CAASPP Data Analysis 4 — Questions and Answers
Question 1: A data set has Q1 = 15 and Q3 = 35. Which value would be considered an outlier using the 1.5 × IQR rule?
- 20
- 40
- 55
- 70 (Correct answer)
Correct answer: 70
IQR = 20; upper fence = 35 + 30 = 65, so 70 exceeds the fence and is an outlier.
Question 2: A set of test scores has a range of 45. What does the range tell you?
- The middle score
- The average score
- The spread between the highest and lowest scores (Correct answer)
- The most common score
Correct answer: The spread between the highest and lowest scores
Range = maximum − minimum, so it describes the total spread of the data set.
Question 3: In a stem-and-leaf plot, the stem 4 has leaves 1, 3, 7. What values do these represent?
- 4, 13, 7
- 41, 43, 47 (Correct answer)
- 14, 34, 74
- 140, 130, 170
Correct answer: 41, 43, 47
In a stem-and-leaf plot, each leaf is combined with its stem: 4|1 = 41, 4|3 = 43, 4|7 = 47.
Question 4: A student records daily high temperatures for a week: 72, 75, 68, 80, 72, 79, 72. What is the mode?
- 72 (Correct answer)
- 75
- 79
- 80
Correct answer: 72
72 appears three times, more than any other value, making it the mode.
Question 5: A circle graph (pie chart) shows that 30% of students prefer math. If there are 400 students total, how many prefer math?
- 30
- 90
- 120 (Correct answer)
- 150
Correct answer: 120
30% of 400 = 0.30 × 400 = 120 students prefer math.
Question 6: Which of the following best describes a negative correlation in a scatter plot?
- As x increases, y increases
- As x increases, y decreases (Correct answer)
- The points form a horizontal line
- The points are randomly scattered
Correct answer: As x increases, y decreases
A negative correlation means that as one variable increases, the other variable tends to decrease.
Question 7: A bag contains 5 red, 3 blue, and 2 green marbles. If the results of 50 draws (with replacement) are displayed in a bar graph, what should the bar for red be closest to?
- 10
- 15
- 25 (Correct answer)
- 30
Correct answer: 25
Red marbles make up 5/10 = 50% of the bag, so in 50 draws the expected count is 25.
CAASPP Data Analysis 4
A data set has Q1 = 15 and Q3 = 35.
Which value would be considered an outlier using the 1.5 × IQR rule?