The weights (in kg) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

(i) Find the mode and median of this data.

(ii) Is there more than one mode?

(i) Here,

According to the question,

At first,

We’ll arrange the weight in an ascending order as follows:

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

Now,

We know that,

Mode is termed as that value of observation which occurs for the maximum number of times.

And,

Median of any data is known as the middle observation when that data is arranged in ascending or descending order.

Now,

As we know that,

There are total 15 observations

Hence,

Median =

= th term

= 8^{th} term

Thus,

Median = 40

And,

We can observe that,

38 and 43 both the observations occurs the maximum number of times which is three times.

Hence,

We get,

Mode of the given data = 38 and 43

(ii) Here,

We are asked,

If there is one or more than one mode in the given data

Hence,

We can observe that,

There is more than one mode.

And

There are two modes in the given data.

The two modes are 38 and 43

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