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MATH 121 BAIC PROBABILITY&STATISTICS; Spring 2017-2018 Homework assignment# 1-2

ID: 3057393 • Letter: M

Question

MATH 121 BAIC PROBABILITY&STATISTICS; Spring 2017-2018 Homework assignment# 1-2 CHAPTER 2 Part3: Descriptive Statistics-Quantitative (Numeric) Q2. Construct a stem-and-leaf display. The given data contains the caffeine content (in milligrams per ounce) for a sample of 26 Energy drinks: .2 1.5 4.6 8.9 9.09.43 0.010.1 9.9 11.5 11.8 11.7 13.8 14.0 6 74.10.8 26.3 17.7 1133 32.5 14.0 91.6 127.4 a. Construct an ordered array b. Does the ordered array or stem-and-leaf display provide more information? Discuss.

Explanation / Answer

for the given data the data in assending data is

data
1.5
3.2
4.6
7.1
8.9
9.0
9.4
9.9
10.0
10.1
10.8
11.5
11.7
11.8
13.8
14.0
14.0
16.1
17.7
26.3
31.2
32.5
74.1
91.6
113.3
127.4

b) the stem and leaf plot is below

FREQ STEM LEAF

8 0 13478999
(11) 1 00011134467
7 2 6
6 3 12
4 4
4 5
4 6
4 7 4
3 8
3 9 1
2 10
2 11 3
1 12 7

the first column describes the frequence of that occurance. Here the plot ignores the digits after decimal

and take the digit as 3 digit before decimal( that is takes 1.5 as 001, 127.4 as 127) . here considers stem as first 2 digit ( here 0 as stem and 1 as leaf for 1.5, 12 as stem and 7 as leaf) takes as stem and the 3rd digit as stem.