Question

mean of the first 10 whole numbers and first 10 natural numbers Is in the ratio of​

Answer 1

Answer:

1:1

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Answer 2

Step-by-step explanation:

Given :-

First 10 Natural numbers and first 10 Whole numbers

To find :-

The ratio of the mean of the first 10 Whole numbers and first 10 Natural numbers.

Solution :-

First 10 Natural numbers = 1,2,3,4,5,6,7,8,9,10

We know that

Mean = Sum of observations / Number of observations

Mean of the first 10 Natural numbers

= (1+2+3+4+5+6+7+8+9+10)/10

= 55/10

= 11/2

= 5.5

Mean of the first 10 Natural numbers = 5.5

and

First 10 Whole numbers = 0,1,2,3,4,5,6,7,8,9

We know that

Mean = Sum of observations / Number of observations

Mean of the first 10 Whole numbers

= (0+1+2+3+4+5+6+7+8+9)/10

= 45/10

= 9/2

= 4.5

Mean of the first 10 whole numbers = 4.5

The ratio of the mean of the first 10 Whole numbers and the mean of the first 10 Natural numbers= 4.5:5.5

=> 4.5/5.5

=> (45/10)/(55/10)

=> (45/10)×(10/55)

=> (45×10)/(10×55)

=> 45/55

=> 9/11

=> 9:11

The required ratio = 9:11

Answer:-

The ratio of the mean of the first 10 Whole numbers and the mean of the first 10 Natural numbers= 9:11

Used formulae:-

→ Mean = Sum of observations / Number of observations

→ a:b can be written as a/b

→ 1,2,3... are the Natural numbers

→ 0,1,2... are the Whole numbers