Question

Find the mean and mode of following data:
21, 45, 87, 18, 85, 78, 45, 26, 33, 42, 58, 71

Answer 1

Answer:

50.75

Step-by-step explanation:

21+45+87+18+85+78+45+26+33+42+58+71 / 12

= 609 / 12

= 50.75

Answer 2

Given:

The data:

21, 45, 87, 18, 85, 78, 45, 26, 33, 42, 58, 71

What To Find:

We have to find the mean and mode.

Solution:

• Finding the mean.

To find the mean,

⇒ $\sf{ \dfrac{Add \: all \: numbers}{Number \: of \: values}}$

Substitute the values,

⇒ $\sf{ \dfrac{21 + 45 + 87 + 18 + 85 + 78 + 45 + 26 + 33 + 42 + 58 + 71}{12}}$

Add the numbers in the numerator,

⇒ $\sf{\dfrac{609}{12}}$

Divide 609 by 12,

⇒ 50.75

∴ Hence, the mean is 50.75.

• Finding the mode

To find the mode,

Step 1: Arrange the date in asscending or descending order.

Step 2: Then, find the most occured number.

Arrange the data,

⇒ 18, 21, 26, 33, 42, 45, 45, 58, 71, 78, 87

Find the number which has occured more than one,

⇒ 18, 21, 26, 33, 42, 45, 45, 58, 71, 78, 87

Here 45 is the mode,

⇒ 45

∴ Hence, the mode is 45.