Chapter2

1. Which of the following is an example of ordinal categorical data?

• A. Hair colour

• B. Postcode

• C. Coffee sizes: Small, Medium, Large

• D. Number of siblings

2. What is the key difference between discrete and continuous numerical data?

• A. Discrete data can be decimal values

• B. Continuous data is always whole numbers

• C. Discrete data can only be measured, not counted

• D. Discrete data involves counting; continuous involves measuring

3. In a bar chart representing categorical data, the bars:

• A. Must be touching to indicate continuity

• B. Represent frequencies of numerical intervals

• C. Are separated to show distinct categories

• D. Vary in width depending on data size

4. Which of the following variables would best be displayed using a histogram?

• A. Favourite fruit

• B. Number of siblings

• C. Rating of customer satisfaction (low, medium, high)

• D. Eye colour

5. A distribution with a longer tail on the right side is said to be:

• A. Negatively skewed

• B. Symmetric

• C. Positively skewed

• D. Normally distributed

6. Which measure of centre is most appropriate when the data contains outliers?

• A. Mean

• B. Mode

• C. Median

• D. Range

7. What does the interquartile range (IQR) represent?

• A. The distance between the maximum and minimum

• B. The average of all data values

• C. The spread of the middle 50% of the data

• D. The number of outliers in the data set

8. According to the 68–95–99.7 rule, approximately what percentage of data lies within 2 standard deviations of the mean in a normal distribution?

• A. 68%

• B. 95%

• C. 99.7%

• D. 50%

9. What are the five numbers in a five-number summary for constructing a boxplot?

• A. Mean, median, mode, range, IQR

• B. Minimum, Q1, median, Q3, maximum

• C. Q1, Q2, Q3, mean, IQR

• D. Lower fence, median, upper fence, Q1, Q3

10. What characteristic of a back-to-back stem plot allows it to compare two distributions effectively?

• A. Uses standard deviation instead of median

• B. Displays categories on one axis and frequencies on the other

• C. Shares a common stem with separate leaves on each side

• D. Uses stacked bars to represent grouped data