CHSPE Data Analysis 4 โ Questions and Answers
Question 1: A line of best fit on a scatter plot is used to:
- Connect every data point exactly
- Show the exact relationship between variables
- Predict values and show trends in the data (Correct answer)
- Display the mode of a data set
Correct answer: Predict values and show trends in the data
A line of best fit (trend line) is used to identify trends and make predictions about data.
Question 2: The range of the data set {12, 15, 18, 22, 30} is:
- 12
- 18 (Correct answer)
- 22
- 30
Correct answer: 18
Range = maximum โ minimum = 30 โ 12 = 18.
Question 3: Which sampling method gives every member of a population an equal chance of being selected?
- Convenience sampling
- Voluntary response sampling
- Random sampling (Correct answer)
- Stratified sampling
Correct answer: Random sampling
Random sampling gives every member an equal chance of selection, reducing bias.
Question 4: A bar graph shows monthly rainfall. June had 3 inches, July had 5 inches, August had 4 inches. What was the average monthly rainfall for those three months?
- 3 inches
- 4 inches (Correct answer)
- 5 inches
- 12 inches
Correct answer: 4 inches
(3 + 5 + 4) รท 3 = 12 รท 3 = 4 inches.
Question 5: In a data set, an outlier is BEST described as:
- The most common value
- A value far from the rest of the data (Correct answer)
- The middle value when sorted
- The difference between highest and lowest
Correct answer: A value far from the rest of the data
An outlier is a data point that lies significantly far from the other values in the set.
Question 6: A frequency table shows: Score 70 (5 students), 80 (8 students), 90 (7 students). How many students scored above 75?
- 5
- 8
- 13
- 15 (Correct answer)
Correct answer: 15
Students scoring above 75 are those who scored 80 (8) and 90 (7), totaling 15.
Question 7: A student rolls a number cube (1โ6) twice. What is the probability of rolling a 3 both times?
- 1/6
- 1/12
- 1/36 (Correct answer)
- 2/6
Correct answer: 1/36
Independent events: (1/6) ร (1/6) = 1/36.
A line of best fit on a scatter plot is used to: