1. Below is a sample of 20 house prices (in thousands of pounds) from an estate agent in a small English town. The data have been ordered from the least expensive to the most expensive. 120 125 130 150 150 155 160 175 180 190 200 200 200 210 220 225 240 350 500 4950 (a) Make a relative frequency table of the data using groups 100 – 149, 150 – 199, 200 – 249, . technically, such groups are known as bins. ... (b) Draw a frequency histogram of the data. (c) Describe the shape of the distribution of the data, commenting on any interesting

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1. Below is a sample of 20 house prices (in thousands of pounds) from an estate agent in a
small English town. The data have been ordered from the least expensive to the most
expensive.
120
125 130 150
150 155
160
175
180
190
200
200 200 210 220
225 240
350 500
4950
3
(a) Make a relative frequency table of the data using groups 100 – 149, 150 – 199,
technically, such groups are known as bins.
200 – 249,
...
3
(b) Draw a frequency histogram of the data.
3
(c) Describe the shape of the distribution of the data, commenting on any interesting
features.
3
(d) Calculate the sample mean and the sample median, and compare these two values.
Which of these two values is more 'informative' (i.e. for an ordinary person moving
to the town concerned, which of these two values gives him/her a better idea of how
much he/she should expect to pay)?
(e) Calculate the range and the interquartile range of the data. Which of these two
values is more relevant for an ordinary buyer?
4
|4
(f) Calculate the sample variance, the sample standard deviation and the coefficient of
variation.
Transcribed Image Text:1. Below is a sample of 20 house prices (in thousands of pounds) from an estate agent in a small English town. The data have been ordered from the least expensive to the most expensive. 120 125 130 150 150 155 160 175 180 190 200 200 200 210 220 225 240 350 500 4950 3 (a) Make a relative frequency table of the data using groups 100 – 149, 150 – 199, technically, such groups are known as bins. 200 – 249, ... 3 (b) Draw a frequency histogram of the data. 3 (c) Describe the shape of the distribution of the data, commenting on any interesting features. 3 (d) Calculate the sample mean and the sample median, and compare these two values. Which of these two values is more 'informative' (i.e. for an ordinary person moving to the town concerned, which of these two values gives him/her a better idea of how much he/she should expect to pay)? (e) Calculate the range and the interquartile range of the data. Which of these two values is more relevant for an ordinary buyer? 4 |4 (f) Calculate the sample variance, the sample standard deviation and the coefficient of variation.
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