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The table provided showcases the attendance figures at Adventure World Museum for the past 100 days. No. of Visitors No. of Days 21 40 21

  1. The table provided showcases the attendance figures at Adventure World Museum for the past 100 days.
No. of Visitors No. of Days
21 40 21
41 60 4y+3
61 80 27
81 100 2y-3

  1. Find the value of mean, mode and standard deviation for this dataset. (9 m)
  2. By comparing the values of mean and mode, what can you say about the skewness of this data? Justify your answer with the Pearsons measure of skewness. (3 m)
  3. The mean and standard deviation for the attendance at Wonderful Museum over the same period of time are 54 and 23.5 respectively. Determine which museum has relatively more dispersed number of attendance. Justify your answer. (5 m)

(CLO1:PLO1:C4)(CLO1:PLO7:C4)

  1. The table provided displays the weights of 80 pumpkins harvested from a field known as Bountiful Harvest Farm.

Weight (kg) Frequency
3 5 y-1
5 7 y+7
7 9 3y-7
9 11 2y
11 13 11

  1. Find the mean and median for this dataset. (6 m)
  2. Find the variance and standard deviation for this dataset. (4 m)
  3. By comparing the values of mean and median, what can you say about the skewness of this data? Justify your answer with the Pearsons measure of skewness. (3 m)
  4. A farm called HeavenFruit produces pumpkin with a mean weight of 6.8kg and standard deviation of 1.9kg. Which farm shows a more consistent weight in their pumpkin? Justify your answer. (5 m)

(CLO1:PLO1:C4)(CLO1:PLO7:C4)

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