Question

33. Find the mode of the following frequency distribution.
Classes
0-10 10-20 20-30 30-40 40-50
Frequency
1 5 1 8 | 15 | 20 | 14
(or)
...5/04
C =50° and
*.25, then​

Answer 1

Answer:

Mode = 34.545.

Step-by-step explanation:

We are provided with the following frequency distribution;

            Classes                          Frequency

              0-10                                   15

              10-20                                  18

              20-30                                 15

             30-40                                  20

             40-50                                  14  

Firstly from the above data w observe that the highest frequency is 20 and the class interval corresponding to this is 30-40;                                                         So the modal class is 30-40.

Now, formula for calculating mode is given by;

              Mode = $x_L + \frac{f_m - f_m_-_1}{(f_m - f_m_-_1)+(f_m -f_m_+_1)} *i$

 where,      $x_L$ = Lower limit of modal class.

                   $f_m$ = Frequency of modal class.

                 $f_m_-_1$ = Frequency just before the frequency of modal class.

                 $f_m_+_1$ = Frequency just after the frequency of modal class.

                    i  =  width of class interval

         Mode = $30 + \frac{20 - 15}{(20 - 15)+(20 -14)} *10$ = 34.545.

Hence, mode of the following frequency distribution is 34.545.

Note: I am not able to understand the or question as it seems incomplete so hope the first part helps you.