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The test scores obtained by 25 students in a science test are provided below: 78 85 92 56 61 80 58 89 63 88 54

  1. The test scores obtained by 25 students in a science test are provided below:

78 85 92 56 61 80 58 89 63 88 54 76 74 66

68 87 50 72 84 91 75 79 70 82 65 59 60 83

  1. Organize this information into a stem-and-leaf display. (3 m)
  2. Find the median and IQR of the dataset. (8 m)
  3. By using scientific calculator, calculate the mean and standard deviation of the dataset. (2 m)
  4. Find the percentage of variation in the dataset. (2 m)
  5. Find the measure of skewness. (2 m)

(CLO1:PLO1:C2)(CLO1:PLO7:C2)

  1. The following represents the quantity of products sold by 25 sales representatives in October 2023:

16 19 13 5 13 30 32 12 16 15 9 20 26

22 25 16 9 20 28 21 17 17 15 15 20

  1. Use the Sturges rule to organize this dataset into a grouped frequency distribution. Take 5 as the starting point. (4 m)
  2. Construct a histogram for the frequency distribution established in (a) and approximate the mode quantity of products sold. (5 m)
  3. Construct the ogive for the frequency distribution established in (a). (5 m)
  4. Use the ogive constructed in (c) to approximate

(i) the median quantity of products sold. (2 m)

(ii) the sales representatives who sold more than 20 products. (2 m)

(CLO1:PLO1:C3)(CLO1:PLO7:C3)

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