Question

PO2508 Understanding Statistics EXERCISE SHEET - l. Classify each of the following as nominal, ordinal, interval or ratio level data: a. The telephone area code of interviewees n b. The weight of fish landed at Fraserburgh c. Survey responses that scale attitudes towards a business from 1 to 5 dL d. The time required to sell a house e. Football players shirt numbers Inver f. The Richter scale used to measure earthquake strength g. Job satisfaction ratings of a sample of employees n'--in.- 2. Consider the following economic and environmental performance indicators for a sample of nine countries: Country GDP per Carbon capita (000 dioxide USS) emissions South Korea 13.5 24.4 15.9 9.6 9.1 26.3 8.5 Italy Ukraine 1.0 Mexico Australia South Africa Brazil UK Calculatc the mean, median and modal value of carbon dioxide emissions per capita for this sample of countries a) b) Caleulate the mean and median GDP per capita for the sample and interpect the difference between them. Is the distribution of GDP per capita skewed to the left or to the right? 3. The following grouped data was derived from interviews with a sample of estate agents. shows the number of building plots sold over a period of six months falling into different class bands. Class Intervals (Ek) 10- under 15 15- under 20 20- under 25 25-under 30 30- under 35 35- under 45 45- under 55 35 29 16 12 a. Construct an ogive showing the cumulative relative frequency of observations. b. Compute the mean and median number of building plots sold c. You are told that the mean from the original ungrouped data was found to be lower than your answer in part c. Why has this occurred? 4. The data below shows the number of manufacturing plants in the UK arranged according to employment

Answer 1

Classify each of the following as nominal, ordinal, interval or ratio level data:

a. The telephone area code of interviewees n

b. The weight of fish landed at Fraserburgh

c. Survey responses that scale attitudes towards a business from 1 to 5 dL

d. The time required to sell a house

e. Football players shirt numbers Inver

f. The Richter scale used to measure earthquake strength

g. Job satisfaction ratings of a sample of employees n--in

2. Consider the following economic and environmental performance indicators for a sample of nine countries: Country GDP per Carbon capita (000 dioxide USS) emissions South Korea 13.5 24.4 15.9 9.6 9.1 26.3 8.5 Italy Ukraine 1.0 Mexico Australia South Africa Brazil UK Calculatc the mean, median and modal value of carbon dioxide emissions per capita for this sample of countries a) b) Caleulate the mean and median GDP per capita for the sample and interpect the difference between them. Is the distribution of GDP per capita skewed to the left or to the right? 3. The following grouped data was derived from interviews with a sample of estate agents. shows the number of building plots sold over a period of six months falling into different class bands. Class Intervals (Ek) 10- under 15 15- under 20 20- under 25 25-under 30 30- under 35 35- under 45 45- under 55 35 29 16 12 a. Construct an ogive showing the cumulative relative frequency of observations. b. Compute the mean and median number of building plots sold c. You are told that the mean from the original ungrouped data was found to be lower than your answer in part c. Why has this occurred? 4. The data below shows the number of manufacturing plants in the UK arranged according to employment