ABSTRACT

Product A 24 Product B 16 Product C 15 Product D 11 Product E 6 Present these data visually by drawing (a) a vertical bar chart (b) a percentage component bar chart (c) a pie diagram. (13)

2. The following lists the diameters of 40 components produced by a machine, each measured correct to the nearest hundredth of a centimetre:

1.39 1.36 1.38 1.31 1.33 1.40 1.28 1.40 1.24 1.28 1.42 1.34 1.43 1.35 1.36 1.36 1.35 1.45 1.29 1.39 1.38 1.38 1.35 1.42 1.30 1.26 1.37 1.33 1.37 1.34 1.34 1.32 1.33 1.30 1.38 1.41 1.35 1.38 1.27 1.37 (a) Using 8 classes form a frequency distribution

and a cumulative frequency distribution. (b) For the above data draw a histogram, a

frequency polygon and an ogive. (21) 3. Determine for the 10 measurements of lengths

shown below: (a) the arithmetic mean, (b) the median, (c) the mode, and (d) the standard deviation. 28 m, 20 m, 32 m, 44 m, 28 m, 30 m, 30 m, 26 m, 28 m and 34 m (10)

4. The heights of 100 people are measured correct to the nearest centimetre with the following results:

150-157 cm 5 158-165 cm 18 166-173 cm 42 174-181 cm 27 182-189 cm 8 Determine for the data (a) the mean height and (b) the standard deviation. (12)

5. Draw an ogive for the data of component measurements given below, and hence determine the median and the first and third quartile values for this distribution.