By Mohammed A. Shayib
Utilized statistics has come into life as an final result of an test and huge adventure of greater than forty years. utilized information is meant to introduce the innovations, definitions, and terminology of the topic in an straight forward presentation with minimal mathematical heritage which doesn't surpass university algebra. utilized records should still arrange the reader to make a great determination in line with info. the cloth, contained in utilized information, might be coated in a 15-week, 3-hours-per-week semester, with little adjustment as time permits.
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5. It takes into account every item of the data set. 6. It is very sensitive to any minor change in the data. In addition to the mean, or the arithmetic average, defined above, there are two other kinds of averages which are used in some special cases, and they are worth noting here. Those are: The Geometric mean, and the harmonic mean. x2 …. xn)1/n, or n ∏X ) Ḡ= ( i 1 1/ n . The Harmonic mean, Hbar H H == n/ n ∑ (1/ X ) . 15 Consider the following set of data: 34, 15, 20, 7, 8, 9, 10, 22, 18, 30, 11, 12, and 19.
20 If there are 8 horses in a race, in how many different ways can they be placed First, Second and Third? 1. 2. 7. 24 Mrs. Food wishes to develop a new type of meatloaf to sell at her restaurant. 80 per pound). What is the cost per pound of the meatloaf? 25 Determine the original set of data below. The stem represents tens digit and the leaf represents the ones digit. 26 Determine the original set of data below. The stem represents ones digit and the leaf represents the tenths digit. 1, a) By using the units as the leaf, b) By using a split stem.
While i =1 3 X i2 = 2 ∑ i =1 2 + 52 + 62 = 4 + 25 +36 = 65. Clearly, the order of operations makes a big difference. In 3 X i2, squaring each number is done first ∑ i =1 2 3 and then we add those squared values, while in ∑ X i , we add all the values first, and then we square i =1 2 3 3 X i2 ≠ ∑ X i . their total. Quite clear that i =1 i =1 ∑ n n n X Y X ≠ ∑ i i ∑ i . ∑ Yi . = i1 = i 1= i1 B. Clearly the left hand side above can be expressed as n ∑XY =XY i =1 i i 1 1 + X2Y2 + …+ XnYn, While the right hand side is given by n n X ∑ i .
Applied Statistics by Mohammed A. Shayib