Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
- Make the table of 3 columns .
- Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.
- Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.
- Find the sum of f - column and fx - column separately.
- Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.
✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
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