The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were misread as 52 and 8 instead of 152 and 88 respectively. Find the correct mean.
(2 marks)

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Solution

No of items= 150
Incorrect Mean= 60
Mean= Sum of Observation/No of observation
60= Sum/150
60*150= Sum
9000= Sum
$(0.5 m a r k)$
New Sum= Incorrect Sum- Incorrect value+ Correct Value
New Sum= 9000-(52+88)+(152+88)
New Sum= 9000-140+240
New Sum= 9000+100
New Sum = 9100
Correct Mean= New Sum/Number of observation
Correct Mean= 9100/150
Correct Mean=60.67
$(1.5 m a r k s)$

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The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were misread as 52 and 8 instead of 152 and 88 respectively. Find the correct mean. (2 marks)

The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were misread as 52 and 8 instead of 152 and 88 respectively. Find the correct mean.
(2 marks)