Question
Asked Feb 25, 2019
  1. Refer back to the histogram attached.  a. Compute the mean number of shipping days b. Compute the median number of shipping days c. Write the 5-number summary for this data. d. Create box plot.
5
4
3
2
876543210
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5 4 3 2 876543210

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Step 1

Obtain the data from the given histogram:

Histogram:

The graphical representation of classes or events of the quantitative data in the horizontal axis and class or event frequency in the vertical axis displayed in terms of bar is termed as histogram.

Here, the data corresponding to the variable “number of shipment days” is displayed in the given histogram. In the given histogram, the horizontal axis represents the values of the variable “number of shipment days” and the vertical axis represents the frequency or number of occurrences of each value of the variable “number of shipment days”.

From the horizontal axis of the given graph it can be seen that, the variable “number of shipment days” contains the values 1, 2, 3, 4 and 5.

From the vertical axis of the given histogram, it can be seen that the value “1” of the variable “number of shipment days” has occurred 4 times, the value “2” has occurred 8 times, the value “3” has occurred 6 times, the value “4” has occurred 0 times and the value “5” has occurred 1 time.

The dataset of the variable “number of shipment days” is given below:

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Step 2

a.

Obtain mean number of shipment days.

The sample size of number of shipment days is n = 19.

Mean:

Mean is a measure of center in case of quantitative data. Mean of a data set is the sum of the data set divided by the size.

The general formula for mean is,

x-bar = sum of observations xi/total number of observations.

Consider the variable X represents the number of shipment days.

The data points of the variable are X: 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5.

The mean number of shipment days is obtained as 2.2632 from the calculation given below:

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Step 3

b.

Obtain the median number of shipment days.

The median of the dataset is nothing but the second quartile of the dataset.

The data points of the variable X is arranged in ascending order as follows:

1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 and 5.

The number of observations in the dataset ...

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