Activity- statistics problems

From Karnataka Open Educational Resources

Problem 1

If n =10,   = 12 and
 

INTERPRETATION OF PROBLEM

Previous knowledge

Solution:

 

 

 

 
σ= 
σ= 
σ= 
σ= 
σ= 
σ=3

Problem 2

Problem No.1 of excercise No.6.1
Find the Standard deviation for the following data.

x 03 08 13 18 23
f 07 10 15 10 08

INTERPRETATION OF PROBLEM

Previous knowledge

Solution:

x f fx fx²
03 07 021 009 0063
08 10 080 064 0640
13 15 195 169 2535
18 10 180 324 3240
23 08 184 529 4232
n=50 Σfx=660 Σfx²=10710


Standard deviation σ= 
σ= 
σ= 
σ= 
σ=6.3

Problem 3

Problem No.5 of excercise No.6.3
Find the varience and Standard deviation for the following data.

class intervals(CI) 30-34 34-38 38-42 42-46 46-50 50-54
freequency(f) 04 07 09 11 06 03

INTERPRETATION OF PROBLEM

Previous knowledge

Solution:

C.I. f x fx d=  fd fd²
30-34 4 32 128 -2 -8 4 16
34-38 7 36 252 -1 -7 1 7
38-42 9 40 360 0 0 0 0
42-46 11 44 484 1 11 1 11
46-50 6 48 288 2 12 4 24
50-54 3 52 156 3 9 9 27
n=40 Σfx=1668 Σfd=17 Σfd²=85

A=assumed average.
c=4
d= = = 

assumed mean A= = 

Varience σ²=[ 

σ²=[ 

σ²=[2.125-0.180]16

σ²=[1.945]16

σ²=31.12
standard deviation, σ= 
σ= 
σ=5.58