Question

If the values of median and mode are 42 and 47 respectively, the
value of Arthmatic mean can be :
Select one:
O a. 38.5
O b. 45
O
O c. 39.5
O d. 52​

Answer 1

Required Answer:-

When any two of the measure of central tendency:

• Mean
• Median
• Mode

Is provided to us, we can use the empirical relation between them to find the third one. The relation is:

$\cdot{\large{ \underline{ \boxed{ \sf{3median - 2mean = mode}}}}}$

Plugging the values of Median and Mode in the above formula to find the mode:

⇒ 3 × 42 - 2 × mean = 47

⇒ 2 × mean = 126 - 47

⇒ 2 × mean = 79

⇒ mean = 79 / 2

⇒ mean = 39.5

Hence:-

The mean of the given data is 39.5 (C)

Answer 2

Question:-

If the values of median and mode are 42 and 47 respectively, the value of Arthmatic mean can be :

Select one:

• a. 38.5
• b. 45
• c. 39.5
• d. 52

Given:-

• median and mode are 42 and 47

To Find :-

• value of Arthmatic mean

Solution:-

• Option C

Explanation:-

When Mean, Median and Mode is given than we can use the empirical relation between them find the third one. The relation is :-

3median - 2mean = mode

Putting the values in the above formula

= 3 × 42 - 2 × mean = 47

= 2 × mean = 126 - 47

= 2 × mean = 79

= Mean = 79/2

= Mean = 39.5

Hence, Option c is correct :)

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