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Mathematics

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

  1. 74 cm

  2. 136 cm

  3. 16 cm

  4. 80 cm

Statistics

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Answer

By formula,

Mean = Sum of observationsNo. of observations\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Given,

The mean height of 5 students is 140 cm.

∴Mean height=Total heightNo. of students⇒140=Total height5⇒Total height=140×5⇒Total height=700 cm.\therefore \text{Mean height} = \dfrac{\text{Total height}}{\text{No. of students}} \\[1em] \Rightarrow 140 = \dfrac{\text{Total height}}{5} \\[1em] \Rightarrow \text{Total height} = 140 \times 5 \\[1em] \Rightarrow \text{Total height} = 700 \text{ cm}.

Given,

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

Mean height of remaining (4) students = Tot. ht. of 4 students4=5444\dfrac{\text{Tot. ht. of 4 students}}{4} = \dfrac{544}{4} = 136 cm.

Hence, Option 2 is the correct option.

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