Normal distribution

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above
• two below and two above
• two below and zero
• zero and two above

 mean = 70 , standard deviation = 8 , element = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the amount of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

Which is NOT true about the standard normal distribution?

• It is bell-shaped.
• It is unimodal.
• The score of all z-scores is zero
• It shows the median of the data set

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82
• 88
• 100
• 118

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

• 5
• 6
• 9
• 11

Tags

CCSS.6.EE.A.2C

The normal curve is symmetrical about the mean.

• True
• False

You take the GRE and score 1100 on the combined math and verbal portions. The mean score for these two sections of the GRE is 1026.  The standard deviation is 209. What is your Z-score?

• .354
• 1.0
• 1.354
• Cannot determine from the information given.

Tags

CCSS.HSS.ID.A.4

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5