Question

The average height of 20 students in a class was
calculated as 160 cm. On verification it was found that
one reading was wrongly recorded as 132 cm instead
of 152 cm. Find the correct mean height.
calculate the arithmetic mean of the followi​

Answer 1

correct arithmetic mean is 161cm

Answer 2

Answer:

161 cm

Step-by-step explanation:

The average height of 20 students in a class was  calculated as 160 cm.

$Mean =\frac{\text{Sum of all heights}}{\text{Number of students }}$

$160=\frac{\text{Sum of all heights}}{20}$

$160 \times 20 =\text{Sum of all heights}$

$3200 =\text{Sum of all heights}$

Now  On verification it was found that  one reading was wrongly recorded as 132 cm instead  of 152 cm.

So, New sum = 3200-132+152 =3220

$\text{New Mean} =\frac{\text{New sum}}{\text{Number of students }}$

$\text{New Mean} =\frac{3220}{20}$

$\text{New Mean} =161$

Hence the correct mean height is 161.