Range Variance
Introduction to range variance:
Introduction to range variance:
In general, Range means the value we obtained as a result of difference between a greater value and a smaller value.
The variance of a random variable or distribution is the expectation, or mean, of the deviation squared of that variable from its expected value or mean. ( Source - Wikipedia )
In this article of range variance, we are going to discuss about range and variance of the data set.
Understand surface area of a pyramid is always challenging for me but thanks to all math websites to help me out,
click here to see
Range of a Data Set:
Steps involved to find range:
Step 1: First arrange the numbers from ascending order to descending order.
Step 2: Identify the larger value in the given data
Step 3: Identify the smaller value in the given data
Step 4: Find the difference between larger and smaller value.
Example problems:
Example 1:
Find the range for the following data set:
{ 45 , 15 , 16 , 25 , 10 }
Solution:
Range = larger value - smaller value
= 45 - 10
= 35
Example 2:
Find the range for the following data set:
{ 21 , 30 , 19 , 32 , 36 }
Solution:
Range = larger value - smaller value
= 36 - 19
= 17
Practice problems:
1) Find the range for the following data set:
{ 23 , 15 , 20 , 31 , 44 }
2) Find the range for the following data set:
{ 10 , 56, 29, 56 , 34}
Answer key:
1) 29 2) 46
Variance of a Data Set:
Steps involved to find Variance:
Step 1: Mean:Find the average or mean value of the given set of data.
Step 2: Variance:To find the variance, get each difference from the mean value and square the each value and finally
average the result.
Example problem:
Find the variance of the following data set:
{ 40, 20, 30, 50 }
Solution:
Step 1: Mean
Mean = ' ( 40 + 20 + 30 + 50 ) / 4'
= ' 140 / 4'
= 35
Step 2: Variance
Variance = '( (40-35)^2 + (20-35)^2 + (30- 35)^2 + (50-35)^2 )/4'
= '( (5)^2 + (-15)^2 + (-5)^2 + (15)^2 )/4'
= '(25+225+25+225)/4'
= '500/4'
= 125
Practice problems:
1) Find the variance of the data set: { 40, 25, 20, 47, 63 }
Answer: Variance = 239.6
2) Find the variance of the data set: { 33, 46, 57, 25 }
Answer: Variance = 149.69
3) Find the variance of the data set: { 66, 26, 96, 79 }
Answer: Variance = 666.69
by: Omkar Nayak
Quotation Plugin | Tips On Using The Wordpress Quotation Plugin To Generate Inquiries Specialist Curbing Urological Diseases Appreciate Bangalore Excellent Vacation Memories Ultrasonic Way Of Blind Cleaning Best Placements Provided By Some Of The Best Mba Institutes Finest Of Brands Are Here To Cater To All Your Needs 3 Reasons To Take A Second Look At Riverside Payroll Companies Features Of Dedicated Server Hosting Calculating Perimeters Appreciate Bangalore Awesome Vacation Memories Dangerously Closer - A Book Youll Most Definitely Read Twice What Are Organic Painkillers Implications Of Clinical Pharmacokinetic Studies