Question

The mean height of 5 students is 140 cm. If height of one student is 156 cm, the mean height of the remaining students is ______.

विकल्प

• 74 cm

• 136 cm

• 16 cm

• 80 cm

Answer 1

The mean height of 5 students is 140 cm. If height of one student is 156 cm, the mean height of the remaining students is 136 cm.

Explanation:

By formula,

\[\text{Mean} = \frac{\text{Sum of observations}}{\text{No. of observations}}\]

Given,

The mean height of 5 students is 140 cm.

\[\therefore \text{Mean height} = \frac{\text{Total height}}{\text{No. of students}}\]

\[\Rightarrow 140 = \frac{\text{Total height}}{5}\]

⇒ Total height = 140 × 5

⇒ Total height = 700 cm.

Given,

Height of one student is 156 cm, so total height of remaining students = 700 − 156 = 544 cm.

\[\text{Mean height of remaining (4) students} = \frac{\text{Tot. ht. of 4 students}}{4} = \frac{544}{4} = 136\ \text{cm}.\]