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Median Quiz - CBSE Class 9 Mathematics

Free practice quiz: Median (CBSE Class 9 Mathematics). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 9 Mathematics practice quiz has 12 multiple-choice questions on Median, and 12 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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Meaning of the median

The median is the middle value of data arranged in ascending or descending order.
Half the observations lie on or below it, and half lie on or above it.

Arrange data in order first

\[x_1 \le x_2 \le x_3 \le \dots \le x_n\]

Common mistake: Picking the middle number of the list as it is given, without first arranging the data in order.

Median when n is odd

Count the number of observations n. If n is odd, there is exactly one middle value.
That single middle observation, after ordering, is the median.

Median for odd n

\[\text{Median} = \left(\frac{n+1}{2}\right)^{\text{th}} \text{ observation}\]

Common mistake: Using n/2 as the position for odd n. This does not give a whole number, so the true middle term is missed.

Median when n is even

If n is even, there are two middle values after arranging the data in order.
The median is the average of these two middle values, so it may not be one of the data values.

Median for even n

\[\text{Median} = \frac{\left(\frac{n}{2}\right)^{\text{th}} \text{ obs.} + \left(\frac{n}{2}+1\right)^{\text{th}} \text{ obs.}}{2}\]

Common mistake: Choosing only one of the two middle values instead of adding both and dividing by two.

Exam tips

Count the observations n first and decide whether n is odd or even.
Cross off one value from each end repeatedly to locate the middle quickly.
Write the median as a value from the data, not its position number.

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

Sample questions

What is the median of the following set of numbers: 3, 1, 4, 2, 5?
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Answer: B. 3
To find the median, first arrange the numbers in ascending order: 1, 2, 3, 4, 5. The median is the middle number, which is 3.
In the set of numbers 10, 20, 30, 40, 50, what is the median?
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Answer: B. 30
Arrange the numbers in order (already sorted): 10, 20, 30, 40, 50. The middle value is 30, as it is the third number in a set of five.
Determine the median of these numbers: 25, 30, 35, 40, 45, 50.
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Answer: B. 37.5
Numbers arranged in order: 25, 30, 35, 40, 45, 50. The median is the average of 35 and 40, giving (35 + 40) / 2 = 37.5.
What is the median of the test scores: 85, 90, 95, 80, 75?
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Answer: A. 85
Sort the scores: 75, 80, 85, 90, 95. The median is the middle number, which is 85.
If the ages are 60, 62, 65, 68, 70, what is the median?
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Answer: A. 65
Ordered: 60, 62, 65, 68, 70. The median, the middle value, is 65.

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