Question 1

Which of the following is an example of a discrete data set?

Accepted Answer

The number of cars passing through an intersection in an hour.

Question 2

A survey asks students to report their favorite color. What type of data is this?

Accepted Answer

Qualitative, categorical

Question 3

Given the following data set: $$7, 12, 15, 15, 15, 8, 10, 14, 15$$, what is the median?

Accepted Answer

$$15$$

Question 4

Which of the following best describes the relationship between hours studied and test score if the scatterplot shows a strong upward trend?

Accepted Answer

There is a strong positive correlation.

Question 5

A frequency distribution table is constructed for the following data: $$12, 15, 15, 18, 20, 22, 22, 25, 28, 30. If $$the class width is $$5$$, what is the lower class limit of the second class?

Accepted Answer

$$15$$

Question 6

Which measure of center is most affected by extreme values (outliers)?

Accepted Answer

Mean

Question 7

If a data set has a left-skewed distribution, which measure of center is likely to be the greatest?

Accepted Answer

Mode

Question 8

Given the following sample: $$5, 8, 12, 15, 20$$, calculate the sample mean.

Accepted Answer

$$12$$

Question 9

Which formula is used to calculate the sample standard deviation $$s$$ for a data set $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$s = \sqrt{\frac{\sum (x_i - \overline{x})^2$}{n-1}}$$

Question 10

A researcher collects the systolic blood pressure of 500 randomly selected adults. What type of variable is blood pressure?

Accepted Answer

Quantitative, continuous

Question 11

If the percentile rank of a test score is $$P_{75}$$, what does this mean?

Accepted Answer

The score is higher than 75% of the scores.

Question 12

Which of the following is a real-world example of a continuous variable?

Accepted Answer

The amount of milk in a carton (in liters).

Question 13

A company wants to compare the monthly sales of two stores. Which measure of variation would best describe the consistency of their sales?

Accepted Answer

Standard deviation

Question 14

If a frequency distribution table has a class width of $$10$$ and the lower class limit of the first class is $$50$$, what is the upper class limit of the third class?

Accepted Answer

$$80$$

Question 15

Which of the following best describes the correlation coefficient $$r$$?

Accepted Answer

$$r$$ measures the strength and direction of a linear relationship between two variables.

Question 16

A student scored $$1.5$$ standard deviations above the mean on a test. What is the student's $$z-$$score?

Accepted Answer

$$z = 1.5$$

Question 17

Which of the following is NOT a step in constructing a relative frequency distribution?

Accepted Answer

Multiply each frequency by the class width.

Question 18

If the mean of a data set is $$20$$ and the standard deviation is $$4$$, what is the coefficient of variation (CV)?

Accepted Answer

$$CV = 20\%$$

Question 19

Which of the following is an example of a nominal variable?

Accepted Answer

Blood type (A, B, AB, O)

Question 20

A researcher finds a correlation coefficient of $$r = -0.85$$ between hours of TV watched and exam scores. What does this indicate?

Accepted Answer

A strong negative linear relationship

Module 1 Study Notes: Types of Data, Frequency Distributions, and Descriptive Statistics

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