An incoming MBA student took placement exams in economics and mathematics. In economics, she scored85and in math85The overall results on the economics exam had a mean of75and a standard deviation of10while the mean math score was70with a standard deviation of12On which exam did she do better compared with the other students?Since she scoredenter your response herestandard deviations▼ belowabovethe mean in economics andenter your response herestandard deviations▼ belowabovethe mean in mathematics, she did better on the▼ mathematicseconomicsexam.

The objective of the question is to determine on which exam the student performed better compared to…

Answered: An incoming MBA student took placement…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

An incoming MBA student took placement exams in economics and mathematics. In economics, she scored

and in math

The overall results on the economics exam had a mean of

and a standard deviation of

while the mean math score was

with a standard deviation of

On which exam did she do better compared with the other students?

Since she scored

enter your response here

standard deviations

▼

below

above

the mean in economics and

enter your response here

standard deviations

▼

below

above

the mean in mathematics, she did better on the

▼

mathematics

economics

exam.

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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