6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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A bar graph is a chart or graphical representation of data. A bar chart, also known as a bar graph, is a graph or chart that displays categorical data using rectangular bars with heights or lengths equal to the values they represent. Typically, bar graph…

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Textbook Question

Chapter 14.2, Problem 23E

In Exercises 21 − 28 , find the mean, median, and mode for each data set. In each case, explain which measure you believe you believe best describes a typical value in the distribution.

College lacrosse. The following table shows the number of goals scored by both teams during the 15 games of the 2016 Division 1 lacrosse tournament:

Games	Total Goals
Maryland vs. Quinnipiac	19
Syracuse vs. Albany	20
Brown vs. Johns Hopkins	25
Navy vs. Yale	23
Notre Dame vs. Air Force	22
North Carolina vs. Marquette	19
Duke vs. Loyola Maryland	27
Towson vs. Denver	19
Maryland vs. Syracuse	20
Brown vs. Navy	21
Notre Dame vs. North Carolina	22
Loyola Maryland vs. Towson	18
Maryland vs. Brown	29
North Carolina vs. Loyola Maryland	31
Maryland vs. North Carolina	27

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Chapter 14.2, Problem 22E

Chapter 14.2, Problem 24E

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Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.

- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.

Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

Chapter 14 Solutions

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Solution Summary: The author calculates the mean, median, and mode of the distribution that is given in the table below.

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