Question

The average height of 10 students in a class was calculated as 166 cm. On
verification it was found that one reading was wrongly recorded as 160 cm, instead of
150 cm. Find the correct mean height
(A) 165 cm
(B) 160 cm
(C) 155 cm
(D) 170 cm​

Answer 1

Answer:

135 for solution see attachment.

mean of 10 students= 166

total sum = 166 * 10 = 1660

since, 160 was wrong as 150

therefore,

$correct mean = 1660 - 150 + 160$

$correct \: mean \: = \frac{1350}{10} = 135$

Answer 2

The correct mean height is 165 cm.

Step-by-step explanation:

Given:

The average height of 10 students in a class was calculated as 166 cm. On  

verification it was found that one reading was wrongly recorded as 160 cm, instead of  150 cm. Find the correct mean height  

Solution:

Mean = Sum of all occurrences / Total no of occurrences

No of occurences = 10

Wrong mean = 166

Sum of all occurences = 166  $\times$  10 = 1660

Difference in data = 160 – 150 = 10

Sum of heights – 10 = 1660 – 10 = 1650

Mean = $\frac{1650}{10}$= 165  cm.

To know more:

The average height of 40 students is 150 cm. it was later detected that one observation 165 cm was wrongly copied as 125 cm for computing the mean. find the correct mean height ?

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Average height of 30 students is 150 cm it was later found the one observation is 165 which was wrongly copied as 135 cm. Find the correct mean height.

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