Question

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​

Answer 1

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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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Answer 2

Answer:

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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 :)

━━━━━━━━━━━━━━━━━━━━━━━━━