Two players, Fredo and Karl, on different teams wanted to find out who scored the higher number of points when compared to the other players on his team.Table 2.57PlayerHis Average PointsOther's Average PointsOther's Standard DeviationFredo13715210Karl12715130Which player had the higher average points when compared to the other players on his team? Fredo KarlUse Table 2.57 to find the value that is three standard deviations above the mean for each team.Enter the exact answers. Fredo's team: Karl's team: Use Table 2.57 to find the value that is three standard deviations below the mean for each team.Enter the exact answers. Fredo's team: Karl's team:

Answered: Two players, Fredo and Karl, on…

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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Question

Two players, Fredo and Karl, on different teams wanted to find out who scored the higher number of points when compared to the other players on his team.

Table 2.57

Player	His Average Points	Other's Average Points	Other's Standard Deviation
Fredo	137	152	10
Karl	127	151	30

Which player had the higher average points when compared to the other players on his team?

Fredo

Karl
Use Table 2.57 to find the value that is three standard deviations above the mean for each team.

Enter the exact answers.

Fredo's team:

Karl's team:
Use Table 2.57 to find the value that is three standard deviations below the mean for each team.

Enter the exact answers.

Fredo's team:

Karl's team:

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 + ...

Expert Solution

Step 1

Sol:-

Based on the given data, Fredo's average points are lower than the other players' average points on his team, while Karl's average points are lower than the other players' average points on his team.