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Givenmeanfindmissingvalue.pdf, Lecture notes of Elementary Mathematics

Michigan State University College of LawElementary Mathematics

Suppose you know the mean, but you are missing one of the numbers. ... Now subtract the sum you have from the total sum to find your missing number.

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

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Supposeyouknowthemean,butyouaremissingoneofthenumbers.
Examples:
85=mean
86,83,81,___
Findthemissingnumber.
Youhave4numbersthathaveameanof85.Multiply85 4togetthetotalsumneeded.∙
85 4=340(totalsum)∙
Addthe3numbersthatyouknow.
86+83+81=250(sumyouhave)
Nowsubtractthesumyouhavefromthetotalsumtofindyourmissingnumber.
340250=90(missingnumber)
73=mean
75,94,32,75,___
Findthemissingnumber.
Multiplythemeanof73by5(numbersyouhave).
73 5=365(totalsum)∙
Addthenumbersyouaregiven.
75+94+32+75=276(sumyouhave)
Subtractthesumyouhavefromthetotalsumtofindyourmissingnumber.
365276=89(missingnumber)
Practice:
1)Mean=37 2)Mean=90 3)Mean=40
40,29,50,___ 100,95,92,85,___ 50,30,75,15,___
4)Mean=75 5)Mean=50 6)Mean=81
85,60,25,___ 65,80,73,30,___ 70,93,69,___
7)Mean=25 8)Mean=31 9)Mean=100
10,29,37,20,___ 63,53,20,10,___ 300,75,100,10,___
10)Mean=130 11)Mean=70 12)Mean=91
200,100,125,___ 89,34,40,23,___ 100,140,60,75,___
13)Mean=39 14)Mean=48 15)Mean=88
50,10,29,13,___ 50,60,30,21,___ 90,80,75,___
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Download Givenmeanfindmissingvalue.pdf and more Lecture notes Elementary Mathematics in PDF only on Docsity!

Suppose you know the mean, but you are missing one of the numbers.

Examples:

85 = mean 86, 83, 81, ___ Find the missing number. You have 4 numbers that have a mean of 85. Multiply 85 ∙4 to get the total sum needed. 85 ∙4 = 340 (total sum) Add the 3 numbers that you know. 86 + 83 + 81 = 250 (sum you have) Now subtract the sum you have from the total sum to find your missing number. 340 250 = 90 (missing number)

73 = mean 75, 94, 32, 75, ___ Find the missing number. Multiply the mean of 73 by 5 (numbers you have). 73 ∙5 = 365 (total sum) Add the numbers you are given. 75 + 94 + 32 + 75 = 276 (sum you have) Subtract the sum you have from the total sum to find your missing number. 365 276 = 89 (missing number)

Practice:

  1. Mean = 37 2) Mean = 90 3) Mean = 40 40, 29, 50, ___ 100, 95, 92, 85, ___ 50, 30, 75, 15, ___

  2. Mean = 75 5) Mean = 50 6) Mean = 81 85, 60, 25, ___ 65, 80, 73, 30, ___ 70, 93, 69, ___

  3. Mean = 25 8) Mean = 31 9) Mean = 100 10, 29, 37, 20, ___ 63, 53, 20, 10, ___ 300, 75, 100, 10, ___

  4. Mean = 130 11) Mean = 70 12) Mean = 91 200, 100, 125, ___ 89, 34, 40, 23, ___ 100, 140, 60, 75, ___

  5. Mean = 39 14) Mean = 48 15) Mean = 88 50, 10, 29, 13, ___ 50, 60, 30, 21, ___ 90, 80, 75, ___

  1. Mean = 45 17) Mean = 80 18) Mean = 20 35, 75, ___ 100, 100, 20, ___ 50, 10, 5, 4, ___

  2. Mean = 35 20) Mean = 70 21) Mean = 35 80, 20, 5, ___ 80, 100, 30, ___ 29, 36, 47, ___

  3. Susan has four 20 point projects for math class. Susan’s scores on the first 3 projects is shown below: Project 1: 18 Project 2: 15 Project 3: 16 Project 4: ?? What does she need to make on Project 4 so that the average for the four projects is 17?