Statistics GCSE Maths Quiz
Test your knowledge of the Maths Topic: Statistics, with this quiz.
This quiz consists of 15 questions, including multiple-choice and short-answer questions on the topic of Statistics, for GCSE Maths.
For multiple-choice questions, choose the correct answer. Scroll down to begin the quiz.
Questions
What is the median of the following data set? 5, 8, 12, 14, 17, 19, 21
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Which of the following best describes a stratified sample?
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Which of these measures of central tendency is most affected by extreme values?
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Which graph is best for representing continuous data?
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The standard deviation of a data set measures:
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Find the range of the following data set: 4, 9, 15, 22, 31.
Range = 31 - 4 = 27
The mean of five numbers is 12. If four of the numbers are 10, 14, 8, and 16, find the missing number.
Total sum = 12 × 5 = 60
Sum of known numbers = 10 + 14 + 8 + 16 = 48
Missing number = 60 - 48 = 12
Answer = 12
What is the median of this set of numbers? 23, 45, 56, 12, 34, 67, 89
Arrange in order: 12, 23, 34, 45, 56, 67, 89
Median = 45
In a grouped frequency table, why can't we determine the exact mean?
Because the actual values of the data within each class interval are unknown; we only have grouped data, so we estimate the mean using midpoints.
Describe one advantage and one disadvantage of using a sample instead of a census.
Advantage: A sample is quicker and cheaper to collect.
Disadvantage: It may not be fully representative of the entire population.
A shop records the number of customers per hour: 18, 22, 24, 19, 30, 21, 20. Calculate the mean number of customers per hour.
(18 + 22 + 24 + 19 + 30 + 21 + 20) ÷ 7 = 154 ÷ 7 = 22
A student wants to survey students’ favourite sport. Name one method of random sampling they could use.
Assign each student a number and use a random number generator to select participants.
What does a positively skewed distribution look like?
The majority of data is clustered to the left, with a longer tail on the right.
A box plot shows a large interquartile range. What does this suggest about the data?
The data has a high level of variability or spread.
A set of data has a mean of 50 and a standard deviation of 5. What percentage of data falls within one standard deviation of the mean in a normal distribution?
Approximately 68% of the data falls within one standard deviation of the mean.
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