Below you will find a list of the the top serve speeds of female competitors from the 2012 Australian Open tennis tournament. 1) Compute the mean top serve speed from this list using a single Exoel formula in Cell540. 2) Compute the standard deviation of the top serve speed from this list using a single Excel formula in Cell B41 3) Compute the score for each player's top serve speed and enter these values in cells C19-C38. lexpect you to use a formula and reference the cells containing the mean and standard deviation cells (840 and B41). Itis wise to use the permanent reference option ie S8540) so you can easily copy the formula down the column. Be sure cell C19 correctly copies over to the answer sheet for Question 3. 4) Compute the mean and standard deviation of this data in score using the appropriate formulas in cells C40 and C41, respectfully. If you have computed these correctly, these are the values for the mean and standard deviation for any sample that has been converted to z-score. 5) Returning to the original values of the serve speeds (nat the zscores use the Excel formula to compute the median serve speed and report it in cell B44. 6) Compare the mean from cell B41 and the median from cell B44. Based on this comparison, do you expect the data to be positively or negatively skewed? Explain your reasoning in a single sentence in cell 847. 7) Use the Descriptive Statistics function found in Excel's Data Analysis application to produce the summary statistics for this sample of top serve speeds such that the upper left hand corner of this output is found in cell 849. 8) In cell B66, evaluate your expectations of the skewness from O6 with the reported skewness statistic from the summary statistics in Q7. Serve Speed (kmh) Z-score 191 190 187 187 Player S. Williams S. Lisicki M Keys L. Hradecka J. Gajdosova J. Hampton B. Mattek-Sands F. Schiavone P. Parmentier N. Petrova G. Am V. Azarenka 187 179 179 179 179 178 178 A. Ivanovic P. Kvitova M Krajicek V. Dushevina S. Stosur S. Cirstea M Barthel P. Ormaechea 178 178 178 178 177 177 177 Mean St Dev.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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