The following refer to the following data set:71 31 95 48 53 79 6928 3395What is the mean (T) of this data set?mean =(Please show your answer to one decimal place.)What is the median of this data set?median =What is the mode of this data set?mode =

Answered: The following refer to the following…

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

The following refer to the following data set:
71 31 95 48 53 79 69
28 33
95
What is the mean (T) of this data set?
mean =
(Please show your answer to one decimal place.)
What is the median of this data set?
median =
What is the mode of this data set?
mode =

Expert Solution

Step 1

The mean of a dataset is the average value which is computed by dividing the sum of observations by the total number of observations, so $\bar{x} = \frac{\sum x}{n}$ . Median is the observation that divides the dataset into two equal parts when the data is arranged in ascending order.

If there are an even number of observations, then the median is the average of the middle two values that is the average of the term $\frac{n}{2} t h$ and $\frac{n}{2} + 1 t h$ . If there are an odd number of observations, then the median is the observation at term $\frac{n + 1}{2} t h$ . Mode is the value that is repeated the most number of times in the dataset.