QUESTION THREE (30 Marks)

You have collected that data below on the wages (in thousands on Ksh.) in a sector in your attempt to analyze the distribution of sectorial wages

10 10 12 15 20 24 12 30 35 25 25 18

15 11 18 45 65 23 55 40 12 14 50 50

1. 12 13 13 14 21 22 21 21 24 40 31

32 30 16 16 17 17 22 61 54 53 52 52

65 63 62 50 41 42 33 32 21 21 22

1. Using the Sturges Rule construct a grouped frequency distribution; (7 Marks)

1. Using the grouped frequency distribution in a(ii) above find the following
   1. Harmonic mean (6 Marks)
   2. 1^st and 2^nd quartile and hence the interquartile range (6 Marks)
2. On the basis of the grouped frequency distribution in a (a) above construct the following

1. Histogram hence derive an appropriate measure of central tendency verifyingyour answer using an appropriate analytical approach (Formula) (7 Marks)
2. The less than ogive and hence derive an appropriate measure of central tendency verifying your answer using an appropriate analytical approach (Formula) (4 Marks)