Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 10.5, Problem 5CYU

a.

To determine

To Graph: To construct a histogram for each set of data.

a.

Expert Solution
Check Mark

Explanation of Solution

Given information: Given data is,

K’s distance: 17.2, 18.28, 17.28, 17.36, 18.08, 17.43, 17.71, 17.46, 18.26, 17.51, 17.58, 17.41, 18.21, 17.34, 17.63, 17.55, 17.26, 17.18, 17.78, 17.51, 17.83, 17.92, 18.04, 17.91

M’s distance: 18.88, 19.24, 17.63, 18.96, 18.19, 18.21, 18.46, 17.47, 18.49, 17.86,

18.93, 18.73, 18.34, 18.67, 18.56, 18. 79, 18.47, 18.84, 17.94, 18.7

Graph:

For K’s Distances

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 10.5, Problem 5CYU , additional homework tip  1

For M’s Distances

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 10.5, Problem 5CYU , additional homework tip  2

Interpretation:

Both the graphs are unstable. Values are increasing and decreasing.

b.

To determine

To describe the center and spread the data using five-number summary.

b.

Expert Solution
Check Mark

Answer to Problem 5CYU

The K’s Distances five number summary is,

Minimum=17.18

Lower quartile=17.38

Median=17.58

Upper quartile=18

Maximum=18.56

The M’s Distances five number summary is,

Minimum=17.74

Lower quartile=18.06.

Median=18.56

Upper quartile=18.85

Maximum=19.24

Explanation of Solution

Given information: Given data is,

K’s distance: 17.2, 18.28, 17.28, 17.36, 18.08, 17.43, 17.71, 17.46, 18.26, 17.51, 17.58, 17.41, 18.21, 17.34, 17.63, 17.55, 17.26, 17.18, 17.78, 17.51, 17.83, 17.92, 18.04, 17.91

M’s distance: 18.88, 19.24, 17.63, 18.96, 18.19, 18.21, 18.46, 17.47, 18.49, 17.86,

18.93, 18.73, 18.34, 18.67, 18.56, 18. 79, 18.47, 18.84, 17.94, 18.7

Formula used: Median is,

  M=(n2)th+(n2+1)th2term ,

Lower quartile is,

  Q1=(n+1)14

Upper quartile is,

  Q3=(n+1)34

Where, n is total number of terms.

Calculation:

Re-arranging the data in an ascending order,

    K’s Distances
    17.18,17.2,17.26,17.28,17.34,17.36,17.41,17.43,17.46,17.51,17.51,17.55,17.58,17.63,17.71,17.78,17.83,17.91,17.92,18.04,18.08,18.21,18.26,18.28,18.56
    M’s Distances
    17.74,17.47,17.63,17.86,17.92,17.94,18.19,18.21,18.34,18.46,18.47,18.49,18.56,18.61,18.67,18.7,18.73,18.79,18.84,18.87,18.88,18.93,18.96,19.18,19.24,

For K’s Distances

For median,

Substituting values,

  M=25+1th2term

On solving,

  M=13thterm

Substituting the value,

  M=17.58

Hence, Median is 17.58

For lower quartile,

Substituting the values,

  Q1=(25+1)14

On solving,

  Q1=6.5

Hence, adding 6th and 7th to get the answer,

  Q1=17.36+17.412

On solving,

  Q1=17.38

Hence, Lower quartile is 17.38

For higher quartile,

Substituting the values,

  Q3=(25+1)34

Onn solving,

  Q3=19.5

Hence, adding 19th and 20th to get the answer,

  Q3=17.96+18.042

On solving,

  Q3=18

Hence, higher quartile is 18

Minimum is the smallest value of dataset.

Hence, minimum is 17.18.

Maximum is the largest value of the dataset.

Hence, maximum is 18.56.

The five number summary is,

17.18, 17.38, 17.58, 18, 18.56

For M’s Distances

For median,

Substituting the values,

  M=25+1th2term

On solving,

  M=13thterm

Substituting the value,

  M=18.56

Hence, Median is 18.56

For lower quartile,

Substituting the values,

  Q1=(25+1)14

On solving,

  Q1=6.5

Hence, adding 6th and 7th to get the answer,

  Q1=17.94+18.192

On solving,

  Q1=18.06

Hence, Lower quartile is 18.06

For higher quartile,

Substituting the values,

  Q3=(25+1)34

On solving,

  Q3=19.5

Hence, adding 19th and 20th to get the answer,

  Q3=18.84+18.872

On solving,

  Q3=18.85

Hence, higher quartile is 18.85

Minimum is the smallest value of dataset.

Hence, minimum= 17.74.

Maximum is the largest value of the dataset.

Hence, maximum= 19.24.

The five number summary is,

17.74, 18.06, 18.56, 18.85, 19.24

Five number summary is used, since, it is less time consuming and more efficient.

Chapter 10 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7PPSCh. 10.1 - Prob. 8PPSCh. 10.1 - Prob. 9PPSCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15HPCh. 10.1 - Prob. 16HPCh. 10.1 - Prob. 17HPCh. 10.1 - Prob. 18HPCh. 10.1 - Prob. 19HPCh. 10.1 - Prob. 20HPCh. 10.1 - Prob. 21HPCh. 10.1 - Prob. 22PFACh. 10.1 - Prob. 23PFACh. 10.1 - Prob. 24PFACh. 10.1 - Prob. 25PFACh. 10.1 - Prob. 26PFACh. 10.1 - Prob. 27PFACh. 10.2 - Prob. 1AGPCh. 10.2 - Prob. 1BGPCh. 10.2 - Prob. 2AGPCh. 10.2 - Prob. 2BGPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4GPCh. 10.2 - Prob. 5GPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6PPSCh. 10.2 - Prob. 7PPSCh. 10.2 - Prob. 8PPSCh. 10.2 - Prob. 9PPSCh. 10.2 - Prob. 10PPSCh. 10.2 - Prob. 11PPSCh. 10.2 - Prob. 12PPSCh. 10.2 - Prob. 13PPSCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16HPCh. 10.2 - Prob. 17HPCh. 10.2 - Prob. 18HPCh. 10.2 - Prob. 19PFACh. 10.2 - Prob. 20PFACh. 10.2 - Prob. 21PFACh. 10.2 - Prob. 22PFACh. 10.2 - Prob. 23PFACh. 10.2 - Prob. 24PFACh. 10.2 - Prob. 25PFACh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4GPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5PPSCh. 10.3 - Prob. 6PPSCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15HPCh. 10.3 - Prob. 16HPCh. 10.3 - Prob. 17HPCh. 10.3 - Prob. 18HPCh. 10.3 - Prob. 19HPCh. 10.3 - Prob. 20HPCh. 10.3 - Prob. 21PFACh. 10.3 - Prob. 22PFACh. 10.3 - Prob. 23PFACh. 10.3 - Prob. 24PFACh. 10.3 - Prob. 25PFACh. 10.3 - Prob. 26PFACh. 10.3 - Prob. 27PFACh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5PPSCh. 10.4 - Prob. 6PPSCh. 10.4 - Prob. 7PPSCh. 10.4 - Prob. 8PPSCh. 10.4 - Prob. 9PPSCh. 10.4 - Prob. 10PPSCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12HPCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PFACh. 10.4 - Prob. 19PFACh. 10.4 - Prob. 20PFACh. 10.4 - Prob. 21PFACh. 10.4 - Prob. 22PFACh. 10.4 - Prob. 23PFACh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3AGPCh. 10.5 - Prob. 3BGPCh. 10.5 - Prob. 4AGPCh. 10.5 - Prob. 4BGPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7PPSCh. 10.5 - Prob. 8PPSCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22HPCh. 10.5 - Prob. 23HPCh. 10.5 - Prob. 24HPCh. 10.5 - Prob. 25HPCh. 10.5 - Prob. 26PFACh. 10.5 - Prob. 27PFACh. 10.5 - Prob. 28PFACh. 10.5 - Prob. 29PFACh. 10.6 - Prob. 1AGPCh. 10.6 - Prob. 1BGPCh. 10.6 - Prob. 1CGPCh. 10.6 - Prob. 1DGPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3AGPCh. 10.6 - Prob. 3BGPCh. 10.6 - Prob. 4AGPCh. 10.6 - Prob. 4BGPCh. 10.6 - Prob. 4CGPCh. 10.6 - Prob. 4DGPCh. 10.6 - Prob. 5AGPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14CYUCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36PPSCh. 10.6 - Prob. 37PPSCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39HPCh. 10.6 - Prob. 40HPCh. 10.6 - Prob. 41PFACh. 10.6 - Prob. 42PFACh. 10.6 - Prob. 43PFACh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 1PFACh. 10 - Prob. 2PFACh. 10 - Prob. 3PFACh. 10 - Prob. 4PFACh. 10 - Prob. 5PFACh. 10 - Prob. 6PFACh. 10 - Prob. 7PFACh. 10 - Prob. 8PFACh. 10 - Prob. 9PFACh. 10 - Prob. 10PFACh. 10 - Prob. 11PFACh. 10 - Prob. 12PFACh. 10 - Prob. 13PFA
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