The probability distribution for the number of students in Statistics classes offered at a small college is given, but one value is missing. Fill in the missing value, then answer the questions that follow.XP(X)220.18230.22240.2525 260.2Find the mean number of students in a Statistics class at the college: Find the standard deviation of the number of students in a Statistics class at the college: The probability distribution for the number of students in Statistics classes offered at a smallcollege is given, but one value is missing. Fill in the missing value, then answer the questionsthat follow.X220.1823 0.22240.252526 0.2P(X)Find the mean number of students in a Statistics class at the college:Find the standard deviation of the number of students in a Statistics class at the college:

X P(X) 22 0.18 23 0.22 24 0.25 25 26 0.2

Answered: The probability distribution for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The probability distribution for the number of students in Statistics classes offered at a small college is given, but one value is missing. Fill in the missing value, then answer the questions that follow.

X	P(X)
22	0.18
23	0.22
24	0.25
25
26	0.2

Find the mean number of students in a Statistics class at the college:

Find the standard deviation of the number of students in a Statistics class at the college:

The probability distribution for the number of students in Statistics classes offered at a small
college is given, but one value is missing. Fill in the missing value, then answer the questions
that follow.
X
22
0.18
23 0.22
24
0.25
25
26 0.2
P(X)
Find the mean number of students in a Statistics class at the college:
Find the standard deviation of the number of students in a Statistics class at the college:

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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