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# Size of Sweater Number of Sweaters

40 15

42 17

44 13

46 14

48 11

Total 70

In the above table (a) The most popular size is 17. (b) 17 is the median for above data.

State whether the statement is true or false.

**Solution:**

(a) Given, the most popular size is 17.

We have to determine if the given statement is true or false.

From the table,

17 is the number of sweaters sold

42 is the most popular size

17 is not the __mode__ but 42 is the mode

Therefore, the given statement is false.

(b) Given, 17 is the __median__ for above __data__

We have to determine if the given statement is true or false.

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

Arranging the data in __ascending order__, we get

11, 13, 14, 15, 17

Number of observations, n = 5

If n is odd, then median = (n + 1)/2 th term

Median = (5 + 1)/2 th term

= 6/2 th term

= 3rd term

3rd term = 14

The median is 14.

Therefore, the given statement is false.

**✦ Try This: **The mean of first 10 whole numbers is 10. State whether the statement is true or false

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 3

**NCERT Exemplar Class 7 Maths Chapter 3 Sample Problem 7**

## In the above table (a) The most popular size is 17. (b) 17 is the median for above data. State whether the statement is true or false.

**Summary:**

The given statements,”The most popular size is 17” and “17 is the median for the above data” are false.

**☛ Related Questions:**

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