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Mean, Median and Mode Quiz - CBSE Class 6 Mathematics

Free practice quiz: Mean, Median and Mode (CBSE Class 6 Mathematics). 10 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 10 multiple-choice questions on Mean, Median and Mode, and 10 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 shares the total equally among all the observations.
  • Add all the observations, then divide the sum by how many observations there are.
Mean
\[\text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}\]
Mean of a, b, c
\[\text{Mean} = \frac{a + b + c}{3}\]

Common mistake: Dividing by the largest number, or by the wrong count. Always divide by how many observations there are.

Median: the middle value

  • First arrange the data in increasing order. The median is the value exactly in the middle.
  • If the count is odd, one value is in the middle. If even, take the mean of the two middle values.
Odd number of observations
\[\text{Median} = \text{the middle observation after arranging in order}\]
Even number of observations, middle values a and b
\[\text{Median} = \frac{a + b}{2}\]

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

Mode: the most frequent value

  • The mode is the observation that occurs the greatest number of times.
  • Count how often each value appears. The value with the highest count is the mode.
Mode
\[\text{Mode} = \text{observation with the highest frequency}\]

Common mistake: Giving the frequency (how many times it appears) as the answer instead of the value itself.

Mode works for non-number data

  • The mode can be found even for things like colours, fruits or names, not only numbers.
  • The item that appears most often is the mode. The mean and median need numbers.

Common mistake: Writing the count instead of the item. If pens appear most often, the mode is pens, not the number of pens.

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 numbers 4, 8, 6, and 10?

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    Answer: B. 7

    To find the mean, sum the numbers (4 + 8 + 6 + 10 = 28) and divide by the count of numbers (4). Mean = 28 / 4 = 7.

  2. Find the median of the set of numbers: 3, 5, 1, 9, 7.

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    Answer: B. 5

    First, arrange the numbers in ascending order: 1, 3, 5, 7, 9. The median is the middle number, which is 5.

  3. The ages of a group of friends are: 12, 15, 15, 10, 13. What is the mode of their ages?

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    Answer: C. 15

    The ages are 12, 15, 15, 10, 13. Here, age 15 appears most frequently, which is 2 times.

  4. In a basket, there are 2 apples, 3 oranges, and 5 bananas. What is the mode of the fruits in the basket?

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    Answer: C. Bananas

    In this case, bananas are the most common fruit, occurring 5 times compared to other fruits.

  5. In a data set {5, 10, 15, 15, 20, 20, 20, 25}, what is the mode?

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    Answer: B. 20

    20 is the most frequent number in this data set, appearing 3 times, making it the mode.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. What is the mode of the numbers 7, 9, 7, 10, 7, 8?
  2. In a set of numbers {12, 15, 12, 18, 21}, what is the mode?
  3. Find the mode in the data set: 45, 55, 45, 45, 60, 70, 60.
  4. A store sells notebooks at Rs. 20, Rs. 25, Rs. 20, Rs. 30, and Rs. 25. What is the median price?
  5. In a class, the grades of the students are 55, 60, 65, 70 and 70. What is the mode of the grades?

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