6 A company employs 2410 people whose annual salaries are summarised as follows. Salary (in $1000s) <10 10-20 20-30 30-40 40-50 50-60 60-80 80-100 > 100 Number of staff 16 31 502 642 875 283 45 12 4 (a) Draw a cumulative frequency graph for the grouped data. (b) Estimate the percentage of staff with salaries between $26 000 and $52 000. (c) If you were asked to draw a histogram of the data, what problem would arise and how would you overcome it? 7 Construct a grouped frequency table for the following data. 19.12 21.43 20.57 16.97 14.82 19.61 19.35 20.02 12.76 20.40 21.38 20.27 20.21 16.53 21.04 17.71 20.69 15.61 19.41 21.25 19.72 21.13 20.34 20.52 17.30 (a) Draw a histogram of the data. (b) Draw a cumulative frequency graph. (c) Draw a stem-and-leaf diagram using leaves in hundredths, separated by commas.

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6 A company employs 2410 people whose annual salaries are summarised as follows.
Salary (in S1000s) < 10 10-20 20-30 30-40 40-50 50-60 60-80 80-100 > 100
Number of staff
16
31
502 642 875 283
45
12
4
(a) Draw a cumulative frequency graph for the grouped data.
(b) Estimate the percentage of staff with salaries between $26 000 and $52 000.
(c) If you were asked to draw a histogram of the data, what problem would arise and how
would you overcome it?
7 Construct a grouped frequency table for the following data.
19.12
21.43
20.57
16.97
14.82
19.61
19.35
20.02
12.76
20.40
21.38
20.27
20.21
16.53
21.04
17.71
20.69
15.61
19.41
21.25
19.72
21.13
20.34
20.52
17.30
(a) Draw a histogram of the data.
(b) Draw a cumulative frequency graph.
(c) Draw a stem-and-leaf diagram using leaves in hundredths, separated by commas.
10 The time intervals (in seconds) between telephone calls received at an office were monitored
on a particular day. The first 51 calls after 9.00 a.m. gave the following 50 intervals.
72 5 41 12
34
25
119
16
12
66
118
22
40
25
39
19
67
4
13
23
104
35
118
85
67
14
16
50
16
24
10
48
24
76
6.
3
61
58
56
2
24
44
12
20
8
11
29
82
Illustrate the data with a stem-and-leaf diagram, and with a histogram, using six equal
classes.
Transcribed Image Text:6 A company employs 2410 people whose annual salaries are summarised as follows. Salary (in S1000s) < 10 10-20 20-30 30-40 40-50 50-60 60-80 80-100 > 100 Number of staff 16 31 502 642 875 283 45 12 4 (a) Draw a cumulative frequency graph for the grouped data. (b) Estimate the percentage of staff with salaries between $26 000 and $52 000. (c) If you were asked to draw a histogram of the data, what problem would arise and how would you overcome it? 7 Construct a grouped frequency table for the following data. 19.12 21.43 20.57 16.97 14.82 19.61 19.35 20.02 12.76 20.40 21.38 20.27 20.21 16.53 21.04 17.71 20.69 15.61 19.41 21.25 19.72 21.13 20.34 20.52 17.30 (a) Draw a histogram of the data. (b) Draw a cumulative frequency graph. (c) Draw a stem-and-leaf diagram using leaves in hundredths, separated by commas. 10 The time intervals (in seconds) between telephone calls received at an office were monitored on a particular day. The first 51 calls after 9.00 a.m. gave the following 50 intervals. 72 5 41 12 34 25 119 16 12 66 118 22 40 25 39 19 67 4 13 23 104 35 118 85 67 14 16 50 16 24 10 48 24 76 6. 3 61 58 56 2 24 44 12 20 8 11 29 82 Illustrate the data with a stem-and-leaf diagram, and with a histogram, using six equal classes.
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