Page 139 - Touhpad Ai

MEDIAN: (Frequency Distribution Series):
(Class Interval Series)

Wages f cf 1. Find Cumulative Frequency (cf)
(X)
n
2. Median  th
0 – 100 2 2 = Size of  item
Class 
2
100 – 200 1 3
th
th
= (10/2) item = 5 ITEM
200 – 300 3 6
th
5 item lies in Cumulative Frequency 6
300 – 400 3 9 Hence Median Class = 200 – 300
400 – 500 1 10 3. Apply formula
n
N = 10 − cf
=
Ml + 2 f x i
1
l = 200
1
cf = 3 10 − 3
f = 3 M = 200 + 2 x 100
3
Median = 266.67

Mode

In statistics, the mode is the value that appears most often in a given list of numbers.
Inspection Method
MODE (Individual Series): Inspection Method

Marks
Marks
(Ascending Order)

2 2
Two times Arrange the Data in Ascending Order
5 2

7 3 One time
By Inspection of the Data it is clear that
5 5 the value ‘7’ occurs the most number of
times in the series i.e., 4 times
6 5 Three times

2 5
Hence Mode = 7
5 6 One time

7 7
Four times
3 7

7 7

7 7

Mathematics for AI 137