Question
5. The weights (in kg ) of 8 children are \( 13.4,10.6,12.7,17.2,14.3,15,16.5,9.8 \). Find the median weight.
Ask by Norton Wilson. in India
Jan 23,2025
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Answer
The median weight is 13.85 kg.
Solution
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The Deep Dive
To find the median weight, first, you need to arrange the weights in ascending order: \( 9.8, 10.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2 \). Since there are 8 values (an even number), the median will be the average of the two middle values. The two middle values are \( 13.4 \) and \( 14.3 \). Calculating the median: \[ \text{Median} = \frac{13.4 + 14.3}{2} = \frac{27.7}{2} = 13.85 \text{ kg} \] So, the median weight of the children is \( 13.85 \) kg.