Height (in cm) | Frequency |
Not exceeding 99.5 | 0 |
Not exceeding 109.5 | 27 |
Not exceeding 119.5 | 85 |
Not exceeding 129.5 | 215 |
Not exceeding 139.5 | 320 |
Not exceeding 149.5 | 370 |
Not exceeding 159.5 | 395 |
Not exceeding 169.5 | 400 |
(ii)
bi) Median 1/2 of N = 1/2 x 400 = 200
Cumulative frequency level From the curve, it is 118.5cm
(ii) Inter quartile range = upper quartile - lower quartile upper quartile
= 3/4 of N
= 3/4 x 400 = 300
Cumulative frequency level From the curve, it is 126.5cm
lower quartile = 1/4 of N
= 1/4 x 400 = 100
Cumulative frequency level From the curve, it is 111.0cm
Inter quartile range = 126.5cm -111.0cm = 15.5cm
(ii) From the curve, students whose heights are at most 130cm are 240.
Percentage óf students whose heights are at most 130cm = \(\frac{240}{400}\) x 100
= 60%