Answered: Show your complete solutions A…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 51E

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Show your complete solutions A sociologist feels that the median age at which women marry in Palawan, is less than the median age of 26.9 throughout the Philippines. Based on a random sample of 20 marriage certificates from the county, she obtains the ages shown in the following table:

No.
Age
No.
Age
1
31
11
24
2
27
12
28
3
30
13
25
4
25
14
23
5
21
15
22
6.
27
16
24
7
32
17
24
8.
23
18
22
9.
30
19
26
10
24
20
27

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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