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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.6: Relations
Problem 2AGP
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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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