Normal distributions and five number summaries

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

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4

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.

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?

• 68%
• 34%
• 16%
• 2.5%

Tags

CCSS.HSS.ID.A.4

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

Tags

CCSS.HSS.ID.A.4

Given the data: 136, 150, 119, 150, 125, 143.
Find the upper quartile (Q3)

•  125
• 150
• 139.5
• 143

Tags

CCSS.6.SP.B.5C

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

• 127
• 155
• 156
• 193

Tags

CCSS.6.SP.B.5C

When finding median and the middle has two numbers instead of one, what do you do?

• Take the higher number
• Take the lower number
• Take both
• Take the average

Tags

CCSS.6.SP.B.5C

Which of the following lists all parts of the five number summary?

• A. Mean, Median, Mode, Range, and Total
• B. Lower Extreme, Lower Quartile, Median, Upper Quartile, and Upper Extreme 
• C. Smallest, Q1, Q2, Q3, and Q4
• D. Lower Quartile, Upper Quartile, Range, Mean, and Median

Tags

CCSS.6.SP.B.5B

What is the median of the data?

• A. 200
• B. 100
• C. 90
• D. 140

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1