Question

Calculate the missing frequency from the following data, when the mean is 33.
X: 5 , 15 , 25 , 35 , 45 , 55
F: 5 , 10 , 25 , 30 , ? , 10
No inappropriate answers ​

Answer 1

and the answer of this question is 20

Answer 2

The given question is we have to calculate the missing frequency from the following.

The given data is

X: 5 , 15 , 25 , 35 , 45 , 55

Y: 5 , 10 , 25 , 30 , ? , 10

The mean of the above data.

we have to find the value of the missing frequency.

The mean of a data set is defined as the sum of all values divided by the total number of values.

It was often referred to as average.

mean is simply calculated as the sum the means of all your samples and divide by the number of means.

It is used to represent the typical values .

it is a yardstick for all the observations.

let assume a missing frequency be k.

The formula to find the mean is

Mean=Σfixi/Σfi,

fi= frequency

xi=class

Σ fixi = 5(5) +15(10) +25(25) +35(30) +45k+55(10)

=25+150+625+1050+550+45k

=2400+45k

Σ fi= 5+10+25+30+10+k

=80+k

On substituting the values we get,

mean= 33.

$\frac{2400 + 45k}{80 + k} = 33 \\ 2400 + 45k = 33(80 + k) \\ 2400 + 45k = 2640 + 33k \\ 45k - 33k = 2640 - 2400 \\ 12 k= 240 \\ k = \frac{240}{12} \\ = 20$

Therefore, the obtained value k is 20.

Hence, the missing frequency is 20.

# spj2

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