Statistics Quizzes for Year 10 Maths: Test Your Skills

Question 1

You flip a coin 50 times and get 25 heads. If you keep flipping the coin, what will happen to the probability of getting heads?

Accepted Answer

It will stay the same.

Answer

It will definitely change.

Answer

It might change slightly.

Answer

It will eventually approach 1.

Question 2

Which of these is a measure of how spread out data is, rather than a measure of its center?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 3

For data that is skewed, with a distribution that is not symmetrical and has a 'tail', which measure of central tendency is most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 4

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Mode

Answer

Median

Question 5

Which of these is a measure of how spread out a dataset is, rather than a measure of its central value?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 6

Which graphical representation displays the distribution of data using stems and leaves of each data value?

Accepted Answer

Stem-and-leaf plot

Answer

Scatter plot

Answer

Histogram

Answer

Ogive

Question 7

A company wants to evaluate the effectiveness of a new advertising campaign. They have sales data from before and after the campaign launch. Which statistical test is most suitable for this purpose?

Accepted Answer

t-test

Answer

ANOVA

Answer

Chi-squared test

Answer

Correlation

Question 8

In a survey of 100 people, the average age was 30 years. If a person aged 80 is included in the survey, what becomes the new mean age?

Accepted Answer

31 years

Answer

29 years

Answer

30 years

Question 9

When a scatter plot reveals a positive correlation between two variables, what does this indicate?

Accepted Answer

As one variable increases, the other variable generally increases as well.

Answer

As one variable increases, the other variable generally decreases.

Answer

There is no apparent relationship between the two variables.

Question 10

Which type of chart is most appropriate for representing categorical data with frequencies?

Accepted Answer

Bar chart

Answer

Line chart

Answer

Scatter plot

Question 11

If a histogram exhibits a leftward skew, what does this suggest about the distribution?

Accepted Answer

The majority of data is concentrated towards the lower end of the distribution.

Answer

The majority of data is concentrated towards the higher end of the distribution.

Answer

The distribution is symmetrical.

Question 12

Which method is NOT used for collecting data?

Accepted Answer

Estimation

Answer

Survey

Answer

Experiment

Answer

Observation

Question 13

Which of the following variables is categorical?

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Income

Question 14

What is the key difference between a biased and an unbiased sample?

Accepted Answer

Unbiased samples accurately represent the population, while biased samples do not.

Answer

Biased samples accurately represent the population, while unbiased samples do not.

Answer

Both samples accurately represent the population.

Answer

Neither sample accurately represents the population.

Question 15

A bag contains 5 red, 3 blue, and 2 green balls. What is the probability of randomly selecting a blue ball?

Accepted Answer

3/10

Answer

1/5

Answer

1/2

Question 16

Which of the following is a valid interpretation of a correlation coefficient of -0.7?

Accepted Answer

There is a strong negative relationship between the variables.

Answer

There is a strong positive relationship between the variables.

Answer

There is a weak negative relationship between the variables.

Question 17

Which of the following is an example of a discrete random variable?

Accepted Answer

Number of siblings

Answer

Height

Answer

Weight

Answer

Time taken to complete a task

Question 18

The mode of the dataset {1, 2, 3, 3, 4} is:

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 19

Which of the following representations is most appropriate for displaying a small dataset?

Accepted Answer

Pie chart

Answer

Bar chart

Answer

Histogram

Answer

Scatter plot

Question 20

A bag contains 5 red balls and 3 blue balls. If a ball is drawn randomly from the bag, what is the probability of drawing a red or blue ball?

Accepted Answer

1/2

Answer

1/3

Answer

2/5

Question 21

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability of drawing a red marble?

Accepted Answer

1/5

Answer

1/2

Answer

2/5

Answer

3/10

Question 22

A scatter plot shows a positive correlation between two variables. What does this mean?

Accepted Answer

As one variable increases, the other variable tends to increase as well.

Answer

As one variable decreases, the other variable tends to decrease as well.

Answer

There is no relationship between the two variables.

Question 23

A researcher wants to estimate the average height of students in a school. Which of the following sample sizes would likely provide the most precise estimate?

Accepted Answer

200 students

Answer

50 students

Answer

100 students

Question 24

Which type of graph is most appropriate for displaying the distribution of continuous data?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Scatter plot

Question 25

The mean age of a group of students is 15 years, while the median age is 14 years. Which of the following is a possible explanation?

Accepted Answer

There are more students who are younger

Answer

There are more students who are older

Answer

The ages of the students are evenly distributed

Question 26

A survey conducted among 120 students found that 75% of them enjoy reading. How many students enjoy reading?

Accepted Answer

90

Answer

60

Answer

75

Answer

120

Question 27

In an experiment investigating the effect of different fertilizers on plant growth, the type of fertilizer used is considered the:

Accepted Answer

Independent variable

Answer

Dependent variable

Answer

Controlled variable

Answer

Extraneous variable

Question 28

Which measure of central tendency is least affected by extreme values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 29

A confidence interval for a population mean has a margin of error of 5%. Determine the corresponding level of confidence.

Accepted Answer

95%

Answer

99%

Answer

90%

Answer

80%

Question 30

In hypothesis testing, what is the assumption made about the population parameter in the null hypothesis?

Accepted Answer

The hypothesis that there is no effect or difference

Answer

The hypothesis that there is an effect or difference

Answer

The hypothesis that the sample is representative

Question 31

A survey found that 50% of students prefer online learning, 30% prefer in-person learning, and 20% prefer a combination of both. What percentage of students prefer a combination of online and in-person learning?

Accepted Answer

20%

Answer

10%

Answer

40%

Answer

30%

Question 32

Find the mode of the following data set: 3, 5, 5, 7, 7, 9, 11

Accepted Answer

5, 7

Answer

9

Answer

11

Answer

3

Question 33

Which of the following should be considered when choosing an appropriate data representation method?

Accepted Answer

Type of data

Answer

Personal preference

Answer

Age of the audience

Answer

Color scheme

Question 34

Which of the following statistical measures represents the typical value of a dataset?

Accepted Answer

Mean

Answer

Standard deviation

Answer

Correlation

Answer

Range

Question 35

In a fair six-sided die, what is the probability of rolling an odd number?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

1/6

Question 36

Calculate the mean of the following set of numbers: 4, 6, 8, 10

Accepted Answer

7

Answer

11

Answer

12

Answer

9

Question 37

Identify the mode of the following set of numbers: 2, 2, 3, 4, 5

Accepted Answer

2

Answer

4

Answer

3

Answer

5

Question 38

Which measure of central tendency is most appropriate for a skewed distribution, where data values are not evenly spread out?

Accepted Answer

Median

Answer

Range

Answer

Mode

Answer

Mean

Question 39

A survey on student heights resulted in a mean height of 165 cm and a median height of 168 cm. What can be concluded about the distribution of the data?

Accepted Answer

The distribution is positively skewed, with more students having heights above the mean.

Answer

The distribution is symmetrical, with heights evenly distributed around the mean.

Answer

The distribution is bimodal, with two distinct clusters of heights.

Answer

The distribution is negatively skewed, with more students having heights below the mean.

Question 40

Which of the following is NOT a method of data collection used in statistical studies?

Accepted Answer

Debate

Answer

Questionnaire

Answer

Observation

Answer

Interview

Question 41

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

Accepted Answer

1/4

Answer

1/3

Answer

1/6

Answer

1/2

Question 42

What is a potential limitation of using a random sample in statistical studies?

Accepted Answer

The sample may not accurately represent the entire population due to sampling error.

Answer

Random sampling is more time-consuming than other sampling methods.

Answer

Random samples are always smaller than the population.

Question 43

What is the main difference between a population and a sample in statistics?

Accepted Answer

A population is the entire group of individuals under investigation, while a sample is a subset of that population selected for study.

Answer

A population is always larger than a sample.

Answer

Samples are more accurate than populations.

Question 44

Which characteristic describes a normal distribution?

Accepted Answer

It is symmetric, bell-shaped, and has a single peak.

Answer

It is skewed to one side.

Answer

It is flat and has no distinct shape.

Answer

It has multiple modes.

Question 45

A scatter plot shows a negative correlation between two variables. What does this indicate?

Accepted Answer

As one variable increases, the other variable tends to decrease.

Answer

As one variable increases, the other variable also increases.

Answer

There is no relationship between the two variables.

Question 46

Which measure of central tendency is unaffected by extreme values in a dataset?

Accepted Answer

Median

Answer

Standard deviation

Answer

Mean

Answer

Mode

Question 47

A survey of 100 students showed that their average height was 165 cm with a standard deviation of 5 cm. Which of the following is correct?

Accepted Answer

Approximately 68% of the students' heights fall within 68% of the students' heights fall within 160cm and 170cm.

Answer

The shortest student was exactly 165 cm tall.

Answer

The tallest student was exactly 170 cm tall.

Question 48

Which of the following probability distributions is symmetrical around its mean?

Accepted Answer

Normal distribution

Answer

Poisson distribution

Answer

Binomial distribution

Answer

Exponential distribution

Question 49

Which of the following is a type of sampling bias that occurs when individuals have a higher probability of being included in a sample than others?

Accepted Answer

Selection bias

Answer

Response bias

Answer

Information bias

Answer

Non-response bias

Question 50

Which of the following is true about a random sample selected from a population?

Accepted Answer

Every individual in the population has an equal chance of being selected.

Answer

It is a sample in which every individual is known to the researcher.

Answer

It is a sample in which individuals are selected in a specific order.

Answer

It is a sample in which the researcher selects individuals based on their convenience.

Question 51

A researcher wants to test the hypothesis that the mean scores of two groups, Group A and Group B, are significantly different. Which statistical test would be appropriate?

Accepted Answer

Independent samples t-test

Answer

Chi-square test

Answer

One-way ANOVA

Answer

Mann-Whitney U test

Question 52

Which condition must be met for a correlation coefficient to be a valid measure of linear association between two variables?

Accepted Answer

The data points should be approximately evenly distributed on a scatter plot.

Answer

The data points should be clustered in a specific area of a scatter plot.

Answer

The data points should form a perfect straight line on a scatter plot.

Question 53

What is the average (mean) of the numbers 5, 7, 9, 11, and 13?

Accepted Answer

9

Answer

10

Answer

8

Question 54

If you roll a fair six-sided die, what is the chance of getting a 6?

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 55

What is the difference between the biggest and smallest number (range) in the set: 10, 12, 14, 16, 18?

Accepted Answer

8

Answer

15

Answer

10

Answer

5

Question 56

Which of these is NOT a way to find the 'typical' value in a set of data?

Accepted Answer

Range

Answer

Mode

Answer

Mean

Answer

Median

Question 57

In a school of 100 students, 60 students use social media daily. What is the probability that a randomly chosen student uses social media daily?

Accepted Answer

0.6

Answer

0.5

Answer

0.7

Answer

0.4

Question 58

Which of these describes the shape of a normal distribution?

Accepted Answer

Bell-shaped curve

Answer

Uniform distribution

Answer

Bimodal distribution

Answer

Skewed distribution

Question 59

What is the difference between the upper quartile and the lower quartile (interquartile range, or IQR) for the data: 5, 7, 9, 11, 13, 15, 17?

Accepted Answer

6

Answer

8

Answer

4

Question 60

What is the average (mean) of these numbers: 10, 12, 14, 16, 18?

Accepted Answer

14

Answer

16

Answer

12

Answer

18

Question 61

Which of these is NOT a way to describe the 'center' of a set of data?

Accepted Answer

Standard deviation

Answer

Median

Answer

Mode

Answer

Mean

Question 62

If you roll a standard six-sided die, what is the chance of getting an even number?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Question 63

Which of these describes something you can't measure with numbers?

Accepted Answer

Eye color

Answer

Age

Answer

Height

Question 64

In the set of numbers: 10, 12, 14, 14, 16, which number appears most often?

Accepted Answer

14

Answer

10

Answer

12

Answer

16