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# Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer

**Solution:**

The value of mean, mode and median of grouped data can be the same also and depends on the type of data provided.

Therefore, the statement is false.

**✦ Try This: **When a die is thrown, the probability of getting an odd number less than 5 is

A die has the shape of a cube with six faces

Each face is marked as 1, 2, 3, 4, 5, and 6 dots

We know that

Odd number is the number which is not divisible by 2

Odd numbers = 3 {1, 3, 5}

Odd numbers less than 5 = 2 {1, 3}

Total outcome = 6 {1, 2, 3, 4, 5, 6}

So the probability of getting an odd number which is less than 5 = Number of favourable outcomes/ Total outcomes

Substituting the values

= 2/6

= 1/3

Therefore, the probability of getting an odd number less than 5 is 1/3.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.2 ****Problem 3**

## Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer

**Summary:**

The statement “Is it true to say that the mean, mode and median of grouped data will always be different” is false

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