The weights of $200$ secondary two pupils at Ace Secondary School are represented by the cumulativ

Question

The weights of $200$ secondary two pupils at Ace Secondary School are represented by the cumulative frequency curve shown below. Use the graph to find the median weight of the pupils, the interquartile range, the probability that at least one of two pupils chosen at random weighs at least $55$ kg. The weights of the pupils are represented in the box-and-whiskers plot shown below. Write down the values of $a$, $b$, $c$, $d$ and $e$. The weights of another $200$ secondary two pupils at Best Secondary School are represented in another box-and-whiskers plot shown below. Compare briefly the weights of the secondary two pupils from the two schools.

Accepted Answer

(a)(i) $52\text{ kg}$ (a)(ii) $7.5\text{ kg}$ (a)(iii) $\frac{1017}{1990}$ (b) $a=40,\ b=48,\ c=52,\ d=55.5,\ e=65$ (c) Best pupils have higher median $58\text{ kg}$ versus $52\text{ kg}$, and greater IQR $23\text{ kg}$ versus $7.5\text{ kg}$

Statistics - Percentiles and Quartiles from Cumulative Frequency Curves

Statistics - Percentiles and Quartiles from Cumulative Frequency Curves

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