CHSPE Data Analysis 5 — Questions and Answers
Question 1: Which measure of central tendency is most useful when data includes extreme outliers?
- Mean
- Median (Correct answer)
- Mode
- Range
Correct answer: Median
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?
- 3
- 3.57 (Correct answer)
- 4
- 4.5
Correct answer: 3.57
(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?
- 45
- 90
- 180 (Correct answer)
- 225
Correct answer: 180
0.45 × 400 = 180 students prefer soccer.
Question 4: Which of the following is an example of categorical data?
- Heights of students in centimeters
- Number of siblings each student has
- Favorite color of each student (Correct answer)
- Test scores out of 100
Correct answer: Favorite color of each student
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?
- IQR = 15; outlier below −2.5 or above 57.5
- IQR = 55; outlier above 90
- IQR = 15; outlier below 5 or above 57.5 (Correct answer)
- IQR = 15; outlier below 0 or above 50
Correct answer: IQR = 15; outlier below 5 or above 57.5
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.
Question 6: A spinner has 4 equal sections: red, blue, green, yellow. What is the probability of NOT landing on red?
- 1/4
- 1/2
- 3/4 (Correct answer)
- 1
Correct answer: 3/4
P(not red) = 1 − P(red) = 1 − 1/4 = 3/4.
Question 7: A double bar graph compares boys' and girls' favorite subjects. Which conclusion can be drawn if the math bars are equal in height?
- More boys than girls like math
- Boys and girls favor math equally (Correct answer)
- Math is the most popular subject overall
- Girls prefer science over math
Correct answer: Boys and girls favor math equally
Equal bar heights represent equal frequencies or percentages, indicating boys and girls favor math at the same rate.
CHSPE Data Analysis 5
Which measure of central tendency is most useful when data includes extreme outliers?