Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 10.3, Problem 8IP
To determine

To calculate:The mean absolute deviation of the given set of values.

Expert Solution & Answer
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Answer to Problem 8IP

The Mean Absolute Deviation for the given sets are

  {1,2},M.A.D=0.5{1,2,3,4},M.A.D=1{1,2,3,4,5,6},M.A.D=1.5{1,2,3,4,5,6,7,8,9,10},M.A.D=2.5

Explanation of Solution

Given information:The given set of values are

  {1,2},{1,2,3,4},{1,2,3,4,5,6}&{1,2,3,4,5,6,7,8,9,10}

Formula used:

The Mean of a given set of values is the average of the given set of values.

  Mean=sumofvaluesnumberofvalues=xn

The Mean Absolute Deviation of a given set of values is the average of deviation of each value from the mean value.

  M.A.D=(|xx¯|)n

Calculation:

The value of mean(x¯)&meanabsolutedeviation(M.A.D) for the set {1,2} are shown below

  set={1,2},n=2(even)Mean=x¯=xn=(1+2)2=1.5Newsetofvaluesof(|xx¯|)={0.5,0.5}M.A.D=(|xx¯|)n=0.5+0.52=0.5M.A.D=0.5............(1)

The Mean Absolute Deviation for the set {1,2} is 0.5

The value of mean(x¯)&meanabsolutedeviation(M.A.D) for the set {1,2,3,4} are shown below

  set={1,2,3,4},n=4(even)Mean=x¯=xn=(1+2+3+4)4=2.5Newsetofvaluesof(|xx¯|)={1.5,0.5,0.5,1.5}M.A.D=(|xx¯|)n=1.5+0.5+0.5+1.54=1M.A.D=1........(2)

The Mean Absolute Deviation for the set {1,2,3,4} is 1.

The value of mean(x¯)&meanabsolutedeviation(M.A.D) for the set {1,2,3,4,5,6} are shown below

  set={1,2,3,4,5,6},n=6(even)Mean=x¯=xn=(1+2+3+4+5+6)6=3.5Newsetofvaluesof(|xx¯|)={2.5,1.5,0.5,0.5,1.5,2.5}M.A.D=(|xx¯|)n=2×(0.5+1.5+2.5)6=1.5M.A.D=1.5.........(3)

The Mean Absolute Deviation for the set {1,2,3,4,5,6} is 1.5.

By observing the pattern from equation (1),(2) & (3) it can be concluded that for every 2 new consecutive values added in the data-set the mean absolute deviation increases by 0.5.

Therefore the Mean Absolute Deviation for the set {1,2,3,4,5,6,7,8,9,10} is 2.5.

Hence The Mean Absolute Deviation for the given sets are

  {1,2},M.A.D=0.5{1,2,3,4},M.A.D=1{1,2,3,4,5,6},M.A.D=1.5{1,2,3,4,5,6,7,8,9,10},M.A.D=2.5

Chapter 10 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 10.1 - Prob. 11IPCh. 10.1 - Prob. 12IPCh. 10.1 - Prob. 13IPCh. 10.1 - Prob. 14IPCh. 10.1 - Prob. 15IPCh. 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. 22STPCh. 10.1 - Prob. 23STPCh. 10.1 - Prob. 24STPCh. 10.1 - Prob. 25STPCh. 10.1 - Prob. 26CCRCh. 10.1 - Prob. 27CCRCh. 10.1 - Prob. 28CCRCh. 10.1 - Prob. 29CCRCh. 10.1 - Prob. 30CCRCh. 10.1 - Prob. 31CCRCh. 10.1 - Prob. 32CCRCh. 10.1 - Prob. 33CCRCh. 10.1 - Prob. 34CCRCh. 10.1 - Prob. 35CCRCh. 10.2 - Prob. 1GPCh. 10.2 - Prob. 2GPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4IPCh. 10.2 - Prob. 5IPCh. 10.2 - Prob. 6IPCh. 10.2 - Prob. 7IPCh. 10.2 - Prob. 8IPCh. 10.2 - Prob. 9IPCh. 10.2 - Prob. 10IPCh. 10.2 - Prob. 11IPCh. 10.2 - Prob. 12HPCh. 10.2 - Prob. 13HPCh. 10.2 - Prob. 14HPCh. 10.2 - Prob. 15HPCh. 10.2 - Prob. 16HPCh. 10.2 - Prob. 17HPCh. 10.2 - Prob. 18STPCh. 10.2 - Prob. 19STPCh. 10.2 - Prob. 20STPCh. 10.2 - Prob. 21STPCh. 10.2 - Prob. 22CCRCh. 10.2 - Prob. 23CCRCh. 10.2 - Prob. 24CCRCh. 10.2 - Prob. 25CCRCh. 10.2 - Prob. 26CCRCh. 10.2 - Prob. 27CCRCh. 10.2 - Prob. 28CCRCh. 10.2 - Prob. 29CCRCh. 10.2 - Prob. 30CCRCh. 10.2 - Prob. 31CCRCh. 10.2 - Prob. 32CCRCh. 10.2 - Prob. 33CCRCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3IPCh. 10.3 - Prob. 4IPCh. 10.3 - Prob. 5IPCh. 10.3 - Prob. 6IPCh. 10.3 - Prob. 7IPCh. 10.3 - Prob. 8IPCh. 10.3 - Prob. 9IPCh. 10.3 - Prob. 10IPCh. 10.3 - Prob. 11HPCh. 10.3 - Prob. 12HPCh. 10.3 - Prob. 13HPCh. 10.3 - Prob. 14HPCh. 10.3 - Prob. 15STPCh. 10.3 - Prob. 16STPCh. 10.3 - Prob. 17STPCh. 10.3 - Prob. 18STPCh. 10.3 - Prob. 19CCRCh. 10.3 - Prob. 20CCRCh. 10.3 - Prob. 21CCRCh. 10.3 - Prob. 22CCRCh. 10.3 - Prob. 23CCRCh. 10.3 - Prob. 24CCRCh. 10.3 - Prob. 25CCRCh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3IPCh. 10.4 - Prob. 4IPCh. 10.4 - Prob. 5IPCh. 10.4 - Prob. 6IPCh. 10.4 - Prob. 7IPCh. 10.4 - Prob. 8IPCh. 10.4 - Prob. 9IPCh. 10.4 - Prob. 10IPCh. 10.4 - Prob. 11HPCh. 10.4 - Prob. 12HPCh. 10.4 - Prob. 13HPCh. 10.4 - Prob. 14HPCh. 10.4 - Prob. 15STPCh. 10.4 - Prob. 16STPCh. 10.4 - Prob. 17CCRCh. 10.4 - Prob. 18CCRCh. 10.4 - Prob. 19CCRCh. 10.4 - Prob. 20CCRCh. 10.4 - Prob. 21CCRCh. 10.4 - Prob. 22CCRCh. 10.4 - Prob. 23CCRCh. 10.4 - Prob. 24CCRCh. 10.4 - Prob. 25CCRCh. 10.4 - Prob. 26CCRCh. 10.4 - Prob. 27CCRCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 5IPCh. 10.5 - Prob. 6IPCh. 10.5 - Prob. 7IPCh. 10.5 - Prob. 8IPCh. 10.5 - Prob. 9IPCh. 10.5 - Prob. 10IPCh. 10.5 - Prob. 11IPCh. 10.5 - Prob. 12IPCh. 10.5 - Prob. 13IPCh. 10.5 - Prob. 14IPCh. 10.5 - Prob. 15IPCh. 10.5 - Prob. 16IPCh. 10.5 - Prob. 17HPCh. 10.5 - Prob. 18HPCh. 10.5 - Prob. 19HPCh. 10.5 - Prob. 20HPCh. 10.5 - Prob. 21STPCh. 10.5 - Prob. 22STPCh. 10.5 - Prob. 23STPCh. 10.5 - Prob. 24STPCh. 10.5 - Prob. 25CCRCh. 10.5 - Prob. 26CCRCh. 10.5 - Prob. 27CCRCh. 10.5 - Prob. 28CCRCh. 10.5 - Prob. 29CCRCh. 10.5 - Prob. 30CCRCh. 10.5 - Prob. 31CCRCh. 10.5 - Prob. 32CCRCh. 10.5 - Prob. 33CCRCh. 10.5 - Prob. 34CCRCh. 10.5 - Prob. 35CCRCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 5GPCh. 10.6 - Prob. 6GPCh. 10.6 - Prob. 7GPCh. 10.6 - Prob. 8GPCh. 10.6 - Prob. 9GPCh. 10.6 - Prob. 10GPCh. 10.6 - Prob. 11GPCh. 10.6 - Prob. 12IPCh. 10.6 - Prob. 13IPCh. 10.6 - Prob. 14IPCh. 10.6 - Prob. 15IPCh. 10.6 - Prob. 16IPCh. 10.6 - Prob. 17IPCh. 10.6 - Prob. 18IPCh. 10.6 - Prob. 19IPCh. 10.6 - Prob. 20IPCh. 10.6 - Prob. 21IPCh. 10.6 - Prob. 22IPCh. 10.6 - Prob. 23IPCh. 10.6 - Prob. 24IPCh. 10.6 - Prob. 25IPCh. 10.6 - Prob. 26IPCh. 10.6 - Prob. 27IPCh. 10.6 - Prob. 28IPCh. 10.6 - Prob. 29IPCh. 10.6 - Prob. 30IPCh. 10.6 - Prob. 31IPCh. 10.6 - Prob. 32IPCh. 10.6 - Prob. 33IPCh. 10.6 - Prob. 34IPCh. 10.6 - Prob. 35IPCh. 10.6 - Prob. 36IPCh. 10.6 - Prob. 37IPCh. 10.6 - Prob. 38IPCh. 10.6 - Prob. 39IPCh. 10.6 - Prob. 40IPCh. 10.6 - Prob. 41HPCh. 10.6 - Prob. 42HPCh. 10.6 - Prob. 43HPCh. 10.6 - Prob. 44HPCh. 10.6 - Prob. 45STPCh. 10.6 - Prob. 46STPCh. 10.6 - Prob. 47STPCh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49CCRCh. 10.6 - Prob. 50CCRCh. 10.6 - Prob. 51CCRCh. 10.6 - Prob. 52CCRCh. 10.6 - Prob. 53CCRCh. 10.6 - Prob. 54CCRCh. 10.6 - Prob. 55CCRCh. 10.6 - Prob. 56CCRCh. 10.6 - Prob. 57CCRCh. 10.6 - Prob. 58CCRCh. 10.6 - Prob. 59CCRCh. 10.7 - Prob. 1GPCh. 10.7 - Prob. 2GPCh. 10.7 - Prob. 3GPCh. 10.7 - Prob. 4GPCh. 10.7 - Prob. 5IPCh. 10.7 - Prob. 6IPCh. 10.7 - Prob. 7IPCh. 10.7 - Prob. 8IPCh. 10.7 - Prob. 9IPCh. 10.7 - Prob. 10IPCh. 10.7 - Prob. 11IPCh. 10.7 - Prob. 12IPCh. 10.7 - Prob. 13IPCh. 10.7 - Prob. 14IPCh. 10.7 - Prob. 15HPCh. 10.7 - Prob. 16HPCh. 10.7 - Prob. 17HPCh. 10.7 - Prob. 18STPCh. 10.7 - Prob. 19STPCh. 10.7 - Prob. 20STPCh. 10.7 - Prob. 21STPCh. 10.7 - Prob. 22CCRCh. 10.7 - Prob. 23CCRCh. 10.7 - Prob. 24CCRCh. 10.7 - Prob. 25CCRCh. 10.7 - Prob. 26CCRCh. 10.7 - Prob. 27CCRCh. 10.7 - Prob. 28CCRCh. 10.7 - Prob. 29CCRCh. 10.7 - Prob. 30CCRCh. 10.7 - Prob. 31CCRCh. 10.7 - Prob. 32CCRCh. 10.7 - Prob. 33CCRCh. 10.7 - Prob. 34CCRCh. 10.7 - Prob. 35CCRCh. 10.7 - Prob. 36CCRCh. 10.7 - Prob. 37CCRCh. 10.7 - Prob. 38CCRCh. 10.8 - Prob. 1GPCh. 10.8 - Prob. 2GPCh. 10.8 - Prob. 3GPCh. 10.8 - Prob. 4GPCh. 10.8 - Prob. 5GPCh. 10.8 - Prob. 6IPCh. 10.8 - Prob. 7IPCh. 10.8 - Prob. 8IPCh. 10.8 - Prob. 9IPCh. 10.8 - Prob. 10IPCh. 10.8 - Prob. 11IPCh. 10.8 - Prob. 12IPCh. 10.8 - Prob. 13IPCh. 10.8 - Prob. 14IPCh. 10.8 - Prob. 15IPCh. 10.8 - Prob. 16IPCh. 10.8 - Prob. 17IPCh. 10.8 - Prob. 18HPCh. 10.8 - Prob. 19HPCh. 10.8 - Prob. 20HPCh. 10.8 - Prob. 21HPCh. 10.8 - Prob. 22HPCh. 10.8 - Prob. 23STPCh. 10.8 - Prob. 24STPCh. 10.8 - Prob. 25STPCh. 10.8 - Prob. 26STPCh. 10.8 - Prob. 27CCRCh. 10.8 - Prob. 28CCRCh. 10.8 - Prob. 29CCRCh. 10.8 - Prob. 30CCRCh. 10.8 - Prob. 31CCRCh. 10.8 - Prob. 32CCRCh. 10.8 - Prob. 33CCRCh. 10.8 - Prob. 34CCRCh. 10.8 - Prob. 35CCRCh. 10.8 - Prob. 36CCRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CRCh. 10 - Prob. 17CRCh. 10 - Prob. 18CRCh. 10 - Prob. 19CRCh. 10 - Prob. 20CRCh. 10 - Prob. 21CRCh. 10 - Prob. 22CRCh. 10 - Prob. 23CRCh. 10 - Prob. 24CRCh. 10 - Prob. 25CRCh. 10 - Prob. 26CRCh. 10 - Prob. 27CRCh. 10 - Prob. 28CRCh. 10 - Prob. 29CRCh. 10 - Prob. 30CR
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