Gerard Sayson TMUA Mock Paper 1 · Question 11

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Gerard Sayson TMUA Mock Paper 1 · Q11

Paper 1Statistics

A continuous dataset is partitioned into three classes:

0\le x<10,\qquad10\le x<k,\qquad k\le x<40,

where $10<k<40$ .

The frequency densities of the three classes are in the ratio $1:2:1$ respectively. An estimate for the median of the data calculated using linear interpolation is exactly 20.

Find the value of $k$ .

15

20

25

30

35

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