Ap Statistics Math Worksheet (Page 2 of 4) in pdf

Ap Statistics Math Worksheet Page 2

Questions 8, 9, and 10 use the same histogram.

8. Here is a histogram of test scores on a calculus test.

How many people took the test?

A) 25

B) 7

C) 72

D) 110

E) Not enough information to answer

40 50 60 70 80 90 100 110

9. What could be the median score?

A) 65

B) 75

C) 85

D) 95

10. How many people got the bonus question correct and scored over 100?

A) 0

B) 1

C) 2

D) Not enough information to answer

11. The graph to the right shows a cumulative relative frequency

curve for the land values for farms on sale in a rural community.

What is the median land value?

Approximately what percent of the land values are under

$2,500 per acre?

The most expensive 10% of farms are above what dollar

value?

What is the land value that exceeds approximately 70% of

the remaining farms?

What is the land value that is exceeded by approximately 60% of the remaining farms?

12. The Scoville scale measures the hotness (or piquancy) of a chili pepper in Scoville heat units (SHU), as defined by the amount of

capsaicin it contains. Capsaicin is a chemical compound which stimulates chemoreceptor nerve endings in the skin, especially the

mucous membranes. The higher the Scoville heat units, the hotter the pepper. Habanero peppers have an average of 225,000

SHU, but typically those below 150,000 are considered inferior and not used by salsa experts. A particular restaurant owner

knows that customers are likely to complain if his “Firehouse” salsa is too mild. He also just happens to know that 11% of

habaneros are “inferior.”

A. What is the standard deviation of Habanero hotness in SHU?

B. Scientists are trying to grow Habaneros such that only 4% are considered “inferior.” One way to do this is to raise the average

SHU. If the S.dev. stays the same, what target mean should they have as a goal?

Ap Statistics Math Worksheet Page 2