Answered: The following are scores of students in…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The following are scores of students in their quiz: 1, 2, 3, 4,5. 1. Compute the population mean (µ). 2. Compute the population variance (0²). 3. Compute the population standard deviation (o). The following are the three scores of the students above that are randomly selected: 2, 4 and 5. 4. Compute the sample mean (x). 5. Compute the sample variance (s²). 6. Compute the sample standard deviation (s). Identify which sampling method is applied in the following situations. 1. The teacher randomly selects 20 boys and 15 girls from a batch of learners to be members of a group that will go to a field trip. 2. A sample of 10 mice are selected at random from a set of 40 mice to test the effect of a certain medicine. 3. The people in a certain seminar are all members of two of five groups are asked what they think about the President. 4. A brand manager of a toothpaste asks ten dentists that have clinic closest to his office whether they use a particular brand of toothpaste. 5. A barangay health worker asks every four house in the village for the ages of the children living in those households.

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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