Statistics and Probability Quizzes for Tenth Grade Math

Question 1

Which of these is NOT a measure of the center of a data set?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Question 2

Which of the following is **not** a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 3

Distinguish between a population and a sample.

Accepted Answer

A population is a large group of individuals, while a sample is a smaller group representing the larger population.

Answer

A sample is larger than a population.

Answer

A population is always diverse.

Answer

A sample is always biased.

Question 4

What is the probability of rolling a 6 on a standard six-sided die?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 5

A histogram is a graphical representation of a:

Accepted Answer

Frequency distribution

Answer

Probability distribution

Answer

Cumulative distribution

Answer

Normal distribution

Question 6

Which type of graph is most appropriate for visualizing the **frequency distribution** of a data set?

Accepted Answer

Histogram

Answer

Bar graph

Answer

Pie chart

Answer

Scatter plot

Question 7

Which of the following is a **quantitative** random variable?

Accepted Answer

The height of a person

Answer

The number of heads when flipping a coin

Answer

The date of birth

Answer

The boiling point of water

Question 8

Which of the following is NOT a type of **probability** sampling method?

Accepted Answer

Convenience sampling

Answer

Simple random sampling

Answer

Stratified sampling

Answer

Quota sampling

Question 9

The standard deviation of a data set is a measure of:

Accepted Answer

Data **variability**

Answer

Central tendency

Answer

Data distribution

Answer

Data skewness

Question 10

In hypothesis testing, the null hypothesis typically states that:

Accepted Answer

The new teaching method is **not** effective.

Answer

The new teaching method is effective.

Answer

The new teaching method is more effective than the old method.

Answer

The new teaching method is less effective than the old method.

Question 11

The probability of drawing a red card from a deck of 52 cards is:

Accepted Answer

1/52

Answer

1/4

Answer

1/13

Answer

1/26

Question 12

A histogram is a graphical representation of a data set that shows:

Accepted Answer

The frequency of values

Answer

The cumulative frequency of values

Answer

The mean and standard deviation of the data set

Answer

The probability of different outcomes

Question 13

Which of the following is a measure of central tendency that represents the average value of a set of data?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 14

A group of students is interested in studying the relationship between study time and test scores. Which of the following is the independent variable in this study?

Accepted Answer

Study time

Answer

Test scores

Answer

Gender

Answer

Age

Question 15

In a statistical test, the p-value is the:

Accepted Answer

Probability of obtaining the results that were obtained, assuming the null hypothesis is true.

Answer

Probability of obtaining the results that were obtained, assuming the alternative hypothesis is true.

Answer

Probability of rejecting the null hypothesis.

Answer

Probability of accepting the null hypothesis.

Question 16

Which of the following is a measure of dispersion?

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Standard error

Question 17

Which measure of central tendency represents the value that occurs most often in a data set?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 18

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

Accepted Answer

68.2%

Answer

34.1%

Answer

50.0%

Answer

95.4%

Question 19

What is the main purpose of a confidence interval in statistical inference?

Accepted Answer

To estimate the population parameter with a known level of certainty

Answer

To predict the outcome of future events

Answer

To test the significance of a difference between two groups

Answer

To determine the probability of a particular event occurring

Question 20

What does the correlation coefficient measure?

Accepted Answer

The strength and direction of the linear relationship between two variables

Answer

The difference between two means

Answer

The probability of two events occurring together

Answer

The standard deviation of a data set

Question 21

What is the distinction between a statistic and a parameter?

Accepted Answer

A statistic is a measure of the sample, while a parameter is a measure of the population

Answer

A parameter is a measure of the sample, while a statistic is a measure of the population

Answer

A statistic is a number that describes a sample, while a parameter is a number that describes a population

Answer

A parameter is a number that describes a sample, while a statistic is a number that describes a population

Question 22

A company surveyed 100 customers and found that the average age of the customers was 35 years. What is the population in this study?

Accepted Answer

All customers of the company

Answer

The 100 customers surveyed

Answer

The people living in the town where the company is located

Answer

The people living in the state where the company is located

Question 23

Which of the following is a limitation of statistical inference?

Accepted Answer

It cannot be used to prove causality.

Answer

It can only be used to make predictions about the future.

Answer

It can only be used to analyze quantitative data.

Answer

It can only be used to analyze data from large samples.

Question 24

A farmer has 100 acres of land. He plants corn on 60% of his land and soybeans on the remaining land. How many acres of land does he plant soybeans on?

Accepted Answer

40

Answer

60

Answer

20

Question 25

When data is skewed, which measure of central tendency is most appropriate to use?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 26

Which measure quantifies the spread or variability of data?

Accepted Answer

Standard deviation

Answer

Median

Answer

Mean

Question 27

Which limitation is associated with surveys as a data collection method?

Accepted Answer

Response bias

Answer

Time efficiency

Answer

Cost-effectiveness

Answer

Large sample size

Question 28

In hypothesis testing, what does the null hypothesis typically state?

Accepted Answer

There is no significant difference between the groups.

Answer

The mean of the first group is greater than the mean of the second group.

Answer

There is a significant difference between the groups.

Answer

The median of the first group is less than the median of the second group.

Question 29

Which of the following is NOT a measure of central tendency, indicating the middle value of a dataset?

Accepted Answer

Range

Answer

Mode

Answer

Mean

Answer

Median

Question 30

Which of the following methods is NOT a type of sampling method, where researchers select participants based on their availability and convenience?

Accepted Answer

Convenience sampling

Answer

Stratified sampling

Answer

Random sampling

Answer

Cluster sampling

Question 31

Which of the following is a limitation of statistics, acknowledging its potential.

Accepted Answer

Statistics cannot prove a cause-and-effect relationship between variables

Answer

Statistics cannot be used to make predictions about the future

Answer

Statistics cannot be used to summarize and describe data

Question 32

A researcher wants to find the average height of students in a school. What type of data is the researcher collecting?

Accepted Answer

Quantitative

Answer

Qualitative

Answer

Categorical

Answer

Ordinal

Question 33

A bag has 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of picking a blue marble?

Accepted Answer

3/10

Answer

1/2

Answer

1/3

Answer

1/5

Question 34

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

Accepted Answer

Mean

Answer

Mode

Answer

Range

Answer

Median

Question 35

A dataset has a mean of 10 and a standard deviation of 2. What is the z-score for a data point of 14?

Accepted Answer

2

Answer

4

Answer

0.5

Answer

1

Question 36

A coin is flipped 10 times. What is the probability of getting exactly 5 heads?

Accepted Answer

252/1024

Answer

1/2

Answer

1/1024

Answer

1/10

Question 37

A survey is done to find out students' favorite colors in a school. Which type of graph would best show this data?

Accepted Answer

Bar Graph

Answer

Scatter Plot

Answer

Line Graph

Answer

Pie Chart

Question 38

A group of 20 students is chosen from a school of 1000 students. This is an example of:

Accepted Answer

Random Sampling

Answer

Stratified Sampling

Answer

Systematic Sampling

Answer

Convenience Sampling

Question 39

Two events are independent if:

Accepted Answer

The outcome of one event doesn't affect the probability of the other event happening.

Answer

They cannot happen at the same time.

Answer

They have the same probability.

Question 40

What is the range of the following data set: 5, 12, 8, 15, 2?

Accepted Answer

13

Answer

5

Answer

15

Answer

8

Question 41

A box has 10 red balls and 5 blue balls. If you pick two balls without putting the first one back, what is the probability that both balls are red?

Accepted Answer

3/7

Answer

1/2

Answer

1/3

Answer

2/3