Table of Contents

#### MTH633 MIDTERM SOLVED PAPERS

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**Group Theory:**

JAMES WARD BROWN is a Professor of Mathematics at The University of Michigan– Dearborn. He earned his A.B. in physics from Harvard University and his A.M. Grouping error” refers to the error that is introduced by the assumption that all the values falling in a class are equal to the mid-point of the class interval. In reality, it is highly improbable to have a class for which all the values lying in that class are equal to the mid-point of that class. This is

why the mean that we calculate from a frequency distribution does not give exactly the same answer

as what we would get by computing the mean of our raw data.

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**MTH633 MIDTERM PAST PAPERS BY MOAAZ:**

As indicated earlier, a frequency distribution is used to calculate the approximate values of various descriptive measures. (The word ‘approximate’ is being used because of the grouping error that was just discussed.)

**MTH633 MIDTERM SOLVED PAPERS:**

This grouping error arises in the computation of many descriptive measures such as

the geometric mean, harmonic mean, mean deviation, and standard deviation. But, experience has

shown that in the calculation of the arithmetic mean, this error is usually small and never serious.

**MTH633 MIDTERM SOLVED PAPERS BY MOAAZ:**

Only a slight difference occurs between the true answer that we would get from the raw data, and the answer that we get from the data that has been grouped in the form of a frequency distribution. and Ph.D. in mathematics from The University of Michigan in Ann Arbor, where he was an Institute of Science and Technology Predoctoral Fellow.