Year 10 edexcel mock statistics

Question 1

What is the mean of a data set?

Answer 1

The mean is the average of all the numbers in the data set.

Question 2

How do you calculate the median?

Answer 2

The median is the middle value when the data set is ordered from least to greatest.

Question 3

True or False: The mode is the number that appears most frequently in a data set.

Answer 3

True

Question 4

What is the range of a data set?

Answer 4

The range is the difference between the highest and lowest values in the data set.

Question 5

Fill in the blank: The _____ is a measure of how spread out the values in a data set are.

Answer 5

standard deviation

Question 6

What does a box plot represent?

Answer 6

A box plot represents the distribution of a data set based on five summary statistics: minimum, first quartile, median, third quartile, and maximum.

Question 7

What is a histogram used for?

Answer 7

A histogram is used to represent the frequency distribution of numerical data.

Question 8

What are outliers?

Answer 8

Outliers are data points that significantly differ from the other observations in a data set.

Question 9

True or False: A higher standard deviation indicates that the data points are closer to the mean.

Answer 9

False

Question 10

What is the purpose of a scatter plot?

Answer 10

A scatter plot is used to determine the relationship between two variables.

Question 11

Fill in the blank: The _____ is the value that separates the highest 25% of data from the rest.

Answer 11

third quartile

Question 12

What is the difference between qualitative and quantitative data?

Answer 12

Qualitative data describes characteristics, while quantitative data represents numerical values.

Question 13

What does a positive correlation indicate?

Answer 13

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Question 14

What is a sample in statistics?

Answer 14

A sample is a subset of a population used to represent the whole population.

Question 15

True or False: Random sampling ensures that every member of the population has an equal chance of being selected.

Answer 15

True

Question 16

What is the formula for calculating the variance?

Answer 16

Variance is calculated by taking the average of the squared differences from the mean.

Question 17

Fill in the blank: The _____ is the middle value in a data set when it is ordered.

Answer 17

median

Question 18

What is a frequency table?

Answer 18

A frequency table displays the number of occurrences of each value in a data set.

Question 19

What is the purpose of inferential statistics?

Answer 19

Inferential statistics is used to make predictions or generalizations about a population based on a sample.

Question 20

True or False: A line graph can be used to display categorical data.

Answer 20

False

Question 21

What does the term ‘normal distribution’ refer to?

Answer 21

Normal distribution refers to a probability distribution that is symmetric about the mean.

Question 22

What is the significance of the 68-95-99.7 rule?

Answer 22

The 68-95-99.7 rule states that in a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

Question 23

What is a null hypothesis?

Answer 23

A null hypothesis is a statement that there is no effect or no difference, used as a starting point for statistical testing.

Question 24

Fill in the blank: The _____ is used to test the strength of a hypothesis.

Answer 24

p-value

Question 25

What is the difference between descriptive and inferential statistics?

Answer 25

Descriptive statistics summarize data, while inferential statistics use data to make predictions about a population.

Question 26

True or False: A bar chart is an effective way to show trends over time.

Answer 26

False

Question 27

What does a probability of 0.5 indicate?

Answer 27

A probability of 0.5 indicates an equal chance of an event occurring or not occurring.

Question 28

What is the purpose of a control group in an experiment?

Answer 28

A control group is used as a baseline to compare the effects of the treatment in the experimental group.

Question 29

Fill in the blank: The _____ of a distribution shows how many standard deviations a data point is from the mean.

Answer 29

z-score

Question 30

What is the Central Limit Theorem?

Answer 30

The Central Limit Theorem states that the distribution of the sample mean approaches a normal distribution as the sample size increases.

Question 31

What is the difference between a parameter and a statistic?

Answer 31

A parameter is a numerical summary of a population, while a statistic is a numerical summary of a sample.

Question 32

True or False: A larger sample size generally leads to more reliable results.

Answer 32

True

Question 33

What is a confidence interval?

Answer 33

A confidence interval is a range of values that is likely to contain the population parameter with a specified level of confidence.

Question 34

Fill in the blank: The _____ is the average of the squared differences from the mean.

Answer 34

variance

Question 35

What is the significance of the standard error?

Answer 35

The standard error measures the accuracy with which a sample represents a population.

Question 36

What role does randomness play in statistics?

Answer 36

Randomness helps to eliminate bias and ensures that the sample is representative of the population.

Question 37

What is a skewed distribution?

Answer 37

A skewed distribution is one where the data is not symmetrical and may lean towards one side.