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Middle School Statistics & Probability Essentials

Statistics & Probability

This set of questions tests foundational knowledge in statistics and probability aligned with middle school curricula, covering concepts like data representation, measures of central tendency, and basic probability.

statistics probability data analysis middle school math
18 Questions Medium Ages 11+ Aug 30, 2026

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About this Study Set

This study set covers Statistics & Probability through 18 practice questions. This set of questions tests foundational knowledge in statistics and probability aligned with middle school curricula, covering concepts like data representation, measures of central tendency, and basic probability. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 18 questions from the Middle School Statistics & Probability Essentials study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 Which type of graph is most appropriate for displaying the relationship between two numerical variables, such as the height of a plant and the amount of sunlight it receives?
  • A Bar graph
  • B Pie chart
  • C Histogram
  • D Scatter plot
2 In a set of numbers, what is the median?
  • A The number that appears most frequently
  • B The sum of all numbers divided by the count of numbers
  • C The middle value when the numbers are arranged in order
  • D The difference between the largest and smallest numbers
3 If you roll a standard six-sided die, what is the probability of rolling a number greater than 4?
  • A 1/6
  • B 2/6
  • C 3/6
  • D 4/6
4 A survey asks 100 students their favorite colour. 40 chose blue, 30 chose red, 20 chose green, and 10 chose yellow. Which colour is the mode of this data set?
  • A Red
  • B Blue
  • C Green
  • D Yellow
5 What does the range of a data set represent?
  • A The average value of the data
  • B The most frequent value in the data
  • C The difference between the highest and lowest values
  • D The number of data points
6 If an event is impossible, what is its probability?
  • A 1
  • B 0.5
  • C 0
  • D Cannot be determined
7 Which of the following best describes a histogram?
  • A A graph used to compare discrete categories
  • B A graph showing parts of a whole
  • C A graph showing the frequency distribution of continuous numerical data
  • D A graph illustrating the relationship between two variables
8 If you flip a fair coin twice, what is the probability of getting two heads?
  • A 1/2
  • B 1/4
  • C 3/4
  • D 1
9 What is the mean of the following set of numbers: 5, 10, 15, 20?
  • A 10
  • B 12.5
  • C 15
  • D 20
10 When drawing a single card from a standard deck of 52 playing cards, what is the probability of drawing a King?
  • A 1/13
  • B 4/52
  • C 1/52
  • D 4/13
11 Which measure of central tendency is most affected by outliers (extremely high or low values)?
  • A Median
  • B Mode
  • C Mean
  • D Range
12 A bag contains 3 red marbles and 7 blue marbles. If you pick one marble at random, what is the probability of picking a red marble?
  • A 3/10
  • B 7/10
  • C 3/7
  • D 1/3
13 What does a probability of 1 indicate for an event?
  • A The event is impossible
  • B The event is unlikely
  • C The event is certain to happen
  • D The event has a 50/50 chance
14 A pie chart is best used to represent:
  • A The trend of data over time
  • B The frequency of numerical data in intervals
  • C The comparison of discrete, independent categories as parts of a whole
  • D The relationship between two numerical variables
15 If a data set has an even number of observations, the median is calculated by:
  • A Taking the average of the two middle values
  • B Taking the first of the two middle values
  • C Taking the second of the two middle values
  • D Finding the most frequent value
16 What is the probability of an event that is certain to occur?
  • A 0
  • B 0.5
  • C 1
  • D Cannot be determined
17 Which of the following is NOT a measure of central tendency?
  • A Mean
  • B Median
  • C Mode
  • D Standard Deviation
18 If you are selecting one item from a group of 5 identical items, what is the probability of selecting any specific item?
  • A 0
  • B 1/5
  • C 1/4
  • D 1
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