I believe that men have a larger range, larger inter-quartile range and standard deviation of IQ and Average Key Stage 2 Result than women but have a similar median, this means that men are, at times, smarter than women and, at times, dumber than women.

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Matthew Edwards                10D2

Statistics

Hypothesis:

        I believe that men have a larger range, larger inter-quartile range and standard deviation of IQ and Average Key Stage 2 Result than women but have a similar median, this means that men are, at times, smarter than women and, at times, dumber than women.

Test The Hypothesis:

        I believe this because looking at the statistics I see clever men and dumb men but women seem to stay around the average mark. I am using a set of secondary data provided by my teacher of pupils from Mayfield School. My hypothesis uses three of the columns; Gender, IQ and Average Test Score, which I worked out my self.

                My sample size is 100 out of 1183 because 1183 is too large for me to Analyse. I am going to use a stratified sample of men and women. There are 579 women and 604 men out of the 1183 people. I am using a stratified sample to keep the samples in proportion of the population this should help eliminate bias.

604 / 1183 * 100 = 51.06 ≈ 51

579 / 1183 * 100 = 48.94 ≈ 49

        I have 51 men and 49 women to sample, I will use my calculators Random number button the multiply it by 1183 I will repeat until all the samples have been taken. If I get a number twice I will redo it. Press the shift button the press Rnd with Rnd# above it then press * and 1 1 8 3. Repeat however many times you need.

IQ

Stem and Leaf:

Male

Lower Quartile = 26 /  4 = 6.5                        90.5

Median = 26 /  2 = 13                                103.0

Upper Quartile = 26 / 4 *  3 = 19.5                109.5

Inter-Quartile Range = 109.5 - 90.5 =                 19

Female

Lower Quartile = 24 / 4 = 6                        100.0

Median = 24 / 4 = 12                                103.0

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Upper Quartile = 24 /  4 *  3 = 18                106.0

Inter-Quartile Range = 106.0 – 100.0 =         6

Box and Whisker Diagrams

Standard Deviation

        This shows the average difference of numbers from the mean. The Standard deviation is the average distance a number is from the mean of all the numbers. Standard Deviation is more reliable than range because it uses all results to make a range not just the highest and lowest.

Male = 10.733

Female = 6.998

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