students in a class were each asked to write down how many CDs they owned. The student with the least number of CDs had 14 and all but one of the others owned 60 or fewer. The remaining student owned 65. The quartiles for the class were 30‚ 34 and 42 respectively. Outliers are defined to be any values outside the limits of 1.5(Q3 – Q1) below the lower quartile or above the upper quartile. On graph paper draw a box plot to represent these data‚ indicating clearly any outliers.
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Inappropriate? The analysis of data begins with descriptive statistics such as the mean‚ median‚ mode‚ range‚ standard deviation‚ variance‚ standard error of the mean‚ and confidence intervals. These statistics are used to summarize data and provide information about the sample from which the data were drawn and the accuracy with which the sample represents the population of interest. The mean‚ median‚ and mode are measurements of the “central tendency” of the data. The range‚ standard deviation
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Frequency Distribution (A) Introduction 1. Ungrouped data versus grouped data Ungrouped data (Raw data): It is a list of individual observed values of the random variable Grouped data (a frequency distribution): It is a table that displays the data in grouping along with the number of occurrences that fall into each group. 2. The components of a frequency distribution a. Class limits: They identify the inclusive values in a class of a frequency distribution The
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FREQUENCY DISTRIBUTION WHAT IT IS Frequency distributions summarize and compress data by grouping it into classes and recording how many data points fall into each class. That is‚ they show how many observations on a given variable have a particular attribute. For example‚ a survey is taken of 50 people’s favorite color. The frequency distribution might indicate 15 people selected green‚ 12 blue‚ 6 red‚ 7 yellow‚ and 10 purple. Converting these raw numbers into percentages would then provide an
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concept on frequency distribution using Google and the search words “frequency distribution” at http://www.mathsisfun.com/data/frequency-distribution.html This website is geared towards younger people and therefore breaks down frequency distribution into very basic terms: values and their frequency (how often each value occurs). The website uses the example of a child’s soccer team and how many goals they scored in recent games. For the assignment this week‚ I have chosen to use the raw data of shoe
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Statistics: • Science of gathering‚ analyzing‚ interpreting‚ and presenting data • Measurement taken on a sample • Type of distribution being used to analyze data Descriptive statistics: Using data gathered on a group to describe or reach conclusions about that same group only. Descriptive statistics are the tabular‚ graphical‚ and numerical methods used to summarize data. Collect‚ organize‚ summarize‚ display‚ analyze Eg: According to Consumer Reports‚ General Electric washing machine
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Star MP3. To summarize the consumer responses with a frequency table‚ how many classes would the frequency table have? 4. Two thousand frequent Midwestern business travelers are asked which Midwest city they prefer: Indianapolis‚ Saint Louis‚ Chicago‚ or Milwaukee. The results were 100 liked Indianapolis best‚ 450 liked Saint Louis‚ 1‚300 liked Chicago‚ and the remainder preferred Milwaukee . Develop a frequency table and a relative frequency table to summarize this information. 5. Wellstone
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6 The Normal Distribution Objectives Outline After completing this chapter‚ you should be able to 1 2 3 Identify distributions as symmetric or skewed. 4 Find probabilities for a normally distributed variable by transforming it into a standard normal variable. Introduction 6–1 Normal Distributions Identify the properties of a normal distribution. Find the area under the standard normal distribution‚ given various z values. 5 Find specific data values for
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Normal Distribution Normal distribution is a statistics‚ which have been widely applied of all mathematical concepts‚ among large number of statisticians. Abraham de Moivre‚ an 18th century statistician and consultant to gamblers‚ noticed that as the number of events (N) increased‚ the distribution approached‚ forming a very smooth curve. He insisted that a new discovery of a mathematical expression for this curve could lead to an easier way to find solutions to
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NORMAL DISTRIBUTION 1. Find the distribution: a. b. c. d. e. f. following probabilities‚ the random variable Z has standard normal P (0< Z < 1.43) P (0.11 < Z < 1.98) P (-0.39 < Z < 1.22) P (Z < 0.92) P (Z > -1.78) P (Z < -2.08) 2. Determine the areas under the standard normal curve between –z and +z: ♦ z = 0.5 ♦ z = 2.0 Find the two values of z in standard normal distribution so that: P(-z < Z < +z) = 0.84 3. At a university‚ the average height of 500 students of a course is 1.70 m; the standard
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