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The table shows the frequency distribution of heights (in cm) of pupils in a certain ...

The table shows the frequency distribution of heights (in cm) of pupils in a certain school.
Heights 100-109 110-119 120-129 130-139 140-149 150-159 160-169
Frequency 27 58 130 105 50 25 5



(a) (i) Construct a cumulative frequency table. (ii) Use the table to draw a cumulative frequency curve.
(b) Using the curve, estimate the: (i)median height; (ii) inter quartile range (iii) percentage of students whose heights are most 130cm.



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