Answered: The number of visitors to a tourist…

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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The number of visitors to a tourist attraction was recorded for a period of 7 sample weeks,
4210 3543 4342 4711 4563 4378
3643
Using the data above, answer the following questions;
a) Find the mode.
b) Using your calculator in STATS mode, or otherwise, calculate the mean to 3 decimal
places.
c) Calculate the median.
d) Calculate the range of the data.
e) Calculate the inter-quartile range of the data. Using your calculator in STATS mode, or otherwise, calculate the standard deviation
of this sample, to 2 decimal places.
g) Sketch a box and whisker diagram of the data.
h) Comment on the skewness of the data (skewed or symmetric). Give a relevant reason for the answer.

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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