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Statistical Analysis and Probability: Data Visualization, Descriptive Statistics, and Probability Calculations

This document provides solutions on statistical analysis, probability calculations, and data visualization.

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    Statistical Analysis and Probability: Data Visualization, Descriptive Statistics, and Probability Calculations 1. A survey of the number of calls received by a sample of Southern Phone Company subscribers last week revealed the following information. 52, 43, 30, 38, 30, 42, 12, 46, 39, 37, 34, 46, 32, 18, 41, 5 a) Develop a stem - and - leaf chart. Note: A typical row for the Stem & Leaf plot might look like 3  0269. Where, the vertical line is obtained by using “Shift & | \ ” key. The line is inserted at the location of the cursor. b) What basic conclusions can be drawn from this chart? c) Compute the 5 number System for this data set and list Xmin, Q1, Q2, Q3 & Xmax. See Videos “ 5_Number_Sysytem ” in Videos – Top ics In Stat 230 . a) The required stem - and - leaf chart is given below; Stem Leaf 0 | 5 1 | 28 2 | 3 | 0024789 4 | 12366 5 | 2 b) From this chart we can say that the group 30 - 39 contains most of the values so mean, median is expected to fall in that group. The data shows a little left skewness. It is bimodal. Minimum value is 5 and maximum is 52. c) Xmin(1 st value in above chart) = 5, Q1(4 th value) = 30, Q2 = middle most value = value between 37 and 38 = 37.5; Q3(12 th value) = 42 and Xmax=last value = 52. 2 . The chart below gives the percentage of counties in the US that use various methods for recording votes in 1980 & 2002. Set up side - by - side bar charts by year using the instruction for Side - By - Side Charts in the Class Notes Conference. Copy/Paste your Chart into the TFE Editor from EXCEL. METHOD 1980 2002 Punch cards 18.5 15.5 Lever machines 36.7 10.6 Paper ballots 40.7 10.5 Optical scan 0.8 43.0 Electronic 0.2 16.3 Mixed 3.1 4.1 The required chart is given below.

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