Probability and Statistics Cumulative Review

For Mrs. V: mean = 55 and standard deviation = 19

For Mr. T: mean = 33 and standard deviation = 10.5

Mary Beth is very proud of the score of 80 that she earned in Mrs. V's class. Albert is equally proud of the score of 42 he earned in Mr. T's class. Who has the better score?

• Mary Beth

• Albert

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

• 298

• 296

• 220

• 380

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?

• 68%
• 99.7%
• 95%
• 84%

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?

• 4.1 
• 4.1 or higher
• 4.7
• 4.5 or higher

In a population, if μ=125 and σ=25, how common are values in the 100 – 175 range?

• 68%
• 84%
• 81.5%
• 95%

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES
• NO

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES
• NO

The data below represents the scores students received on a recent Statistics quiz. Calculate the percentile for a student that scored 24 points.

15, 18, 19, 20, 21, 21, 22, 22, 24, 25

• 20th

• 80th

• 90th

• 99th

What is the percentile of the value 74 in the following group of 15 data values? 23, 30, 35, 55, 61, 65, 68, 69, 70, 74, 80, 85, 90, 100, 100

• 73rd

• 67th

• 75th

• 60th