4. The heights of a year group of children were measured. The data are summarised in the group frequency table. Height (cm) 135

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4. The heights of a year group of children were measured. The data are summarised in the group
frequency table.
Height (cm)
135 <h ≤ 145
145 <h ≤ 150
150 <h155
155 <h ≤ 160
160 <h 175
Frequency
b) Complete the table.
40
40
75
65
60
a) Write down the modal class for the heights.
c) Draw a histogram for these data.
d) Estimate the mean height of these children.
Class width
10
Frequency density
e) Draw a cumulative frequency curve, showing your working.
f) Use your frequency curve to estimate the:
i) median
ii) upper quartile
iii) lower quartile
iv) 80th percentile
Transcribed Image Text:4. The heights of a year group of children were measured. The data are summarised in the group frequency table. Height (cm) 135 <h ≤ 145 145 <h ≤ 150 150 <h155 155 <h ≤ 160 160 <h 175 Frequency b) Complete the table. 40 40 75 65 60 a) Write down the modal class for the heights. c) Draw a histogram for these data. d) Estimate the mean height of these children. Class width 10 Frequency density e) Draw a cumulative frequency curve, showing your working. f) Use your frequency curve to estimate the: i) median ii) upper quartile iii) lower quartile iv) 80th percentile
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