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marysya [2.9K]
2 years ago
10

Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor

k out the value of x
Mathematics
1 answer:
LenKa [72]2 years ago
3 0

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359
+3x

Isolate the variable x.

5640-4359
=3x

1281
=3x

Divide both sides by 3.

\dfrac{1281}{3}
=x

427
=x

Therefore, the value of x is 427.

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