Answered: Refer to the data set of birth weights…

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

Refer to the data set of birth weights (grams) of the 44 babies given in the accompanying table and use software or a calculator to find the mean and median. Examine the list of birth weights to make an observation about those numbers. How does that observation affect the way that the results should be rounded?

a. The mean of the data set is grams.

(Round to one decimal place as needed.)

b. The median of the data set is grams.

(Round to one decimal place as needed.)

1900 2700 2900 3200 2800 4000 4000 3500 2700 2200 1900 3400
3700 3600 3300 3400 2800 2700 3000 3200 3500 4300 2800 3000
2900 2900 3500 3600 3700 3100 3500 2900 2000 3700 3300 1800
4700 2800 2400 2400 3200 2300 3200 3400

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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