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The plot that organizes the data into 4 groups of equal sizes is box and whisker plot.
The image below shows a box and whisker plot. Following are the elements of box and whisker plot:
Minimum = This is the smallest value of the data set
Q1 = First (Lower) Quartile of the data set. 25% of the data values lie below this point
Q2 = Second Quartile or Median. This is the central value so 50% of the data values lie below this point
Q3 = Third (Upper) Quartile of the data set. 75% of the data values lie below this point.
Maximum = This is the maximum value of the data set.
Based on box and whisker plot we can compare two or more sets of data by comparing the spread of the data. We can also directly observe from the box and whisker plot if the data is uniform, normal or skewed. Using box and whisker plot we can also visualize any outliers that may be in the data.
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
<h3>What is standard deviation?</h3>Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here given that
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes
mean=μ=60
standard deviation=σ=15.9
number of sample=n=40
Now we can calculate z by z-score formula as
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
To learn more about standard deviation visit :brainly.com/question/12402189