Answered: (c) In general, you cannot find the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

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

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

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

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

4.The distribution is right‑skewed.

The figure is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls.
0 1 2 3
4 5 6 7 8
Servings of fruit per day
(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.)
Qi
1
servings
Number of subjects
15
5.

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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