/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 3.159 We have provided simple data set... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

We have provided simple data sets for you to practice finding the descriptive measures discussed in this section. For each data set.

Obtain the quartiles, determine the inter quartile range, find the five-number summary.

1,2,3,4

Short Answer

Expert verified

The value of Least value is=1,

The value of first quartile is 1.5, The value of second quartile is 2.5, The value of third quartile is3.5

The value of Highest value is 4And The value of Inter quartile is2

And Boxplots is given below

Step by step solution

01

Given information

We have been given that

1,2,3,4

Now we find quartiles, inter quartiles and five number summary

02

Explanation

The known data is arranged in ascending order is,

1,2,3,4

The least value, also known as the minimum, is a descriptive statistics that represents the smallest

Number within the data set,

So, Least value=1

The lower quartiles, also known as Q1is a deceptive statistics that represents the number in the

Middle of the lower half of the data set,

So, Q1=1.5

The median, also known as Q2, is a deceptive statistics that represents the number in the middle

Of all the data within the data set,

Medianlocalid="1650966128608" ⇒Q2=2.5

The upper quartile, also known asQ3, is deceptive statistics that represents the number in the

Upper half of the data set,

So, Q3=3.5

The upper extreme, also known as the maximum, is a descriptive statistics that represent the

Largest number within the data set.

Highest value=4

03

Find Inter quartile and draw boxplots

The range of values that resides in the middle of the scores,
Interquartile=Q3-Q1

⇒3.5-1.5=2

Now we draw a Boxplots,

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Women Students. The US Department of Education sponsors a report on educational institutions, including colleges and universities, titled Digest of Education Statistics. Among many of the statistics provided are the numbers of men and women enrolled in 2yearand 4yeardegree-granting institutions. During one year, the percentage of full-time enrolled students that were women, for each of the 50states and the District of Columbia, is as presented on the WeissStats site.

a. obtain and interpret the quartiles.

b. determine and interpret the interquartile range.

e. find and interpret the five-number summary

d. identify potential outliers, if any.

e. obtain and interpret boxplot.

Obesity. Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group 1. composed of 37patients, was put on a program of dieting with exercise. Group 2. composed of 36patients, dieted only. The results for weight loss, in pounds, after 2months are summarized in the following boxplots. The top boxplot is for Group 1. and the bottom boxplot is for Group 2. Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.

High School Completion. As reported by the US Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on the Weiss Stats site.

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5,6,7,1,2,3,4,5,6,7

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5,6

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.