Statistics for Year 10 Maths: Online Quizzes and Learning Resources

Question 1

Which of the following is a measure of spread, not a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 2

Which measure of central tendency represents the typical value of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 3

Which of the following is NOT a measure of central tendency?

Accepted Answer

Standard Deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 4

Which of these measures the spread of a dataset?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 5

What is a measure of central tendency?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 6

Which measure of central tendency is least impacted by extreme values in a data set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 7

You have a dataset of test scores that is heavily skewed towards the lower scores. Which measure of central tendency would be most suitable to use in this case?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Standard deviation

Question 8

What type of graph is best suited to show the distribution of a categorical variable?

Accepted Answer

Bar chart

Answer

Histogram

Answer

Line graph

Answer

Scatterplot

Question 9

When analyzing a dataset that might have outliers, which measure of central tendency is most suitable for identifying the typical value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 10

Which type of data is most appropriate to display in a scatterplot?

Accepted Answer

Continuous and continuous

Answer

Categorical and categorical

Answer

Categorical and continuous

Answer

Discrete and continuous

Question 11

What is the main purpose of using the range to measure spread?

Accepted Answer

To determine the variability of the data.

Answer

To find the most frequent value in a dataset.

Answer

To find the average value in a dataset.

Answer

To determine the shape of a distribution.

Question 12

Which of the following is NOT a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 13

In a set of numbers arranged in ascending order, which value represents the middle value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 14

What statistical measure represents the 'typical' value in a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 15

Which of these measures the center of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 16

In a scatterplot, each point shows the values of two variables for a single data point. What's the main reason for using a scatterplot?

Accepted Answer

To show the connection between two numerical variables

Answer

To group data into categories

Answer

To show how often data values appear

Answer

To compare the values of two variables for different groups

Question 17

A dataset contains many moderate values and a few extreme values. Which measure of central tendency is most affected by the extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 18

Which of the following is NOT a measure of central tendency in statistics?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 19

When interpreting the results of a survey, what is the most crucial factor for a researcher to consider?

Accepted Answer

Understanding the context and implications of the findings

Answer

Presenting the results visually

Answer

Using technical statistical terms

Answer

Reporting only statistically significant results

Question 20

What is the range of possible values for the correlation coefficient?

Accepted Answer

-1 to 1

Answer

-0.5 to 0.5

Answer

0 to 1

Answer

-2 to 2

Question 21

When calculating the median of a data set with an even number of values, which step should you take?

Accepted Answer

Average the two middle values

Answer

Subtract the smallest value from the largest value and divide by 2

Answer

Find the value that occurs most frequently

Answer

Arrange the data set in ascending order and select the middle value

Question 22

What is the term for the value that appears most often in a data set?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Question 23

In a data set, the median is the value that:

Accepted Answer

Divides the data into two equal parts when arranged in order

Answer

Appears most frequently in the data set

Answer

Is calculated by adding all data values and dividing by the number of values

Answer

Represents the difference between the largest and smallest values in the data set

Question 24

In a scatterplot with a strong positive correlation, how are the points arranged around the line of best fit?

Accepted Answer

Grouped near the line of best fit

Answer

Spread evenly around the line of best fit

Answer

Scattered randomly around the line of best fit

Answer

Grouped near the y-axis

Question 25

Which sampling method guarantees that each individual in the population has an equal opportunity to be chosen?

Accepted Answer

Simple random sampling

Answer

Systematic sampling

Answer

Stratified sampling

Answer

Convenience sampling

Question 26

In probability, what concept describes the likelihood of an event happening?

Accepted Answer

Probability

Answer

Frequency

Answer

Range

Answer

Mean

Question 27

In a survey of 100 students, the average height was 160 cm and the middle height was 162 cm. Which of the following is most likely true?

Accepted Answer

The data is skewed towards taller heights.

Answer

The data is skewed towards shorter heights.

Answer

The data is evenly spread out.

Question 28

In a frequency table displaying student test scores, the intervals are [0-10), [10-20), [20-30), and so on. What does the entry in the row labeled '[40-50)' represent?

Accepted Answer

The number of students who scored between 40 and 49 (inclusive).

Answer

The number of students who scored exactly 40.

Answer

The number of students who scored 50 or more.

Question 29

Which measure in a data set shows the difference between the highest and lowest values?

Accepted Answer

Range

Answer

Mean

Answer

Standard Deviation

Question 30

In a dataset, the median is the middle value when the data is arranged in ascending order. How can you find the median of a dataset with an even number of data points?

Accepted Answer

Add the two middle values and divide by 2

Answer

Add the highest and lowest values and divide by 2

Answer

Divide the sum of all values by the number of values

Answer

Select the most frequently occurring value

Question 31

Which of these is NOT a measure used to find the 'average' value of a dataset?

Accepted Answer

Standard Deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 32

In a dataset with extreme values, which measure of central tendency best represents the typical value? Justify your choice.

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Standard deviation

Question 33

In a frequency table, what do the class intervals represent?

Accepted Answer

The ranges of values into which the data is grouped.

Answer

The individual data values that were collected.

Answer

The frequency of occurrence for each data value.

Answer

The total number of data points in the table.

Question 34

Which of the following is a measure of how spread out the data is, rather than a measure of the middle of the data?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 35

In a scatterplot, the points form a straight line and generally rise as the values of both variables increase. What type of correlation does this show?

Accepted Answer

Positive correlation

Answer

Negative correlation

Answer

No correlation

Answer

Curvilinear correlation

Question 36

Which measure of central tendency is **least** impacted by extreme values, or outliers, in a data set?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 37

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 38

In a linear regression model predicting sales based on advertising budget, what does the slope of the regression line indicate?

Accepted Answer

The average number of units sold for each dollar spent on advertising.

Answer

The maximum sales that can be achieved for any advertising budget.

Answer

The total amount spent on advertising for a specific number of units sold.

Question 39

In hypothesis testing, what is the primary function of the null hypothesis?

Accepted Answer

To serve as a reference point for comparison

Answer

To establish the claim that will be tested

Answer

To support the alternative hypothesis

Answer

To simplify statistical calculations

Question 40

In statistics, how do samples differ from populations?

Accepted Answer

A sample is a smaller group taken from a larger population.

Answer

A population is a smaller group within a larger sample.

Answer

Samples and populations are different ways of collecting data.

Question 41

When interpreting a correlation coefficient, what does a value close to 1 or -1 suggest?

Accepted Answer

A strong correlation

Answer

A weak or no correlation

Answer

A moderate correlation

Question 42

In data analysis, what does it mean for a difference between two sets of data to be statistically significant?

Accepted Answer

It means the difference is unlikely to have occurred by chance.

Answer

It means the difference is likely to have occurred by chance.

Question 43

What is the appropriate measure of central tendency for data that can only be classified into categories?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Standard deviation

Question 44

A bag contains 20 marbles, of which 8 are blue. If you draw a single marble without replacement, what is the probability of drawing a blue marble?

Accepted Answer

0.25

Answer

0.5

Answer

0.75

Answer

1

Question 45

Which graphical representation is most suitable for displaying the variability of a dataset?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Pie chart

Answer

Scatterplot

Question 46

A correlation coefficient of -0.85 suggests:

Accepted Answer

A strong negative relationship

Answer

A weak negative relationship

Answer

A moderate negative relationship

Answer

A moderate positive relationship

Question 47

In a hypothesis test, a p-value of 0.1 indicates:

Accepted Answer

The null hypothesis cannot be rejected.

Answer

The null hypothesis must be rejected.

Answer

The alternative hypothesis must be rejected.

Answer

The alternative hypothesis cannot be rejected.

Question 48

What is sampling bias and how can it impact the accuracy of statistical findings?

Accepted Answer

Sampling bias occurs when a sample is not randomly selected, potentially leading to inaccurate conclusions about the entire population.

Answer

Sampling bias refers to the margin of error in a statistical study.

Answer

Sampling bias is a type of statistical error caused by data collection methods.

Answer

Sampling bias has no effect on the validity of statistical conclusions.

Question 49

Which statistical measure describes the spread of data, indicating its variability?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Range

Question 50

A dataset with a mean of 10 and a standard deviation of 2 has what percentage of data within one standard deviation of the mean?

Accepted Answer

68%

Answer

38%

Answer

95%

Answer

99%

Question 51

In a survey of 120 students, 60% prefer chocolate ice cream. How many students like chocolate ice cream?

Accepted Answer

72

Answer

48

Answer

60

Answer

84

Question 52

In the statistical process, what is NOT a step?

Accepted Answer

Data prediction

Answer

Data collection

Answer

Data analysis

Answer

Inference making

Question 53

A correlation coefficient of -0.75 indicates what?

Accepted Answer

Strong negative relationship

Answer

Strong positive relationship

Answer

Weak negative relationship

Answer

No relationship

Question 54

In hypothesis testing, what is the null hypothesis?

Accepted Answer

Groups are the same

Answer

Groups are different

Answer

Difference is significant

Answer

Difference is not significant

Question 55

To compare two teaching methods, which data collection method is most appropriate?

Accepted Answer

Randomized controlled trial

Answer

Observational study

Answer

Case study

Answer

Survey

Question 56

If we calculate a 95% confidence interval, what are we 95% sure of?

Accepted Answer

The true average of the whole population falls within this interval.

Answer

95% of the data we collected falls within this interval.

Answer

The true average of the whole population is definitely equal to the average of our sample.

Answer

The average of our sample falls within this interval.

Question 57

In a data set with a skewed distribution, which measure of central tendency best represents the typical value?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 58

In a contingency table, what's the main reason for calculating the expected frequency for a specific cell?

Accepted Answer

To compare the observed frequency with the expected frequency and assess the statistical significance of any differences.

Answer

To determine the probability of observing a particular combination of values in the contingency table.

Answer

To adjust observed frequencies for sampling errors or biases.

Question 59

Which type of graph is most suitable for showing the distribution of a data set?

Accepted Answer

Histogram

Answer

Scatter plot

Answer

Bar graph

Answer

Pie chart

Question 60

Which of the following is a measure of the spread or variability of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 61

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

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 62

What is the key difference between a positive and a negative correlation in statistics?

Accepted Answer

Positive correlations indicate a direct relationship, while negative correlations indicate an inverse relationship

Answer

Positive correlations indicate an inverse relationship, while negative correlations indicate a direct relationship

Answer

There is no difference between positive and negative correlations

Answer

Positive correlations indicate a stronger relationship than negative correlations

Question 63

Which measure of central tendency is most significantly impacted by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 64

In a statistical test, the null hypothesis represents:

Accepted Answer

The hypothesis that there is no significant difference between the groups being compared

Answer

The hypothesis that the data is statistically significant

Answer

The hypothesis that the data is normally distributed

Answer

The hypothesis that the correlation coefficient is zero