This is the full question and information given. I need help with the median number of hours worked A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Theirresponses are shown on the right.63136.712Determine the shape of the distribution of hours worked by drawing a frequency histogram and computing the mean and median.Which measure of central tendency better describes hours worked?15131618112511712Choose the correct frequency histogram below.YA.В.Oc.Hours Workedper WeekHours Workedper WeekHours Workedper Week10203010 203010 20 30hourshourshoursIs the histogram for the data set skewed right, skewed left, or symmetric?skewed leftskewed rightO symmetricThe mean number of hours worked by college students outside the home is approximately 12.867 hours.(Type an integer or decimal rounded to three decimal places as needed.)The median number of hours worked by college students outside the home ishours.FrequencyFrequencyFrequency

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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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This is the full question and information given. I need help with the median number of hours worked

A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Their
responses are shown on the right.
6
31
3
6.
7
12
Determine the shape of the distribution of hours worked by drawing a frequency histogram and computing the mean and median.
Which measure of central tendency better describes hours worked?
15
13
16
18
11
25
11
7
12
Choose the correct frequency histogram below.
YA.
В.
Oc.
Hours Worked
per Week
Hours Worked
per Week
Hours Worked
per Week
10
20
30
10 20
30
10 20 30
hours
hours
hours
Is the histogram for the data set skewed right, skewed left, or symmetric?
skewed left
skewed right
O symmetric
The mean number of hours worked by college students outside the home is approximately 12.867 hours.
(Type an integer or decimal rounded to three decimal places as needed.)
The median number of hours worked by college students outside the home is
hours.
Frequency
Frequency
Frequency

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

The ascending order of the data is 3, 6, 6, 7, 7, 11, 11, 12, 12, 13, 15, 16, 18, 25, 31.

The position of second quartile value for odd sample size is,

$\begin{array}{rcl} S e c o n d q u a r t i l e & = & {[\frac{50 (n + 1)}{100}]}^{t h} D a t a v a l u e \\ = & {[\frac{50 (15 + 1)}{100}]}^{t h} D a t a v a l u e \\ = & 8^{t h} D a t a v a l u e \end{array}$

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