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The manager of an automobile showroom studied the time spent by each salesman interacting with the customer in a month apart from the other jobs

The manager of an automobile showroom studied the time spent by each salesman interacting with the customer in a month apart from the other jobs assigned to them. The data in hours are given below.

17 18 20 15 19 10 26 13 17 24 14 26

1.Compute the median. [2pts]

2. interpret the value of the median in a sentence. [3pts]

3. Given that we want to sort data in 4 non overlapping bins, provide lower and upper limits for each of the 4 bins as per the following format.[3pts]

Consider the bin width equal 4. you are given the first bin as shown below.

bin1: [10 13]

bin2: [min max]

bin3: [min max]

bin4: [min max]

4. calculate the frequency of classes, relative frequency and cumulative relative frequency given each bin. [7pts]

bin frequency relative frequency cumulative relative frequency
[.5pts] [.5pts] [1pt]
[.5pts] [.5pts] [1pt]
[.5pts] [.5pts] [1pt]
[.5pts] [.5pts] 1

5. interpret the relative frequency values in the table. [4pts]

6. interpret the cumulative relative frequency for bin2. Put your interpretation in a sentence. [4pts]

7. draw the histogram, (use paint, excel or a paper). [3pts]

8. Comment on the shape of the distribution. Justify your answer [4pts]

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