I need help filling in the following blanks based on the attached table:The median frequency of attendance is [Blank]. This means [Blank] percent of people in this sample attend [Blank] or less. The 36th percentile is [Blank]. That means [Blank] percent of people in the same area attend [Blank] or less frequently.The 65th percentile is [Blank]. That means [Blank] percent of people in the same area attend [Blank] or less frequently. frequently. Snip & SketchA NewHow often R attends religious servicesCumulativeFrequencyValid PercentPercentValidNever72325.425.4Less than once a year1736.131.4Once a year38513.544.9Several times a year31210.955.9Once a month1906.762.62-3 times a month2508.871.3Nearly every weekEvery week1264.475.848116.992.6More than once a week2107.4100.0Total2850100.08:00 PMO O A de2/3/2022P Type here to search

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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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Question

I need help filling in the following blanks based on the attached table: The median frequency of attendance is [Blank]. This means [Blank] percent of people in this sample attend [Blank] or less. The 36th percentile is [Blank]. That means [Blank] percent of people in the same area attend [Blank] or less frequently. The 65th percentile is [Blank]. That means [Blank] percent of people in the same area attend [Blank] or less frequently. frequently.

Snip & Sketch
A New
How often R attends religious services
Cumulative
Frequency
Valid Percent
Percent
Valid
Never
723
25.4
25.4
Less than once a year
173
6.1
31.4
Once a year
385
13.5
44.9
Several times a year
312
10.9
55.9
Once a month
190
6.7
62.6
2-3 times a month
250
8.8
71.3
Nearly every week
Every week
126
4.4
75.8
481
16.9
92.6
More than once a week
210
7.4
100.0
Total
2850
100.0
8:00 PM
O O A de
2/3/2022
P Type here to search

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.

Expert Solution

Step 1

$M e d = S i z e o r v a l u e o f (\frac{n + 1}{2}) t h o b s e r v a t i o n i n t h e d a t a a r r a y$ . $Q u a r t i l e s : T h e v a l u e s o f o b s e r v a t i o n s i n a d a t a s e t, w h e n a r r a n g e d i n a n o r d e r e d s e q u e n c e, c a n b e d i v i d e d i n t o 4 e q u a l p a r t s, o r q u a r t e r s, u \sin g t h r e e q u a r t i l e s n a m e l y Q_{1}, Q_{2}, Q_{3} . T h e f i r s t q u a r t i l e Q_{1} d i v i d e s a d i s t r i b u t i o n i n s u c h a w a y t h a t 25 p e r c e n t (= n / 4) o f t h e o b s e r v a t i o n s h a v e a v a l u e l e s s t h a n Q_{1} a n d 75 p e r c e n t (= 3 n / 4) h a v e a v a l u e m o r e t h a n Q_{1} .$

	Frequency	Valid Percent	Cumulative Percent
Never	723	25.4	25.4
Less than once a year	173	6.1	31.5
Once a year	385	13.5	45
Several times a year	312	10.9	55.9
Once a month	190	6.7	62.6
2-3 times a month	250	8.8	71.4
Nearly every week	126	4.4	75.8
Every week	481	16.9	92.6
More than once a week	210	7.4	100
Total	2850	100