In a sample of 20 men, the mean height was 178 cm. In a sample of 30 women, the mean height was 164 cm. What was the mean height for both groups put together?
What will be an ideal response?
The total height of the 20 men is 20 × 178 = 3560. The total height of the 30 women is 30 × 164 = 4920.The total height of all 50 people is 3560 + 4920 = 8480. There are 20 + 30 = 50 people in total. Therefore the mean height for both groups put together is 8480/50 = 169.6 cm.
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