Question 1

A hospital administrator wants to analyze patient admission data. According to the 'Five W's + H' framework, which question is most directly related to identifying the variable being measured?

Accepted Answer

What information was recorded about each patient?

Question 2

Which of the following best describes the difference between an individual (unit) and a variable in a data table?

Accepted Answer

An individual is a row in the data table, while a variable is a column representing a characteristic.

Question 3

A survey collects data on students' favorite type of music (pop, rock, classical, jazz). Which type of data is this?

Accepted Answer

Categorical (qualitative) data

Question 4

A bar chart is most appropriate for displaying which type of data?

Accepted Answer

The number of students preferring each type of fruit

Question 5

A pie chart shows the proportion of votes for four candidates in an election. If candidate A received 40% of the votes, what is the angle of the sector representing candidate A?

Accepted Answer

$$144^\circ$$

Question 6

Which measure of center is most resistant to outliers?

Accepted Answer

Median

Question 7

Given the following data set: 2, 4, 4, 5, 7, 8, 10. What is the interquartile range (IQR)?

Accepted Answer

$$IQR = 4$$

Question 8

A histogram of exam scores is right-skewed. Which statement is most likely true about the mean and median?

Accepted Answer

Mean is greater than median

Question 9

Which of the following is NOT a property of the standard deviation?

Accepted Answer

It is always larger than the mean

Question 10

A data set has a mean of 50 and a standard deviation of 5. What is the z-score for a value of 60?

Accepted Answer

$$z = 2$$

Question 11

According to the empirical rule (68-95-99.7 rule), approximately what percentage of data falls within two standard deviations of the mean in a normal distribution?

Accepted Answer

$$95\%$$

Question 12

A boxplot of cholesterol levels for two groups (smokers and non-smokers) shows that smokers have a higher median and a wider IQR. What can you conclude?

Accepted Answer

Smokers have higher cholesterol and more variation

Question 13

Which scenario best illustrates the role of variation in data?

Accepted Answer

Test scores in a class range from 50 to 100

Question 14

A segmented bar chart is used to compare the distribution of favorite sports among boys and girls. What does each segment represent?

Accepted Answer

The proportion of each sport within each gender

Question 15

Which of the following is a quantitative variable?

Accepted Answer

Number of books read in a month

Question 16

A researcher wants to compare the distribution of ages in two different cities. Which graphical method is most appropriate?

Accepted Answer

Side-by-side boxplots

Question 17

If a data set has a mean of 100 and a variance of 25, what is the standard deviation?

Accepted Answer

$$5$$

Question 18

Which of the following statements about outliers is TRUE?

Accepted Answer

Outliers can have a large influence on the mean and standard deviation

Question 19

A dot plot of daily temperatures shows a symmetric distribution. Which measure of center is most appropriate to summarize the data?

Accepted Answer

Mean

Question 20

A conditional distribution is most useful for which type of analysis?

Accepted Answer

Comparing the distribution of one variable within levels of another variable

Foundations of Statistics: Key Concepts and Data Analysis

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