Question

If a variable assumes the values 1,2,3...5 with frequencies as 1, 2,3...5, then what is the arithmetic mean

Answer 1

Answer:

the answer is 7

it very easy to solve

Answer 2

Answer:

The arithmetic mean of the given data calculated is $3.66$.

Step-by-step explanation:

Given data,

Values ( $x_{i}$ )       Frequency ( $f_{i}$ )

$1$                                 $1$

$2$                                $2$

$3$                                $3$

$4$                                $4$

$5$                                $5$

The arithmetic mean of the given data =?

As we can see, the data given above is grouped data.

For the grouped data:

• Arithmetic mean = $\frac{\sum f_{i}x_{i} }{\sum f_{i} }$

We have to make a table to find the value of $f_{i} x_{i}$:

Values ( $x_{i}$ )       Frequency ( $f_{i}$ )           $f_{i} x_{i}$

$1$                               $1$                                $1$

$2$                              $2$                                $4$

$3$                              $3$                                $9$

$4$                              $4$                                $16$

$5$                              $5$                                $25$

                         $\sum f_{i} = 15$                     $\sum f_{i} x_{i} = 55$

After putting the calculated values in the above-mentioned formula of mean, we get:

• Arithmetic mean = $\frac{\sum f_{i}x_{i} }{\sum f_{i} }$
• Arithmetic mean = $\frac{55 }{15 }$ = $3.66$

Hence, the arithmetic mean of the given data measured is $3.66$.