Using the following stem & leaf plot, find the five number summary for the data by hand. 1|5 6 2|3 7 9 3|3 7 4|4 6 8 9 5|0 3 4 5 8 6|2 3

a. Min =
b. Q1 =
c. Med =
d. Q3 =
e. Max =

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Answer:

Step-by-step explanation:

given is a set of data in steam and leaf plot.

Before finding five number summary, let us write in full form from stem and leaf

The data set consists of

15, 16, 23, 27, 29, 33, 37, 44, 46, 48, 49, 50, 53, 54, 55, 58, 62,63

The data itself is an ascending order.  Hence we find min as I entry max as last entry median as the average of 46 and 48, since there are 18 entries.

Q1 is the 5th entry and Q3 is the 5th entry from the last.

We find that

a) Minimum: 15

b) Quartile Q1: 29

c) Median: 47

d) Quartile Q3: 54

e) Maximum: 63

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