High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 12, Problem 9CT
To determine

To find the minimum, first quartile, median, third quartile and maximum of given data set and then make a box-and-whisker plot of given data set.

Expert Solution & Answer
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Answer to Problem 9CT

Minimum: 13 ,Maximum: 61 ,median is 32.5 ., Q1=22 and Q3=41 .

Explanation of Solution

Given:

The given data set is 41,19,31,13,48,22,61,30,34,37 .

Calculation:

Step 1:

Arrange the data in increasing order -

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 12, Problem 9CT , additional homework tip  1

Step 2: Find the minimum and maximum: Minimum: The least number in data set is called the minimum. Therefore the minimum of the data set is 13

Minimum: 13

Maximum: The greatest number in data set is called maximum. Therefore the maximum of the data set is 61 .

Maximum: 61

Step 3: Find the median.

Median: The median is the middle value in the data set, when data values are arranged in order and it is represented by Q2 . It is the average of two middle elements if the number of data sets are even.

Here the median is 31+342=32.5 .

Step 4: Finding the first quartile and the third quartile- The first quartile is the median of the lower half of the data set when arranged in ascending order.

Therefore, the first quartile is Q1=22

Similarly, thethird quartile is the median of the upper half of the data set when arranged in ascending order.

Therefore, the third quartile is Q3=41

Step 5: Make a box-and-whisker plot for the data set-

A box-and-whisker plot is a graph that represents a set of data along a horizontal line. It consist three parts: a box, extended from first quartile to third quartile and has vertical line through median and two whiskers, the left whisker is extended from minimum to first quartile and the right whisker extended from third quartile to the maximum.

Box-and-Whisker plot

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 12, Problem 9CT , additional homework tip  2

Chapter 12 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 12.1 - Prob. 8PPECh. 12.1 - Prob. 9PPECh. 12.1 - Prob. 10PPECh. 12.1 - Prob. 11PPECh. 12.1 - Prob. 12PPECh. 12.1 - Prob. 13PPECh. 12.1 - Prob. 14PPECh. 12.1 - Prob. 15PPECh. 12.1 - Prob. 16PPECh. 12.1 - Prob. 17PPECh. 12.1 - Prob. 18PPECh. 12.1 - Prob. 19PPECh. 12.1 - Prob. 20PPECh. 12.1 - Prob. 21PPECh. 12.1 - Prob. 22PPECh. 12.1 - Prob. 23PPECh. 12.1 - Prob. 24PPECh. 12.1 - Prob. 25PPECh. 12.1 - Prob. 26PPECh. 12.1 - Prob. 27PPECh. 12.1 - Prob. 28PPECh. 12.1 - Prob. 29PPECh. 12.1 - Prob. 30PPECh. 12.1 - Prob. 31PPECh. 12.1 - Prob. 32PPECh. 12.1 - Prob. 33STPCh. 12.1 - Prob. 34STPCh. 12.1 - Prob. 35STPCh. 12.1 - Prob. 36STPCh. 12.1 - Prob. 37MRCh. 12.1 - Prob. 38MRCh. 12.1 - Prob. 39MRCh. 12.1 - Prob. 40MRCh. 12.1 - Prob. 41MRCh. 12.2 - Prob. 1PCh. 12.2 - Prob. 2PCh. 12.2 - Prob. 3PCh. 12.2 - Prob. 4PCh. 12.2 - Prob. 1LCCh. 12.2 - Prob. 2LCCh. 12.2 - Prob. 3LCCh. 12.2 - Prob. 4LCCh. 12.2 - Prob. 5LCCh. 12.2 - Prob. 6LCCh. 12.2 - Prob. 7PPECh. 12.2 - Prob. 8PPECh. 12.2 - Prob. 9PPECh. 12.2 - Prob. 10PPECh. 12.2 - Prob. 11PPECh. 12.2 - Prob. 12PPECh. 12.2 - Prob. 13PPECh. 12.2 - Prob. 14PPECh. 12.2 - Prob. 15PPECh. 12.2 - Prob. 16PPECh. 12.2 - Prob. 17PPECh. 12.2 - Prob. 18PPECh. 12.2 - Prob. 19PPECh. 12.2 - Prob. 20PPECh. 12.2 - Prob. 21PPECh. 12.2 - Prob. 22PPECh. 12.2 - Prob. 23PPECh. 12.2 - Prob. 24PPECh. 12.2 - Prob. 25PPECh. 12.2 - Prob. 26PPECh. 12.2 - Prob. 27PPECh. 12.2 - Prob. 28PPECh. 12.2 - Prob. 29PPECh. 12.2 - Prob. 30PPECh. 12.2 - Prob. 31PPECh. 12.2 - Prob. 32PPECh. 12.2 - Prob. 33PPECh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37STPCh. 12.2 - Prob. 38MRCh. 12.2 - Prob. 39MRCh. 12.2 - Prob. 40MRCh. 12.2 - Prob. 41MRCh. 12.3 - Prob. 1PCh. 12.3 - Prob. 2PCh. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.3 - Prob. 5PCh. 12.3 - Prob. 1LCCh. 12.3 - Prob. 2LCCh. 12.3 - Prob. 3LCCh. 12.3 - Prob. 4LCCh. 12.3 - Prob. 5LCCh. 12.3 - Prob. 6LCCh. 12.3 - Prob. 7PPECh. 12.3 - Prob. 8PPECh. 12.3 - Prob. 9PPECh. 12.3 - Prob. 10PPECh. 12.3 - Prob. 11PPECh. 12.3 - Prob. 12PPECh. 12.3 - Prob. 13PPECh. 12.3 - Prob. 14PPECh. 12.3 - Prob. 15PPECh. 12.3 - Prob. 16PPECh. 12.3 - Prob. 17PPECh. 12.3 - Prob. 18PPECh. 12.3 - Prob. 19PPECh. 12.3 - Prob. 20PPECh. 12.3 - Prob. 21PPECh. 12.3 - Prob. 22PPECh. 12.3 - Prob. 23PPECh. 12.3 - Prob. 24PPECh. 12.3 - Prob. 25PPECh. 12.3 - Prob. 26PPECh. 12.3 - Prob. 27PPECh. 12.3 - Prob. 28PPECh. 12.3 - Prob. 29PPECh. 12.3 - Prob. 30PPECh. 12.3 - Prob. 1MPCh. 12.3 - Prob. 1CBCh. 12.3 - Prob. 2CBCh. 12.3 - Prob. 3CBCh. 12.3 - Prob. 4CBCh. 12.4 - Prob. 1PCh. 12.4 - Prob. 2PCh. 12.4 - Prob. 3PCh. 12.4 - Prob. 4PCh. 12.4 - Prob. 1LCCh. 12.4 - Prob. 2LCCh. 12.4 - Prob. 3LCCh. 12.4 - Prob. 4LCCh. 12.4 - Prob. 5LCCh. 12.4 - Prob. 6LCCh. 12.4 - Prob. 7LCCh. 12.4 - Prob. 8PPECh. 12.4 - Prob. 9PPECh. 12.4 - Prob. 10PPECh. 12.4 - Prob. 11PPECh. 12.4 - Prob. 12PPECh. 12.4 - Prob. 13PPECh. 12.4 - Prob. 14PPECh. 12.4 - Prob. 15PPECh. 12.4 - Prob. 16PPECh. 12.4 - Prob. 17PPECh. 12.4 - Prob. 18PPECh. 12.4 - Prob. 19PPECh. 12.4 - 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Prob. 7LCCh. 12.6 - Prob. 8LCCh. 12.6 - Prob. 9LCCh. 12.6 - Prob. 10LCCh. 12.6 - Prob. 11PPECh. 12.6 - Prob. 12PPECh. 12.6 - Prob. 13PPECh. 12.6 - Prob. 14PPECh. 12.6 - Prob. 15PPECh. 12.6 - Prob. 16PPECh. 12.6 - Prob. 17PPECh. 12.6 - Prob. 18PPECh. 12.6 - Prob. 19PPECh. 12.6 - Prob. 20PPECh. 12.6 - Prob. 21PPECh. 12.6 - Prob. 22PPECh. 12.6 - Prob. 23PPECh. 12.6 - Prob. 24PPECh. 12.6 - Prob. 25PPECh. 12.6 - Prob. 26PPECh. 12.6 - Prob. 27PPECh. 12.6 - Prob. 28PPECh. 12.6 - Prob. 29PPECh. 12.6 - Prob. 30PPECh. 12.6 - Prob. 31PPECh. 12.6 - Prob. 32PPECh. 12.6 - Prob. 33PPECh. 12.6 - Prob. 34PPECh. 12.6 - Prob. 35PPECh. 12.6 - Prob. 36PPECh. 12.6 - Prob. 37PPECh. 12.6 - Prob. 38PPECh. 12.6 - Prob. 39PPECh. 12.6 - Prob. 40PPECh. 12.6 - Prob. 41PPECh. 12.6 - Prob. 42PPECh. 12.6 - Prob. 43PPECh. 12.6 - Prob. 44PPECh. 12.6 - Prob. 45PPECh. 12.6 - Prob. 46PPECh. 12.6 - Prob. 47PPECh. 12.6 - Prob. 48PPECh. 12.6 - Prob. 49PPECh. 12.6 - Prob. 50PPECh. 12.6 - Prob. 51PPECh. 12.6 - Prob. 52PPECh. 12.6 - Prob. 53PPECh. 12.6 - Prob. 54PPECh. 12.6 - Prob. 55PPECh. 12.6 - Prob. 56PPECh. 12.6 - Prob. 57PPECh. 12.6 - Prob. 58PPECh. 12.6 - Prob. 59PPECh. 12.6 - Prob. 60PPECh. 12.6 - Prob. 61PPECh. 12.6 - Prob. 62PPECh. 12.6 - Prob. 63PPECh. 12.6 - Prob. 64PPECh. 12.6 - Prob. 65PPECh. 12.6 - Prob. 66STPCh. 12.6 - Prob. 67STPCh. 12.6 - Prob. 68STPCh. 12.6 - Prob. 69STPCh. 12.6 - Prob. 70MRCh. 12.6 - Prob. 71MRCh. 12.6 - Prob. 72MRCh. 12.6 - Prob. 73MRCh. 12.6 - Prob. 74MRCh. 12.6 - Prob. 75MRCh. 12.6 - Prob. 76MRCh. 12.6 - Prob. 77MRCh. 12.6 - Prob. 78MRCh. 12.6 - Prob. 79MRCh. 12.6 - Prob. 80MRCh. 12.6 - Prob. 81MRCh. 12.7 - Prob. 1PCh. 12.7 - Prob. 2PCh. 12.7 - Prob. 3PCh. 12.7 - Prob. 4PCh. 12.7 - Prob. 5PCh. 12.7 - Prob. 1LCCh. 12.7 - Prob. 2LCCh. 12.7 - Prob. 3LCCh. 12.7 - Prob. 4LCCh. 12.7 - Prob. 5LCCh. 12.7 - Prob. 6LCCh. 12.7 - Prob. 7LCCh. 12.7 - Prob. 8LCCh. 12.7 - Prob. 9LCCh. 12.7 - Prob. 10PPECh. 12.7 - Prob. 11PPECh. 12.7 - Prob. 12PPECh. 12.7 - Prob. 13PPECh. 12.7 - Prob. 14PPECh. 12.7 - Prob. 15PPECh. 12.7 - Prob. 16PPECh. 12.7 - Prob. 17PPECh. 12.7 - Prob. 18PPECh. 12.7 - Prob. 19PPECh. 12.7 - Prob. 20PPECh. 12.7 - Prob. 21PPECh. 12.7 - Prob. 22PPECh. 12.7 - Prob. 23PPECh. 12.7 - Prob. 24PPECh. 12.7 - Prob. 25PPECh. 12.7 - Prob. 26PPECh. 12.7 - Prob. 27PPECh. 12.7 - Prob. 28PPECh. 12.7 - Prob. 29PPECh. 12.7 - Prob. 30PPECh. 12.7 - Prob. 31PPECh. 12.7 - Prob. 32PPECh. 12.7 - Prob. 33PPECh. 12.7 - Prob. 34PPECh. 12.7 - Prob. 35PPECh. 12.7 - Prob. 36PPECh. 12.7 - Prob. 37PPECh. 12.7 - Prob. 38PPECh. 12.7 - Prob. 39PPECh. 12.7 - Prob. 40PPECh. 12.7 - Prob. 41PPECh. 12.7 - Prob. 42PPECh. 12.7 - Prob. 43PPECh. 12.7 - Prob. 44PPECh. 12.7 - Prob. 45PPECh. 12.7 - Prob. 46PPECh. 12.7 - Prob. 47STPCh. 12.7 - Prob. 48STPCh. 12.7 - Prob. 49STPCh. 12.7 - Prob. 50MRCh. 12.7 - Prob. 51MRCh. 12.7 - Prob. 52MRCh. 12.7 - Prob. 53MRCh. 12.7 - Prob. 54MRCh. 12.7 - Prob. 55MRCh. 12.7 - Prob. 56MRCh. 12.7 - Prob. 57MRCh. 12.7 - Prob. 58MRCh. 12.7 - Prob. 59MRCh. 12.8 - Prob. 1PCh. 12.8 - Prob. 2PCh. 12.8 - Prob. 3PCh. 12.8 - Prob. 4PCh. 12.8 - Prob. 5PCh. 12.8 - Prob. 1LCCh. 12.8 - Prob. 2LCCh. 12.8 - Prob. 3LCCh. 12.8 - Prob. 4LCCh. 12.8 - Prob. 5LCCh. 12.8 - Prob. 6LCCh. 12.8 - Prob. 7LCCh. 12.8 - Prob. 8PPECh. 12.8 - Prob. 9PPECh. 12.8 - Prob. 10PPECh. 12.8 - Prob. 11PPECh. 12.8 - Prob. 12PPECh. 12.8 - Prob. 13PPECh. 12.8 - Prob. 14PPECh. 12.8 - Prob. 15PPECh. 12.8 - Prob. 16PPECh. 12.8 - Prob. 17PPECh. 12.8 - Prob. 18PPECh. 12.8 - Prob. 19PPECh. 12.8 - Prob. 20PPECh. 12.8 - Prob. 21PPECh. 12.8 - Prob. 22PPECh. 12.8 - Prob. 23PPECh. 12.8 - Prob. 24PPECh. 12.8 - Prob. 25PPECh. 12.8 - Prob. 26PPECh. 12.8 - Prob. 27PPECh. 12.8 - Prob. 28PPECh. 12.8 - Prob. 29PPECh. 12.8 - Prob. 30PPECh. 12.8 - Prob. 31PPECh. 12.8 - Prob. 32PPECh. 12.8 - Prob. 33PPECh. 12.8 - Prob. 34PPECh. 12.8 - Prob. 35PPECh. 12.8 - Prob. 36PPECh. 12.8 - Prob. 37PPECh. 12.8 - Prob. 38PPECh. 12.8 - Prob. 39PPECh. 12.8 - Prob. 40PPECh. 12.8 - Prob. 41PPECh. 12.8 - Prob. 42PPECh. 12.8 - Prob. 43PPECh. 12.8 - Prob. 44PPECh. 12.8 - Prob. 45PPECh. 12.8 - Prob. 1MPCh. 12.8 - Prob. 1CBCh. 12.8 - Prob. 2CBCh. 12 - Prob. 1GRCh. 12 - Prob. 2GRCh. 12 - Prob. 3GRCh. 12 - Prob. 4GRCh. 12 - Prob. 5GRCh. 12 - Prob. 6GRCh. 12 - Prob. 7GRCh. 12 - Prob. 8GRCh. 12 - Prob. 9GRCh. 12 - Prob. 10GRCh. 12 - Prob. 11GRCh. 12 - Prob. 12GRCh. 12 - Prob. 13GRCh. 12 - Prob. 14GRCh. 12 - Prob. 15GRCh. 12 - Prob. 16GRCh. 12 - Prob. 17GRCh. 12 - Prob. 18GRCh. 12 - Prob. 19GRCh. 12 - Prob. 20GRCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Prob. 26CRCh. 12 - Prob. 27CRCh. 12 - Prob. 28CRCh. 12 - Prob. 29CRCh. 12 - Prob. 30CRCh. 12 - Prob. 31CRCh. 12 - Prob. 32CRCh. 12 - Prob. 33CRCh. 12 - Prob. 34CRCh. 12 - Prob. 35CRCh. 12 - Prob. 36CRCh. 12 - Prob. 37CRCh. 12 - Prob. 38CRCh. 12 - Prob. 39CRCh. 12 - Prob. 40CRCh. 12 - Prob. 41CRCh. 12 - Prob. 42CRCh. 12 - Prob. 43CRCh. 12 - Prob. 44CRCh. 12 - Prob. 45CRCh. 12 - Prob. 46CRCh. 12 - Prob. 47CRCh. 12 - Prob. 48CRCh. 12 - Prob. 49CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 14CTCh. 12 - Prob. 15CTCh. 12 - Prob. 16CTCh. 12 - Prob. 17CTCh. 12 - Prob. 18CTCh. 12 - Prob. 19CTCh. 12 - Prob. 20CTCh. 12 - Prob. 21CTCh. 12 - Prob. 22CTCh. 12 - Prob. 1CCSRCh. 12 - Prob. 2CCSRCh. 12 - Prob. 3CCSRCh. 12 - Prob. 4CCSRCh. 12 - Prob. 5CCSRCh. 12 - Prob. 6CCSRCh. 12 - Prob. 7CCSRCh. 12 - Prob. 8CCSRCh. 12 - Prob. 9CCSRCh. 12 - Prob. 10CCSRCh. 12 - Prob. 11CCSRCh. 12 - Prob. 12CCSRCh. 12 - Prob. 13CCSRCh. 12 - Prob. 14CCSRCh. 12 - Prob. 15CCSRCh. 12 - Prob. 16CCSRCh. 12 - Prob. 17CCSRCh. 12 - Prob. 18CCSRCh. 12 - Prob. 19CCSRCh. 12 - Prob. 20CCSRCh. 12 - Prob. 21CCSRCh. 12 - Prob. 22CCSRCh. 12 - Prob. 23CCSRCh. 12 - Prob. 24CCSRCh. 12 - Prob. 25CCSRCh. 12 - Prob. 26CCSRCh. 12 - Prob. 27CCSRCh. 12 - Prob. 28CCSRCh. 12 - Prob. 29CCSRCh. 12 - Prob. 30CCSRCh. 12 - Prob. 31CCSRCh. 12 - Prob. 32CCSRCh. 12 - Prob. 33CCSRCh. 12 - Prob. 34CCSRCh. 12 - Prob. 35CCSRCh. 12 - Prob. 36CCSRCh. 12 - Prob. 37CCSRCh. 12 - Prob. 38CCSRCh. 12 - Prob. 39CCSRCh. 12 - Prob. 40CCSRCh. 12 - Prob. 41CCSRCh. 12 - Prob. 42CCSRCh. 12 - Prob. 43CCSRCh. 12 - Prob. 44CCSRCh. 12 - Prob. 45CCSRCh. 12 - Prob. 46CCSRCh. 12 - Prob. 47CCSRCh. 12 - Prob. 48CCSRCh. 12 - Prob. 49CCSRCh. 12 - Prob. 50CCSR
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