4MA0 Higher January 2017 Paper 4R Q16

EdexcelHigherOld spec3 marksHistograms

16 The table shows information about the heights, in metres, of 45 of the world’s tallest men.

Height (\(h\) metres)Number of men
\(2.31 \lt h \leqslant 2.35\)10
\(2.35 \lt h \leqslant 2.40\)12
\(2.40 \lt h \leqslant 2.47\)13
\(2.47 \lt h \leqslant 2.72\)10
(a) Use the information in the table to complete the histogram. (2)
Histogram: frequency density from 0 to 275 against height in metres from 2.3 to 2.75; bars 2.31 to 2.35 height 250, 2.35 to 2.40 height 240, 2.40 to 2.47 height about 186; no bar yet for 2.47 to 2.72
(b) Find an estimate for the number of these men with height between 2.32 metres and 2.34 metres. (1)