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population growth of an island...

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weeks 4-6

Statistics Island Mean, Median, Mode, Range, Standard Deviation Mean 4.5 Median 3.5 Mode 2 Range 9 Standard 2.97 Deviatio n Mean = (10+3+2+6+2+1+9+6+2+4)/10 = 4.5 Median 1,2,2,2,3,4,6,6,9,10 = n/2 + (n/2) +1 (3+4)/2 = 3.5 Mode 1,2,2,2,3,4,6,6,9,10 =2 Range 1,2,2,2,3,4,6,6,9,10 10 – 1 = 9 Standard deviation 1,2,2,2,3,4,6,6,9,10 √((1 – 4.5) ^2 + (2 – 4.5) ^2 + (2 – 4.5) ^2 + (2 – 4.5) ^2 + (3 – 4.5) ^2+ (4 – 4.5) ^2+ (6 – 4.5) ^2+ (6 – 4.5) ^2+ (9 – 4.5) ^2 + (10 – 4.5) ^2)/10 = 2.97

2.97 is the population standard deviation Create a box and whisker plot of your data. Identify the five-number summary and the interquartile range. Box and whisker plot 1,2,2,2,3,4,6,6,9,10

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weeks 4-6

five-number summary Minimum = 1; Q1 = 2; Median = 3.5; Q3 = 6.75; Maximum = 10 Interquartile range 6.75 – 2 = 4.75 Standard normal curve

Probability that the number of births is less than two Probability below mean = 0.5; probability above mean = 0.5; therefore, probability that the number of births is less than two = 2 * 0.5 / 4.5 = 0.22 Probability that the number of births is more than one

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weeks 4-6

Probability below mean = 0.5; probability above mean = 0.5; therefore, probability that the number of births is more than one is = 1 – (1 * 0.5 / 4.5) = 0.89...