I do not have Minitab or and other statistics program. I do need to know how to

Question

I do not have Minitab or and other statistics program. I do need to know how to figure this out manually for the exam. Homework: Section 3.4 Homework 16 of 24 (14 complete) Score 0 of 1 pt 3.4.31 The following are amounts or time (minutes) spent on hygiene and grooming in the morning by survey respondents Determine the 5.number summary and construct a boxplot sor the data given belo 67 79 10 14 16 18 19 19 21 27 36 39 41 49 56 61 The 5-number summary isO. O. Use ascending order. Type integers or

Explanation / Answer

First, sort the numbers in ascending order. These are the 5 point summaries of any set of numbers.

Min, Q1 ( 25th percentile,), Median or Q2 or 50th perc, 75th perc or Q3 and Max

Now, Min and Max can be found easily. 50th percenitle is middle value of the sorted range. Because we have the 19 and 19 as 9th and 10th values, the middle of this number ( which again is 19) is the median.

Q1 and Q3 have been found out as middle of thier adjacent numbers.

Min = 6

Q1= 9.5
Q2 = 19
Q3 = 37.5
Max = 61

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