The height of 7 students are listed.

The mean height of the students before and after increasing the height by 2 cm is

162 cm, 164 cm

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166 cm, 170 cm

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161.67 cm, 171,26 cm

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Solution

The correct option is A 162 cm, 164 cm
The given data set is

150, 153, 172, 168, 170, 156, 165

Mean = $\frac{s u m o f a l l d a t a}{n u m b e r o f d a t a}$

= $\frac{150 + 153 + 172 + 168 + 170 + 156 + 165}{7}$

= $\frac{1134}{7}$

= 162

= 162

After each data is increased by 2, the new data set is

152, 155, 174, 170, 172, 158, 167

Mean = $\frac{s u m o f a l l d a t a}{n u m b e r o f d a t a}$

= $\frac{152 + 155 + 174 + 170 + 172 + 158 + 167}{7}$

= $\frac{1148}{7}$

= 164

Hence, the mean height of the data before and after increasing the height are 162 cm and 164 cm, respectively.

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