the average height of 10 students in a class was calculated as 166cm.On verification it was found that one reading was wrongly recorded as 160 cm instead of 150 cm. find the correct mean.
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Step-by-step explanation:
Mean = Sum of all occurrences/Total number of occurrences
Given:
Total number of students = 10
Wrongly calculated mean = 166 cm
Mean = (Student 1 + Student 2 + ....+ Student 10) / 10
Student 1 + Student 2 + ....+ Student 10 = Mean*10 = 166*10 = 1660 cm
Sum of heights of all students with wrongly recorded data = 1660 cm
Sum of heights of all student with correct data = Sum of heights of all students with wrongly recorded data - 10 = 1660 - 10 = 1650
Correct Mean = 1650/10 = 165 cm
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