Page 138 - Touhpad Ai

MEAN (Frequency Distribution Series) Direct Method
Wages m = f fm 1. Find mid values m = (l + l )/2
2
1
(x) (l + l )/2 2. Find fm
2
1
3. Find ∑ fm and ∑ f
0 – 100 50 2 100
4. Apply formula
100 – 200 150 1 150
X = ∑fm = 2500 = 250
200 – 300 250 3 750 ∑f 10
300 – 400 350 3 1050

400 – 500 450 1 450
∑ f = 10 ∑ fm = 2500

Median
In statistics, the median is the middle value in a given list of numbers arranged in ascending or descending order.
To find the median, follow these steps:
u Arrange data in ascending order.
u If odd number of values then, middle one is the median.
u If even number of values then, average of the two middle values.
MEDIAN (Individual Series):

Wages Wages 1. Arrange Data in Ascending Order
(x) (x) 2. Median =
500 100 1  n1 + th
Size of   item
200 200 2  th 2 

100 300 3 = 5 + 1 item
2
rd
300 400 4 = 3 item
= 300
400 500
n = 5

What if there are even number of items. Let us see!
MEDIAN (Individual Series):

Wages Wages 1. Arrange Data in Ascending Order
(X) (Ascending Order) 2. Median =
th
500 100 1 Size of   n1 +  item
200 200 2  th 2 

2
100 300 3 = 6 + 1 item
th
300 400 4 = 3.5 item
rd
th
= 3 item + 4 item = 300 + 400
600 500 2 2
400 600 = 350
N = 6

136 Touchpad Artificial Intelligence - XI