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The mean height of 11 students in a group is 150 cm. The heights of the students are 154 cm, 145 cm, Y cm, Y + 4 cm, 160 cm, 151 cm, 149 cm, 149 cm, 150 cm, 144 cm and 140 cm. Find the value of Y and the heights of two students.

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Mean Height

150 = \(\frac{1342+Y+Y+4}{11}\)

150 = \(\frac{1346+2Y}{11}\)

150 x 11 = 1346 + 2Y 

1650 = 1346 + 2Y 

2Y = 1650 – 1346 

= 304 

Y = \(\frac{304}{2}\)

= 152

Height of two students are Y and Y + 4 

⇒ 152 and 152 + 4 

⇒ 152 cm and 156 cm

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