Introduction

Chapter objectives.

By the end of this chapter, the student should be able to do the following:

  • Display data graphically and interpret the following graphs: stem-and-leaf plots, line graphs, bar graphs, frequency polygons, time series graphs, histograms, box plots, and dot plots
  • Recognize, describe, and calculate the measures of location of data with quartiles and percentiles
  • Recognize, describe, and calculate the measures of the center of data with mean, median, and mode
  • Recognize, describe, and calculate the measures of the spread of data with variance, standard deviation, and range

Once you have a data collection, what will you do with it? Data can be described and presented in many different formats. For example, suppose you are interested in buying a house in a particular area. You may have no clue about the house prices, so you might ask your real estate agent to give you a sample data set of prices. Looking at all the prices in the sample often is overwhelming. A better way might be to look at the median price and the variation of prices. The median and variation are just two ways that you will learn to describe data. Your agent might also provide you with a graph of the data.

In this chapter, you will study numerical and graphical ways to describe and display your data. This area of statistics is called descriptive statistics. You will learn how to calculate and, even more important, how to interpret these measurements and graphs.

A statistical graph is a tool that helps you learn about the shape or distribution of a sample or a population. A graph can be a more effective way of presenting data than a mass of numbers because we can see where data values cluster and where there are only a few data values. Newspapers and the internet use graphs to show trends and to enable readers to compare facts and figures quickly. Statisticians often graph data first to get a picture of the data. Then more formal tools may be applied.

Some of the types of graphs that are used to summarize and organize data are the dot plot, the bar graph, the histogram, the stem-and-leaf plot, the frequency polygon—a type of broken line graph—the pie chart, and the box plot. In this chapter, we will briefly look at stem-and-leaf plots, line graphs, and bar graphs as well as frequency polygons, time series graphs, and dot plots. Our emphasis will be on histograms and box plots.

This book contains instructions for constructing a histogram and a box plot for the TI-83+ and TI-84 calculators. The Texas Instruments (TI) website provides additional instructions for using these calculators.

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  • Authors: Barbara Illowsky, Susan Dean
  • Publisher/website: OpenStax
  • Book title: Statistics
  • Publication date: Mar 27, 2020
  • Location: Houston, Texas
  • Book URL: https://openstax.org/books/statistics/pages/1-introduction
  • Section URL: https://openstax.org/books/statistics/pages/2-introduction

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Statistics and probability

Unit 1: analyzing categorical data, unit 2: displaying and comparing quantitative data, unit 3: summarizing quantitative data, unit 4: modeling data distributions, unit 5: exploring bivariate numerical data, unit 6: study design, unit 7: probability, unit 8: counting, permutations, and combinations, unit 9: random variables, unit 10: sampling distributions, unit 11: confidence intervals, unit 12: significance tests (hypothesis testing), unit 13: two-sample inference for the difference between groups, unit 14: inference for categorical data (chi-square tests), unit 15: advanced regression (inference and transforming), unit 16: analysis of variance (anova).

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Statistics Assignment 2 - Desklib

The assignment consists of short answer questions related to statistical concepts and scenario-based questions on the effect of eating oatmeal on bad cholesterol levels.

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PROBABILITY & STATISTICS Assignment 2

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A coin is tossed 10 times. (a)Find the probability distribution of the number of heads. (b)Find mean, standard deviation, and variance. (c) Also verify your results using formulae. (d) Calculate the probability distribution using Matlab's build in functions and also draw the bar graph of the probability distribution using Matlab. [15 + 10 + 10 + 15 = 50 points] Q-2: Suppose during an international cycling competition 200 athletes are registered to participate. One requirement is that all athletes should be cleared from taking any illegal aid through medication for an unfair advantage. All the 200 athletes have obtained a certificate declaring so but 12 of which have once or more than once tested positive in a doping test in the past. To further ensure no wrongdoing is taking place a simple random sample of the athletes undertake a fresh doping test after the opening ceremony. Let the random variable X represents the number of athletes in the sample of size that have tested positive to doping. (a) What is the probability that 3 of the athletes have blood samples that tested positive? (b) What is the probability that at least one of the athletes has tested positive? (c) Find the probability distribution of the athletes have tested positive in the past. (d) Find mean, standard deviation, and variance. (e) Also verify your results using formulae. (f) Calculate the probability distribution using Matlab's build in functions and also draw the bar graph of the probability distribution using Matlab. [5 + 5 + 10 + 10 + 10 + 10 = 50 points]

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ExcelR Data Science Assignment No 2

shanuhalli/Assignment-Basic-Statistics-Level-2

Folders and files, repository files navigation, assignment02-basic-statistics-level-2.

This assignment will be cover following topics :

  • Descriptive Statistics and Probability
  • Normal Distribution and Functions of Random Variables
  • Confidence Intervals
  • Sampling Distributions and Central Limit Theorem
  • Jupyter Notebook 100.0%
  • Study Guides
  • Homework Questions

Assignment 2-Part 2- ROC and extension

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