Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Question

asked Mar 18, 2023 57.0k views

1 Answer

Cwd · Answer 1 · 2023-03-24T07:15:38+0000

Answer:

13, 11, 4, 16, 6, 22

Explanation:

Let the second digit be x and the last digit be y

Given:

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

$\implies \text{Mean of data:} \ (13 + x + 4 + 16 + 6 + y)/(6) = 12$

Let us substitute the value of y (2x) in the data.

$\implies (13 + x + 4 + 16 + 6 + 2x)/(6) = 12$

Now, add all the terms in the data and simplify.

$\implies (39 + x +2x)/(6) = 12$

$\implies (39 + 3x)/(6) = 12$

Distribute the denominators and simplify.

$\implies (39)/(6) + (3x)/(6) = 12$

$\implies (13)/(2) + (x)/(2) = 12$

$\implies 6.5 + (x)/(2) = 12$

Subtract 6.5 both sides and simplify.

$\implies 6.5 + (x)/(2) - 6.5 = 12 - 6.5$

$\implies (x)/(2) = 5.5$

Use cross multiplication and simplify.

$\implies x= 5.5 * 2$

$\implies x= 11$

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

$\implies y = 2x$

$\implies y = 2(11)$

$\implies y = 22$

When the x and y values are substituted in the data, we get;

Therefore, the data is 13, 11, 4, 16, 6, 22.