menu
bartleby
search
close search
Hit Return to see all results

H.S Region92888480MWwWNERegion

Question

The question is which box plot has the greatest variability and which box plot has the least variability?

H.S Region
92
88
84
80
MW
wW
NE
Region
help_outline

Image Transcriptionclose

H.S Region 92 88 84 80 MW wW NE Region

fullscreen
check_circleAnswer
Step 1

Basics of a boxplot:

A boxplot is based on the 5-number summary: (Minimum, Q1, Median, Q3, Maximum); Q1 and Q3 are respectively the first and third quartiles.

The lowest* number on the vertical axis, till which the whisker reaches, represents the minimum; the highest* number, till the whisker reaches, represents the maximum.

Of the box, the line/boundary corresponding to the lowest value on the vertical axis, represents Q1; the boundary corresponding to the highest value represents Q3.

The line inside the box represents the median.

The boxplot gives quite a good picture about the central tendency (median), dispersion (range and inter-quartile range), and shape (comparative lengths of the whiskers and relative positions of the median with respect to Q1 and Q3) of the distribution of a dataset. Moreover, it also marks the outliers in the dataset.

 

*If there are outliers, then the whiskers may not reach all the way to the outliers, and these would be marked by a symbol, along the line of the whiskers. In that case, the lowest and highest outliers would represent the minimum and maximum values in the dataset, respectively.

Step 2

Description:

The inter-quartile range or IQR is: IQR = (Q3 – Q1).

It is a simple measure of dispersion or variability in the dataset, which provides the range within which, the middle-most 50% of the observations lie.

Although the IQR is not readily displayed on a boxplot, it can be calculated quite easily, simply by identifying Q1...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The problem is attached in an image!

A: The population mean is provided as 203 for total cholesterol level in 2002 for all the adults. The p...

question_answer

Q: Question 20, problem in photo!

A: The completed table is shown below.

question_answer

Q: Compare the sample mean (3.25) for these drinking data to the population mean (µ = 3.00; σ = 0.75). ...

A: The value for one standard deviation from the population mean is,

question_answer

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed wit...

A: (a)The distribution of X is,Here, X denote the distance in feet for a fly ball.The distribution of X...

question_answer

Q: Which of the following statements about confidence intervals is INCORRECT?       If the confid...

A: Reason for correct statement:If the confidence interval for H0: mu=0 contains 0, it is concluded the...

question_answer

Q: In a previous poll, 29 % of adults with children under the age of 18 reported that their family ate ...

A: Click to see the answer

question_answer

Q: If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often r...

A: Here, the probability of winning a game is 0.4737. if she win the game , then she will get $5.

question_answer

Q: Describe how to write the null and alternative hypotheses based on a claim. Provide at least one exa...

A: In testing of hypothesis, two statements about the population, which are opposite to each other are ...

question_answer

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of ...

Sorry about that. What wasn’t helpful?