Question 15 The retirement ages of a group of 80 people is summarised in the following table. Frequency f Age (t years) 48

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Question 15
The retirement ages of a group of 80 people is summarised in the following table.
Age (t years)
Frequency f
48 <t≤51
1
51 <1 ≤54
0
54<t≤57
(b)
(a)
A student looked at the above data and stated that the oldest person of the group who
retired was aged 72. Comment on the validity of this statement.
(d)
30
Use the mid-point of each class interval to determine the approximate mean and standard
deviation of the retirement ages.
(c) Construct a histogram of the retirement ages on the axes below.
25
20
15
10
5
57 <t≤60
60 <t≤63
63 <t≤ 66
66 <1 ≤69
69 <t≤72
0
(
2
5
16
28
23
5
48
51 54
57
60 63
Retirement age (t years)
Describe the distribution of retirement ages in terms of shape and modality.
66
69
72
(e)
If the outlier was removed from the dataset, describe how your answers to part (b) would
change.
Transcribed Image Text:Question 15 The retirement ages of a group of 80 people is summarised in the following table. Age (t years) Frequency f 48 <t≤51 1 51 <1 ≤54 0 54<t≤57 (b) (a) A student looked at the above data and stated that the oldest person of the group who retired was aged 72. Comment on the validity of this statement. (d) 30 Use the mid-point of each class interval to determine the approximate mean and standard deviation of the retirement ages. (c) Construct a histogram of the retirement ages on the axes below. 25 20 15 10 5 57 <t≤60 60 <t≤63 63 <t≤ 66 66 <1 ≤69 69 <t≤72 0 ( 2 5 16 28 23 5 48 51 54 57 60 63 Retirement age (t years) Describe the distribution of retirement ages in terms of shape and modality. 66 69 72 (e) If the outlier was removed from the dataset, describe how your answers to part (b) would change.
Question 20
The temperatures of component A and component B in a heat exchanger vary in a linear fashion
as shown in the graph below, where y is the temperature in °C, after x minutes.
72
(b)
-20-
10
24
(a) Determine a rule for the temperature of component A in terms of x.
Showing full working, determine when both components are at the same temperature, and
state what this temperature is.
Transcribed Image Text:Question 20 The temperatures of component A and component B in a heat exchanger vary in a linear fashion as shown in the graph below, where y is the temperature in °C, after x minutes. 72 (b) -20- 10 24 (a) Determine a rule for the temperature of component A in terms of x. Showing full working, determine when both components are at the same temperature, and state what this temperature is.
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“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

Given that:

Age (t years) Frequency f
48<t<=51 1
51<t<=54 0
54<t<=57 2
57<t<=60 5
60<t<=63 16
63<t<=66 28
66<t<=69 23
69<t<=72 5

 

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