Measures of dispersion variationa measure of dispersion is, Ask an Expert

Statistics

Measures of Dispersion (Variation)

A measure of dispersion is to measure the spread among values of observations in a data set. There are three commonly used measures of dispersion: variance, range and standard deviation.

Range

Range is the easiest measure of dispersion. It is the difference amongst the largest and the smallest value of observations in a data set.

Range = Largest value -Smallest value

Example

Calculate the range of the following data:

Students Exam marks

A 80

B 67

C 44

D 57

E 92

F 79

Solution:

= 92 - 44 = 48

The range is very easy to compute, but because it depends only on the largest and the smallest values, it is not as useful as the other measures of the variation which use every value.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9504481

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A carnival game involves a spinner that is designed so that

A carnival game involves a spinner that is designed so that in 20 percent of spins the player will win a prize. A random sample of 100 spins will be observed and the random variable X = number of times in the sample that ...

6year 8 coupon bond with semi annual payments par value

6 year, 8% coupon bond with semi annual payments, Par Value = $1000. 1) Find out price of the bond if YTM = 10%. 2) What happens to the bond price if YTM decreases 1 basis point? 3) Is the effect of 1 basis point decreas ...

Your supervisor comes to you and says she would like a

Your supervisor comes to you and says she would like a marketing research study. She says there is a budget of $30,000. She would like to conduct a simple random sample of consumers interested in using the services of th ...

The number of cell phones per 100 residents in countries in

The number of cell phones per 100 residents in countries in Europe is given in table 9.3.9 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in table 9.3.10 also for the ...

How do you calculate true population proportion if your

How Do you calculate true population proportion if your defective sample is too small? For example, if you have 50 and defect is 4. Please look below for more details.

Data collected over a long period of time showed that a

Data collected over a long period of time showed that a particular genetic defect occurs in 1 of every 1000 children. Let X be the random variable "number of children with genetic defect in a sample of 50,000 children ex ...

Why is it that some people make very high returns on the

Why is it that some people make very high returns on the stock market if it is so efficient? Is it more difficult to reconcile very high returns with efficient markets if the same people make extraordinary returns year a ...

Determine the sample size needed to construct a 90

Determine the sample size needed to construct a 90?% confidence interval to estimate the average GPA for the student population at a college with a margin of error equal to 0.5. Assume the standard deviation of the GPA f ...

Sixty-seven percent of adults have looked at their credit

Sixty-seven percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 20 of them have looked at their score in the past six months?

A school district is trying to estimate the proportion of

A school district is trying to estimate the proportion of students at the high school who would eat a school breakfast if the cafeteria were opened to students at 6 am. A new employer opened up within the district and th ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert