Question

no. of letters 1-4,4-7,7-10,10-13,13-16,16-19 no. of surnames 6,30,40,16,4,4 find median no. of letters in surnames​

Answer 1

Answer:

Median no. of letters in surnames​ = 8.05 .

Step-by-step explanation:

The given frequency distribution is ;

   No. of letters            f              Cumulative frequency,F

        1 - 4                      6                               6

        4 - 7                     30                             36

        7 - 10                   40                              76

       10 - 13                   16                              92

        13 - 16                   4                               96

        16 - 19                   4                               100

                              ∑ f = 100  

Now, the median formula is given by = $x_L + \frac{\frac{N}{2} - F_L }{f_m} * c$

where, $x_L$ = Lower limit of median class

              N = Total Frequency

            $f_m$  = frequency of median class

            $F_L$ = cumulative frequency of just above the median class frequency

              c = width of median class

So, First we calculate $\frac{N}{2}$ = $\frac{100}{2}$ = 50 .

Here, the cumulative frequency just greater than or equal to 50 is 76.

Hence, the median class is 7 - 10 .

And     $x_L$  =  7

             N =  100

            $f_m$  =  40

            $F_L$  =  36

               c =  3

Putting all these values in median formula we get,

 Median = $7 + \frac{\frac{100}{2} - 36 }{40} * 3$ = 8.05 .

Other links for similar questions;

https://brainly.com/question/8847267

brainly.in/question/2883821

Answer 2

Answer:

hope it helps fsfhjkkhikofbiykvl