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Name: These next questions come after part B. Which of the statements correc
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Description: These next questions come after part B. Which of the statements correctly describes the relationship between the mean and median in the histogram of the number of servings of fruit per day claimed by the 7474 seventeen‑year‑old girls? A) The mean and

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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These next questions come after part B.

Which of the statements correctly describes the relationship between the mean and median in the histogram of the number of servings of fruit per day claimed by the 7474 seventeen‑year‑old girls?

A) The mean and median are about equal because the distribution is right‑skewed.

B) The mean is larger than the median because the distribution is right‑skewed.

C) The median is larger than the mean because the distribution is right‑skewed.

D) There is not enough information to tell us about the relationship between the mean and median in the histogram.

What is special about the histogram of the number of servings of fruit that allows you to do this? Select an answer choice.

A) We know exactly how many observations fall in each bin because of the way the bins are constructed.

B) The sample size only consists of only 74 observations. Because the sample size is small, we can find the exact values.

C) The distribution is right‑skewed.

D) There is nothing special about the histogram, you can always find exact values for the median, quartiles, or mean.

median =
servings
Q3
servings
(b) You can also find the mean number of servings of fruit claimed per day from the histogram. First use the information
in the histogram to compute the sum of the 74 observations, and then use this to compute the mean. (Enter your answer
rounded to two decimal places.)
mean =
servings

The figure is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls.
7
8
2 3 4
Servings of fruit per day
1
(a) With a little care, you can find the median and the quartiles from the histogram. What are these numbers? (Enter your
answer rounded to a whole number.)
servings
Q1
Nimber of subjects
15
5.

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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