4. The heights of a year group of children were measured. The data are summarised in the group frequency table. Height (cm) 135
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F601a4590-0b81-464a-bbee-6701325939a2%2F6a6ee901-71ad-41a0-80d3-1670dcf6803d%2Fluw65mi_processed.jpeg&w=3840&q=75)
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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