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Mean, Median, and Mode Quiz - CBSE Class 7 Mathematics

Free practice quiz: Mean, Median, and Mode (CBSE Class 7 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 15 multiple-choice questions on Mean, Median, and Mode, and 15 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Mean: The Average Value

  • The mean is the sum of all observations divided by the number of observations.
  • If the mean is known, multiply it by the count to get the total sum.
  • Adding the same number k to every value increases the mean by exactly k.
Mean
\[\bar{x} = \frac{x_1 + x_2 + \cdots + x_n}{n}\]
Total sum from mean
\[\text{Sum} = \bar{x} \times n\]
Missing value
\[x = (\bar{x} \times n) - (\text{sum of the other values})\]
Adding k to every value
\[\text{New mean} = \bar{x} + k\]

Common mistake: Dividing by the wrong count, such as forgetting to include the unknown value x when counting how many observations there are.

Median: The Middle Value

  • First arrange the data in ascending or descending order.
  • The median is the middle value. For an even count, average the two middle values.
Odd number of observations
\[\text{Median} = \left(\frac{n+1}{2}\right)^{\text{th}} \text{ observation}\]
Even number of observations
\[\text{Median} = \frac{\left(\frac{n}{2}\right)^{\text{th}} + \left(\frac{n}{2}+1\right)^{\text{th}} \text{ observation}}{2}\]

Common mistake: Picking the middle value without first arranging the data in order.

Mode: The Most Frequent Value

  • The mode is the value that occurs most often in the data.
  • If no value repeats, the data has no mode.
  • A data set can have more than one mode if values tie.
Mode
\[\text{Mode} = \text{observation with the highest frequency}\]

Common mistake: Saying the mode is the largest value, or giving its frequency (how many times it appears) instead of the value itself.

Mean of Consecutive Natural Numbers

  • For the numbers 1 to n, find the sum using the formula, then divide by n.
  • The result equals the average of the first and last numbers.
Sum of first n natural numbers
\[1 + 2 + \cdots + n = \frac{n(n+1)}{2}\]
Mean of first n natural numbers
\[\bar{x} = \frac{n+1}{2}\]

Common mistake: Stopping after finding the sum and forgetting to divide it by n to get the mean.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. What is the mean of the data set: 4, 5, 6, 7, 8?

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    Answer: C. 6

    To find the mean, add up all the numbers and divide by the number of items. (4 + 5 + 6 + 7 + 8) / 5 = 6.

  2. What is the mean of the data set: 10, 20, 30, 40, 50?

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    Answer: A. 30

    Calculate the mean by adding all numbers and dividing by the count: (10 + 20 + 30 + 40 + 50) / 5 = 30.

  3. What is the mode of the data: 2, 4, 4, 4, 6, 8, 10?

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    Answer: B. 4

    The number 4 appears most frequently in the data set; therefore, it is the mode.

  4. Find the mode of the set if there is no repetition: {11, 13, 15, 17}.

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    Answer: D. None

    There is no repetition in this set, hence there is no mode.

  5. A data set is represented as: 10, 12, 14, 16. If an unknown value x is added to make the mean 13, what is x?

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    Answer: D. 18

    Mean becomes: (10 + 12 + 14 + 16 + x) / 5 = 13. Solving gives x = 18.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. Which of the following is the median of the data set: 3, 7, 9, 15, 21?
  2. Find the mode of the data set: 6, 6, 7, 8, 9.
  3. If the mean of 5, 10, 15, 20, x is 15, find the value of x.
  4. Find the median of the following set: 12, 15, 14, 10, 13.
  5. Which of the following sets has the mean as 10: {4, 8, 10, x}?
  6. If the mode of a set is 20, which number most likely appears often in the set?
  7. Find the median of these numbers: 6, 8, 9, 10, 12, 14, 16.
  8. The sum of the first n natural numbers is n(n+1)/2. What is the mean for n=6?
  9. Without calculation, which number must appear more than once for an obvious mode: 2, 4, 6, 8, 8?
  10. If all numbers in a set are increased by 3, how does this affect the mean?

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