The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot for the data. Comment on the 64shape of the distribution.5848556147464956525550634862The five-number summary isO000.0(Use ascending order.)Choose the correct boxplot of the data below.O A.B.Oc.30 40 50 60 70 8030 40 50 6o 70 8030 40 50 00 70 80Choose the correct description of the shape of the distribution.O A. The distribution is roughly symmetric.O B. The distribution is skewed to the right.OC. The distribution is skewed to the left.O D. The shape of the distribution cannot be determined from the boxplot.

Name: The data represent the age of world leaders on their day of inaugurat
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Description: The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot for the data. Comment on the 64shape of the distribution.5848556147464956525550634862The five-number summary isO000.0(Use

Answered: The data represent the age of world…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot for the data. Comment on the 64
shape of the distribution.
58
48
55
61
47
46
49
56
52
55
50
63
48
62
The five-number summary isO000.0
(Use ascending order.)
Choose the correct boxplot of the data below.
O A.
B.
Oc.
30 40 50 60 70 80
30 40 50 6o 70 80
30 40 50 00 70 80
Choose the correct description of the shape of the distribution.
O A. The distribution is roughly symmetric.
O B. The distribution is skewed to the right.
OC. The distribution is skewed to the left.
O D. The shape of the distribution cannot be determined from the boxplot.

Expert Solution

Step 1

arrange the data into ascending order

46 47 48 48 49 50 52 55 55 56 58 61 62 63 64

$Q U A R T I L E Q_{i} = \frac{i (n + 1)}{4} Q_{1} = \frac{1 (15 + 1)}{4} Q_{1} = \frac{16}{4} Q_{1} = 4^{t h} o b s e r v a t i o n Q_{1} = 48 Q_{2} = \frac{2 (15 + 1)}{4} Q_{2} = m e d i a n = \frac{32}{4} Q_{2} = 8^{t h} o b s e r v a t i o n Q_{2} = 55 Q_{3} = \frac{3 (15 + 1)}{4} Q_{3} = \frac{48}{4} = 12^{t h} o b s e r v a t i o n Q_{3} = 61$

Minimum: 46

First Quartile:48

Median:55

Third Quartile:61

Maximum:64

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