Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 3, Problem 3.6P
Textbook Problem
786 views

Expert Solution
To determine

To find:

The most appropriate measures of central tendency for each variable.

Explanation of Solution

Provinces and Territories:

For year 2000:

Mean:

The formula to calculate mean is given by,

X¯=i=1NXiN

Substitute 13 for N, 38, 800 for X1, 44, 200 for X2 and so on in the above mentioned formula,

X¯=38,800+44,200+...+61,000+37,60013=62610013=48161.54

Median:

Arrange the data in ascending order.

The number of terms is 13, which is odd.

The median for the odd number of terms is given by,

Median=(Number of terms+1)2

Substitute 13 for number of terms in the above mentioned formula,

Median=(13+1)2=142=7

The median corresponding to 7th number from the ordered data is 47, 300.

Therefore, the median is 47, 300.

For year 2011,

Mean:

The formula to calculate mean is given by,

X¯=i=1NXiN

Substitute 13 for N, 37, 200 for X1, 66, 500 for X2 and so on in the above mentioned formula,

X¯=67,200+66,500+...+105,560+65,28013=97141013=74723.85

Median:

Arrange the data in ascending order.

The number of terms is 13, which is odd.

The median for the odd number of terms is given by,

Median=(Number of terms+1)2

Substitute 13 for number of terms in the above mentioned formula,

Median=(13+1)2=142=7

The median corresponding to 7th number from the ordered data is 68, 710.

Therefore, the median is 68, 710.

State:

For year 1999,

Mean:

The formula to calculate mean is given by,

X¯=i=1NXiN

Substitute 13 for N, 36, 213 for X1, 51, 509 for X2 and so on in the above mentioned formula,

X¯=36,213+51,509+...+35,962+38,97813=54905713=42235

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