Problem: The scores of 6 job applicants Given: 6, 12, 9, 10, 6 and 8. Calculate the mean, the range, the mean drviation, the variance, and the standard deviation. Treat the data as population then sample. Compare two result. Interpret the results. The mean, range, and mean deviation has already an answer. Pls continue to the variance, standard deviation, and interpretation. So lution o-18.5-6| = 2-512105-121=3:518.5-9| = 0-518.5-101 = 1:51618.5-61= 2:518.5-81= 05E1ス-&- 1Exi=51the Sample Meah (F) is,X= 8.5the deta aboue the Mean aleviatigh,MADŹ I Xi-Xil1-833M ean deviation MAD= 1.833 Step 3@ there dore,the Maximum and Minimum are!,Maximum= 12Minimum= 6there dore, the range is computert by subtractingthe MinimumJrom dhe Maximam.RergeMaximum - Minimum = 12-6=6Pange

We have given that, The data set are :- 6, 12, 9, 10, 6 and 8 Then, We will find variance,…

Answered: Problem: The scores of 6 job applicants…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 38HP

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Problem: The scores of 6 job applicants

Given: 6, 12, 9, 10, 6 and 8. Calculate the mean, the range, the mean drviation, the variance, and the standard deviation. Treat the data as population then sample. Compare two result. Interpret the results.

The mean, range, and mean deviation has already an answer. Pls continue to the variance, standard deviation, and interpretation.

So lution o-
18.5-6| = 2-5
12
105-121=3:5
18.5-9| = 0-5
18.5-101 = 1:5
16
18.5-61= 2:5
18.5-81= 05
E1ス-&- 1
Exi=51
the Sample Meah (F) is,
X= 8.5
the deta aboue the Mean aleviatigh,
MAD
Ź I Xi-Xil
1-833
M ean deviation MAD= 1.833

Step 3
@ there dore,
the Maximum and Minimum are!,
Maximum= 12
Minimum= 6
there dore, the range is computert by subtracting
the Minimum
Jrom dhe Maximam.
Rerge
Maximum - Minimum = 12-6
=6
Pange

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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