question 1.

1. Present the measures of central tendency (mean, median and mode) and measures of variation (standard deviation, variance, range, minimum and maximum) of each manufacturer. (3 marks) The ordered data in the table below give the life (in hours of usage) of samples of forty 15-watt CFL (compact fluorescent lamp) energy-saving light bulbs produced by two manufacturers, A and B.
2. Based on the above measures of central tendency, which manufacturer appears to produce compact fluorescent lamps of longer life? Support your conclusion with evidence from the results. (2 marks)
3. Based on the above measures of variation, which of the two manufacturers appear to be more consistent in terms of the life of the compact fluorescent lamps they produce? Support your conclusion with evidence from the results. (2 marks)
4. Construct a frequency table for each manufacturer using the following class ranges (3 marks):

5500 to <6000, 6000 to <6500, 6500 to <7000, 7000 to <7500, 7500 to <8000, 8000 to <8500, 8500 to <9000, 9000 to <9500, 9500 to <10000

Manufacturer A

5544	6832	7497	8091
5814	6868	7645	8119
6190	6879	7654	8392
6307	6930	7773	8416
6342	6941	7816	8416
6423	7007	7838	8514
6429	7037	7924	8532
6485	7043	7999	8542
6612	7059	8038	8544
6667	7136	8067	8731

Manufacturer B

6701	7607	8298	9036
6837	7612	8344	9096
6961	7651	8535	9262
7118	7721	8666	9385
7133	7754	8792	9460
7142	7767	8800	9471
7156	7806	8856	9521
7344	7839	8861	9540
7493	7888	8993	9693
7569	7983	9001	9744