Judging by the shape of the histogram, would it be appropriate to use the mean as the measure of the center or would it be best to use the median? The following histogram shows the starting salaries for several entry level jobs.A histogram of starting salary108SalaryFrequency4.2.25,00027,50030,00032,50035,00037,50040,000

Mean and median gives the measure of central tendency of the data.Histogram shows the frequency of…

Answered: Judging by the shape of the histogram,…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.1: Stem-and-leaf Plots And Histograms

Problem 10E

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Judging by the shape of the histogram, would it be appropriate to use the mean as the measure of the center or would it be best to use the median?

The following histogram shows the starting salaries for several entry level jobs.
A histogram of starting salary
10
8
Salary
Frequency
4.
2.
25,000
27,500
30,000
32,500
35,000
37,500
40,000

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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