CHSPE Data Analysis 5

Question 1

Which measure of central tendency is most useful when data includes extreme outliers?

Accepted Answer

Median

Answer

The median is resistant to outliers, making it more representative of the center when extreme values are present.

Question 2

A survey asks students to rate school lunch from 1 to 5. The ratings are: 2, 3, 3, 4, 4, 4, 5. What is the mean rating?

Accepted Answer

3.57

Answer

(2+3+3+4+4+4+5) ÷ 7 = 25 ÷ 7 ≈ 3.57.

Question 3

A relative frequency table shows that 0.45 of students prefer soccer. Out of 400 students, how many prefer soccer?

Accepted Answer

180

Answer

0.45 × 400 = 180 students prefer soccer.

Question 4

Which of the following is an example of categorical data?

Accepted Answer

Favorite color of each student

Answer

Categorical data sorts individuals into groups or categories, such as colors, rather than measuring a numeric quantity.

Question 5

A data set has Q1 = 20 and Q3 = 35. What is the IQR, and which value would be considered an outlier?

Accepted Answer

IQR = 15; outlier below 5 or above 57.5

Answer

IQR = 35 − 20 = 15; outlier boundaries are Q1 − 1.5×IQR = 20 − 22.5 = −2.5 and Q3 + 1.5×IQR = 35 + 22.5 = 57.5.

California High School Proficiency Exam Practice Test