Statistics, Mean Median Mode, Interquartile Range, Dot Plots Circle Graphs

Adam's Z-score on a test is +2.50. What does this mean?

• Adam's score has a 2.5% chance of being better than any other randomly selected score.

• Adam's test score was better than 25% of his peers.

• He scored 2.5 standard deviations above the average.

• He did terrible.

The mean of the z-score will always be zero even though the raw scores is 100

• True

• False

Kellogg's cereal has an average of 7.6 g of sugar with an SD of 4.5g.

What is the Z-score of Frosted Flakes if it has 11g sugar?

• +0.76

• -0.74

• +0.68

• +0.28

Crispix has 3g of sugar. What is the z-score? (mean = 7.6, SD = 4.5)

• +1.02

• -1.02

• -0.76

• +0.76

The mean weight of Sumo wrestlers is 330 pounds with a standard deviation of 40 pounds. The mean weight of soccer players is 142 pounds with a standard deviation of 5.2 pounds. A particular Sumo wrestler weighs 360 pounds and a particular Soccer player weighs 153.6 pounds. Who weighs more, relatively speaking? (Who has a higher z score?)

• Sumo wrestler

• Soccer player

• They weigh the same, relatively speaking

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2

• 1

• -2

• -1

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  

• 1 

• 1.43

• -1.43

• 11.5

Composite scores on the ACT are normally distributed with a mean of 21 and standard deviation of 5. Find the z-score for a student that gets a 31.

• -2.00

• 2.00

• 1.50

• 0.00

Weights of wallabies are normally distributed with a mean of 9lbs and a standard deviation of 1.5lbs. Which weight would correspond to a z-score of -2?

• 9lbs

• 10.5lbs

• 7.5lbs

• 6lbs

• 12lbs

Which of the following are true statements regarding z-scores?

• They include units

• They do not include units

• A negative z-score suggests the observation is less than the mean

• They are calculated using Medians and IQR's

• They are calculated using Means and Standard Deviations