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 19PPS

i.

To determine

To calculate mean, median, mode, range and standard deviation of Rhonda’s earnings

i.

Expert Solution
Check Mark

Answer to Problem 19PPS

Mean is 52.95.

Median is 53.

Mode is 53.

Standard deviation is 6.21

Range is 19

Explanation of Solution

Given information:

    Rhonda’s Pay
    455553
    475354
    445659
    634753
    605762
    445045
    605349
    6247

Formula used: Mean formula is,

  ˉX=∑fXN

Where, f is frequency

N is total number of items

X is item.

Median formula is,

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 10.5, Problem 19PPS where N cumulative frequency

Mode is the item with the maximum frequency.

Standard deviation is,

  SD=√∑(x−ˉx)2n

Where, SD= standard deviation,

x= value

The Range is the difference between the lowest and highest values.

Calculation:

For Mean,

Substituting the values in mean formula,

  =45+55+53+47+53+54+44+56+59+63+47+53+60+57+62+44+50+45+60+53+49+62+4723

On solving,

  =121823

On solving,

  =52.95

Hence, Mean is 52.95

For median,

Sorting the frequency

44,44,45,45,47,47,47,49,50,53,53,53,53,54,55,56,57,59,60,60,62,62,63,

Substituting the values,

  =(23+12)thterm

On solving,

  =(12)thterm

Substituting the values,

  median=53

Median is 12th term from the sorted frequency which is 53.

For mode,

Mode is the item with the maximum frequency. Which is 53

For standard deviation,

Substituting the values in standard deviation formula,

  SD=√(45−52.95)2+(55−52.95)2+(53−52.95)2+(47−52.95)2+(53−52.95)2+(54−52.95)2+(44−52.95)2+(56−52.95)2+(59−52.95)2+(63−52.95)2+(47−52.95)2+(53−52.95)2+(60−52.95)2+(57−52.95)2+(62−52.95)2+(44−52.95)2+(50−52.95)2+(45−52.95)2+(60−52.95)2+(53−52.95)2+(49−52.95)2+(62−52.95)2+(47−52.95)223

On solving,

  SD=√(−7.95)2+(2.05)2+(0.05)2+(−5.95)2+(0.05)2+(1.05)2+(−8.95)2+(3.05)2+(6.05)2+(10.05)2+(−5.95)2+(0.05)2+(7.05)2+(4.05)2+(9.05)2+(−8.95)2+(−2.95)2+(−7.95)2+(7.05)2+(0.05)2+(−3.95)2+(9.05)2+(−5.95)223

So,

  SD=√38.58

On solving,

  SD=6.21

Hence, Standard deviation is 6.21

For Range,

Range is the difference between the lowest and highest values.

Range =max−min

=63-44

=19

Hence, range is 19.

ii.

To determine

To calculate mean, median, mode, range and standard deviation of Rhonda’s earnings after deducting the $5 bonus.

ii.

Expert Solution
Check Mark

Answer to Problem 19PPS

Mean is 47.91.

Median is 48.

Mode is 48.

Standard deviation is 6.21

Range is 19

Explanation of Solution

Given information:

Rhonda’s pay after deducting $5 bonus

    Rhonda’s Pay
    405047
    424849
    395154
    584248
    555257
    394540
    554844
    5742

Formula used: Mean formula is,

  ˉX=∑fXN

Where, f is frequency

N is total number of items

X is item.

Standard deviation is,

  SD=√∑(x−ˉx)2n

Where, SD= standard deviation,

x= value

The Range is the difference between the lowest and highest values.

Calculation:

For Mean,

Substituting the values in mean formula,

  =40+50+47+42+48+49+39+51+54+58+42+48+55+52+57+39+45+40+55+48+44+57+4223

On solving,

  =47.91

Hence, Mean is 47.91

For median,

Sorting the frequency

39,39,40,40,42,42,42,44,45,48,48,48,48,49,50,51,52,54,55,55,57,57,58

Substituting the values,

  =(23+12)thterm

On solving,

  =(12)thterm

Substituting the value,

  median=48

For mode,

Mode is the item with the maximum frequency which is 48.

For standard deviation,

Substituting the values in standard deviation formula,

  SD=√(40-472.91)+(50-47.91)2+(47-47.91)2+(42-47.91)2+(48-47.91)2+(49-47.91)2+(39-49.91)2+(51-47.91)2+(54-47.91)2+(58-47.91)2+(42-47.91)2+(48-47.91)2+(55-47.91)2+(52-47.91)2+(57-47.91)2+(39-47.91)2+(45-47.91)2+(40-47.91)2+(55-47.91)2+(48-47.91)2+(44-47.91)2+(57-47.91)2+(42-47.91)223

On solving,

  SD=√(-72.91)+(2.9)2+(-0.91)2+(-5.91)2+(0.09)2+(1.09)2+(-8.91)2+(3.09)2+(6.09)2+(10.09)2+(-5.91)2+(0.09)2+(7.9)2+(4.09)2+(9.09)2+(-8.91)2+(-2.91)2+(-7.91)2+(7.09)2+(0.09)2+(-3.91)2+(9.09)2+(-5.91)223

So,

  SD=√38.62

On solving,

  SD=6.21

Hence, Standard deviation is 6.21

For Range,

Range is the difference between the lowest and highest values.

=58-39

=19

Hence, range is 19

Previous
Chapter 10.5, Problem 18PPS
Next
Chapter 10.5, Problem 20PPS

Chapter 10 Solutions

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

Ch. 10.1 - Prob. 1GPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3AGPCh. 10.1 - Prob. 3BGPCh. 10.1 - Prob. 4GPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYU
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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