of the following might possibly be true, and which are

A data set has a mean of 50 and a standard deviation of 10.

Which of the following might possibly be true, and which are impossible?

a. More than 10% of the data values are negative.

b. Only 5% of the data values are greater than 70.

c. More than 20% of the data values are less than 30.

d. Less than 75% of the data values are between 30 and 70.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We can check each statement using the empirical rule which states that for normally distributed data Approximately 68 of the data falls within one sta... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics Questions!