Question

researcher has obtained the number of hours worked per week during the summer for a sample of twenty students.

19

25

35

33

28

44

34

21

40

18

35

30

34

46

23

36

42

17

14

22

Create the Stem and leaf and find the following parts:

\large Q_1 =

\large Q_2 =   

\large Q_3 =

\large IQR =   

\large LowerFence =   

\large UpperFence =

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Answer 1

For Stem-Leaf Plot, Firstly arrange all records in increasing order

And then group the numbers according to tenth digit place (i.e. 1,2,3,4) which will be stem and that will give groups according to 10's 20's 30's and 40's.

And in leaf we will have all units digits of all groups in increasing order.

Thus making two columns table (Stem and Leaf)

• Key -

2	1 means 21

Stem	Leaf
1	4	7	8	9
2	1	2	3	5	8
3	0	3	4	4	5	5	6
4	0	2	4	6

Analyzing this plot and creating five point summary(20 records) -

Minimum Value		14
Lower Quartile()	Median of Lower Half (below Q2)=Average of 5th and 6th term	21.5
Median()	Average of 10th and 11th term	31.5
Upper Quartile()	Median of Upper Half (above Q2)=Average of 15th and 16th term	35.5
Maximum Value		46

Inter Quartile Range(IQR) = = 35.5-21.5 = 14

Lower Fence = = 21.5 - (1.5 * 14 ) = 21.5 - 21 = 0.5

Upper Fence = = 35.5 + (1.5*14) = 35.5+21 = 56.5