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In the first month [June 2022] of his restaurant, Jonathan has been recording the number of customers he received per day in order to plan

In the first month [June 2022] of his restaurant, Jonathan has been recording the number of customers he received per day in order to plan for future success of the business. The table below portrays the recorded data.

15 12 11 10 8 15
12 10 9 9 7 12
11 8 7 10 11 7
13 12 11 9 8 7
12 14 12 11 9 12

Required:

  1. Construct a cumulative frequency distribution table including data points (daily number of customers), frequency, relative frequency (expressed as %), and cumulative frequency.
  2. Extend your frequency table on Q1 above to compute the value of the following measures of central tendency and interpret each in the provided context.
    1. Mean
    2. Median
    3. Mode
  3. Create a bar chart illustrating the distribution of data
  4. Is data normally distributed? If yes, why? If not, how are they skewed, right or left?
  5. In reference to the nature of data distribution, what would be the best fit measure (mean, mode, and median) for Jonathan projection?
  6. Calculate and interpret the following values in the provided context.
    1. Standard deviation
    2. Coefficient of variation
    3. Standard error of the mean (SEM)
    4. Interquartile range
    5. D9
    6. P10
    7. In reference to D9 and P10 calculated above, how many customers did Jonathan receive per day in the middle 24 days?
    8. If data is assumed to follow normal distribution, for how long did Jonathan receive from 8 to 12 customers?

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