Question

The midian and mode of a data are 33 and 45 respectively.then its mean is

Answer 1

Answer:

Step-by-step explanation:

Ans

Answer 2

The value of the mean is 27.

Given:

The median of a data = 33

The mode of data = 45

To find:

The value of the mean needs to be determined.

Solution:

Mean: The mean is obtained by dividing the sum of the given numbers by the total number of numbers.

Knowing the formula that, Mean-Mode = 3×(Mean-Median).

It can also be written as Mode = 3×Median-2Mean.

Putting the value of median = 33, and mode = 45 the value of the mean can be determined.

⇒ Mean-45 = 3×(Mean-33)

⇒ Mean-45 = 3×Mean-3×33

⇒ Mean-45 = 3Mean-99

⇒ Mean-3Mean = -99+45

Taking mean as common.

⇒ Mean×(1-3) = -54

⇒ -2Mean = -54

Canceling the negative sign on both sides.

⇒ Mean = $\frac{54}{2}$ = 27

Therefore, the value of the mean is 27.

To learn more about the mean visit:

https://brainly.in/question/7748058?referrer=searchResults

https://brainly.in/question/15925444?referrer=searchResult

#SPJ3