Asked Sep 8, 2019

Describe the three measures of variability; the range, variance, and standard deviation.  Explain the impact of outliers on measures of variability.


Expert Answer

Step 1

In statistics, there are four measure of variability of distribution that measures the spread in the data set.

The four measure of variability as given below:

  1. Range
  2. Inter-quartile range
  3. Variance
  4. Standard deviation
Step 2

Range: range is the difference between highest value and lowest value in the data set.

Variance :Population variance is the measure of variability of the data that is how far away our data points from the average value.

Population variance can be calculated as below:


Image Transcriptionclose

- Σ-η whereas aPopulation vari ance N Sample size. u Populati on mean

Step 3

Standard deviation:  it is the square root of variance of the data set that is square root of average squared distan...


Image Transcriptionclose

Σ&-Η. whereas Standard deviation N Sample size u Population mean


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: A researcher wants to test to see if husbands are significantly older than their wives. To do this, ...

A: The aim is to find the accurate statement from the following options to evaluate the population mean...


Q: 3. Explain the differences between categorical and qualitative data. Provide examples.

A: Categorical or qualitative data are both the same thing. Both are non-numerical data. Either you say...


Q: A marketing manager for a cell phone company claims that more than 55% of children aged 8-12 have ce...

A: Null and alternative hypotheses:Here, to check whether more than 55% of children aged 8-12 have cell...


Q: A particular country has 50 total states. If the areas of 35 states are added and the sum is divided...

A: It is given that the total number of states in a particular country is 50. The result “211,839” is t...


Q: Jamie owns a house painting service. For each house, she charges $70 plus $40 per hour of work. A li...

A: Independent and dependent variables in regression:In a simple regression, the variable of interest, ...


Q: number 18 on attached photo

A: Note:Hi! Thanks for posting the question. As your question has more than 3 parts, we have solved the...


Q: a survey found that 21% of Americans watch fireworks on television on July 4.  Find the mean, varian...

A: According to the given question, a survey found that 21% of Americans watch fireworks on television ...


Q: Do larger universities tend to have more property crime? University crime statistics are affected by...

A: (a) Scatter diagram of the data:The least-squares regression line is the best fitted to the given da...


Q: Red snapper is a rare and expensive reef fish served at upscale restaurants. Federal law prohibits r...

A: There are only two possible outcomes when you order red snapper - you either get red snapper or the ...