Question

In: Economics

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

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 =

Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Blank 6:
Blank 7:
Blank 8:
Blank 9:
Blank 10:
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Blank 13:
Blank 14:
Blank 15:
Blank 16:
Blank 17:
Blank 18:
Blank 19:
Blank 20:
Blank 21:
Blank 22:
Blank 23:
Blank 24:
Blank 25:
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Solutions

Expert Solution

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


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