Answered: The following are weights (in pounds)…

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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1. Measures of location - Percentiles, deciles, and quartiles

A growth chart is a plot of the percentiles of growth measurements, such as weight and height, for a population of infants or children. It is used by pediatricians to assess a child's growth over time.

The Centers for Disease Control and Prevention (CDC) is a U.S. agency that has developed growth charts for clinical use by health professionals. The most recent charts were published in 2000.

Growth Chart: Weight by Age for Girls 0-24 Months at the 2nd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, and 98th Percentiles

The 2000 CDC growth charts use a reference population of both breast-fed and formula-fed infants. Breast-fed babies tend to gain weight more rapidly than formula-fed babies in the first 2 to 3 months of their lives, but they tend to weigh less than formula-fed babies from 6 to 12 months.

Meena is a healthy baby who was exclusively breast-fed for her first 12 months. Which of the following is most likely a description of her weights (at 3, 6, 9, and 12 months of age) as percentiles of the CDC growth chart reference population?

20th percentile at 3 months; 50th percentile at 6 months; 80th percentile at 9 months; 90th percentile at 12 months

80th percentile at 3 months; 80th percentile at 6 months; 80th percentile at 9 months; 90th percentile at 12 months

70th percentile at 3 months; 40th percentile at 6 months; 30th percentile at 9 months; 25th percentile at 12 months

40th percentile at 3 months; 40th percentile at 6 months; 40th percentile at 9 months; 40th percentile at 12 months

The following are weights (in pounds) for a sample of 12 baby girls at the age of 16 months:

Weights of 16-Month-Old Baby Girls

Baby	Weight
1	20.6
2	21.2
3	22.5
4	23.4
5	24.6
6	25.9
7	26.5
8	27.3
9	28.1
10	29.7
11	30.8
12	31.5
	N = 12

The 1st quartile for the sample data is pounds, the 2nd quartile is pounds, and the 3rd quartile is pounds.

The 1st decile for the sample data is pounds, the 5th decile is pounds, and the 9th decile is pounds.

Occasionally with statistics, but particularly with measures of position, you can have multiple terms for the same thing. For example, which of the following terms are equivalent to the median? Check all that apply.

The 50th percentile

The mode

The 5th percentile

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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