HOW TO FIND MISSING VALUE WHEN MEAN IS GIVEN

Mean :

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean = Sum of all quantities / number of quantities

To find the missing quantities, we have to follow the steps given below.

Step 1 :

Add all the quantities along with missing quantity.

Step 2 :

Count the number of terms and divide the previous quantity by this.

Step 3 :

Equate this quantity to the mean given. Using inverse operations, we can solve for the unknown.

Problem 1 :

72, 56, x, 77, 69

Average = 71

Solution:

Average=Sum of observations Total number of observations71=72+56+x+77+695355=274+xx=355-274x=81

So, the missing value is 81.

Problem 2 :

12, x, 22, 27, 23, 17

Average = 20

Solution:

Average=Sum of observations Total number of observations20=12+x+22+27+23+176120=101+xx=120-101x=19

So, the missing value is 19.

Problem 3 :

x, 55, 51, 67, 53

Average = 58

Solution:

Average=Sum of observations Total number of observations58=x+55+51+67+535290=226+xx=290-226x=64

So, the missing value is 64.

Problem 4 :

39, 45, 42, 31, x, 42

Average = 39

Solution:

Average=Sum of observations Total number of observations39=39+45+42+31+x+426234=199+xx=234-199x=35

So, the missing value is 35.

Problem 5 :

5, 14, 12, x, 10, 4

Average = 9

Solution:

Average=Sum of observations Total number of observations9=5+14+12+x+10+4654=45+xx=54-45x=9

So, the missing value is 9.

Problem 6 :

91, 94, x, 78, 90

Average = 88

Solution:

Average=Sum of observations Total number of observations88=91+94+x+78+905440=353+xx=440-353x=87

So, the missing value is 87.

Problem 7 :

x, 75, 68, 61, 86, 57

Average = 71

Solution:

Average=Sum of observations Total number of observations71=x+75+68+61+86+576426=347+xx=426-347x=79

So, the missing value is 79.

Problem 8 :

84, 92, 79, x, 82, 93

Average = 86

Solution:

Average=Sum of observations Total number of observations86=84+92+79+x+82+936516=430+xx=516-430x=86

So, the missing value is 86.

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