Answered: As a Physical Education teacher of ADU,…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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Question

As a Physical Education teacher of ADU, Sir Loui wants to compute for the Body Mass Index of few students as part of his research. As a start, the following are the height of five students in meters. Jaeight- 1.47; Mae - 1.58; Grace - 1.67; Dyan - 1.69 and Ruzz - 1.51. Supposed samples of size 2 are taken from this population of five students. Construct a sampling distribution for the solutions and answers.

a. What is the probability of getting a mean of 1.57?
b. What is the mean of the sampling distribution of sample means?
c. How many possible outcomes?
d. What is the variance of the population?
e. What is the mean of the population?
f. What is the standard deviation of the sampling distribution of sample means?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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