Chapter 2, Problem 11RE

(a)

To determine

To construct: A back-to-back stem-and-leaf plot

Answer to Problem 11RE

Theback-to-back stem-and-leaf plot is constructed

Explanation of Solution

Calculation:

To construct the stem-and-leaf plot, the data needs to be sorted.

The sorted data is tabulated below.

Royalty	President
$12$	$46$
$15$	$49$
$28$	$56$
$32$	$56$
$33$	$57$
$35$	$57$
$40$	$58$
$40$	$60$
$41$	$60$
$42$	$63$
$43$	$63$
$46$	$64$
$48$	$64$
$49$	$65$
$49$	$66$
$49$	$67$
$51$	$67$
$52$	$67$
$54$	$68$
$55$	$70$
$56$	$71$
$56$	$71$
$58$	$72$
$58$	$73$
$59$	$74$
$64$	$77$
$65$	$78$
$67$	$78$
$67$	$79$
$67$	$80$
$67$	$81$
$68$	$83$
$68$	$85$
$69$	$88$
$70$	$90$
$71$	$90$
$76$	$93$
$77$	$93$
$81$
$81$

The highest stem is $9$ and thelowest stem is $1$ . The stem and leaf display data is followed as

Royalty		President
Leaf	Stem	Leaf
5 2	1
8	2
5 3 2	3
9 9 9 8 3 2 1 0 0	4	6 9
9 8 8 6 6 5 4 2 1	5	6 6 7 7 8
9 8 8 7 7 7 7 5 4	6	0 0 3 3 4 4 5 6 7 7 7 8
7 6 1 0	7	0 1 1 2 3 4 7 8 8 9
1 1	8	0 1 3 5 8
	9	0 0 3 3
	In this $1|2$ means $12$

Hence, the back-to-back stem-and-leaf plot is constructed.

Conclusion:

Therefore, the back-to-back stem-and-leaf plot is constructed

(b)

To determine

To construct: The back-to-back stem-and-leaf plot with split stems

Answer to Problem 11RE

The back-to-back stem-and-leaf plot with split stems is constructed

Explanation of Solution

The back-to-back stem and leaf display data is followed as

Royalty		President
Leaf	Stem	Leaf
	1	2
	1	5
	2
	2	8
	3	2 3
	3	5
	4	0 0 1 2 3
9 6	4	6 8 9 9 9
	5	1 2 4
8 7 7 6 6	5	5 6 6 8 8 9
4 4 3 3 0 0	6	4
9 7 7 7 6 5	6	5 7 7 7 7 8 8 9
4 3 2 1 1 0	7	0 1
9 8 8 7	7	6 7
3 1 0	8	1 1
8 5	8
3 30 0	9
	In this $1|2$ means $12$

Hence, the back-to-back stem-and-leaf plot with split stems is constructed.

Conclusion:

Therefore,the back-to-back stem-and-leaf plot with split stems is constructed

(c)

To determine

To find: The more appropriate data

Answer to Problem 11RE

The more appropriate data is stem and leaf plot part b

Explanation of Solution

Calculation:

The more appropriate data is stem and leaf plot part b.

Hence, the more appropriate data is stem and leaf plot part b.

Conclusion:

Therefore, the more appropriate data is stem and leaf plot part b