Question

find the mode marks from the following data below 10 15 below 20 45 below 30 90 below 40 102 below 50 120

Answer 1

Answer:

Mode = 28.1

Step-by-step explanation:

marks     frequency

0-10           15

10-20          30

20-30         45

30-40         12

40-50          18

Modal class is (20-30) [ modal class means the class which holds the highest frequency]

Highest frequency denoted by f1. Previous frequency of f1 is denoted by f0 and the next frequency of f1 is denoted by f2.

corresponding class of frequency 45 is 20--30. In class 20--30, the lowest number is 20 which is denoted by L1.

interval = ( 30 - 20) = 10

here, the interval is denoted by i.

L1=20

f1=45  

f0=30  

f2=12  

i=10

mode = L1 + [ { (  f1 - f0 ) /( 2f1 - f0 - f2 ) } × h ]

          =20+[ { ( 45-30 ) / ( 90-30-12 ) } × 10 ]

           =28.1