Basic Engineering Mathematics, Fifth Edition

Chapter 31 Presentation of statistical data 31.1 Some statistical terminology 31.1.1 Discrete and continuous data Data are obtai ...

Presentation of statistical data 289 (c) The value of stamps sold in a day by each of 20 post offices. (d) The number of defecti ...

290 Basic Engineering Mathematics Problem 3. The distance in miles travelled by four salesmen in a week are as shown below. Sale ...

Presentation of statistical data 291 subdivided into the values in the table of percentages shown above. A key is used (differen ...

292 Basic Engineering Mathematics Now try the following Practice Exercise PracticeExercise 123 Presentation of ungrouped data (a ...

Presentation of statistical data 293 classesto form afrequency distribution. To assist in accurately counting members in the var ...

294 Basic Engineering Mathematics Table 31.1(a) Class Tally 70–72 1 73–75 11 76–78 1111 11 79–81 1111 1111 11 82–84 1111 1111 85 ...

Presentation of statistical data 295 Table 31.3 1 2 3 4 5 6 Class Frequency Upper class Lower class Class range Height of bounda ...

296 Basic Engineering Mathematics To assist with accurately determining the number in each class, atally diagramis produced as s ...

Presentation of statistical data 297 Acumulative frequency distributionis a table giving values of cumulative frequency for the ...

298 Basic Engineering Mathematics 28 22 23 20 12 24 37 28 21 25 21 14 30 23 27 13 23 7 26 19 24 22 26 3 21 24 28 40 27 24 20 25 ...

Chapter 32 Mean, median, mode and standard deviation 32.1 Measures of central tendency A single value, whichis representative of ...

300 Basic Engineering Mathematics The mean value is obtained by adding together the values of the members of the set and dividin ...

Mean, median, mode and standard deviation 301 frequency values are represented vertically and variable valueshorizontally.Themea ...

302 Basic Engineering Mathematics The gain of 90 similar transistors is measured and the results are as shown. By drawing a his ...

Mean, median, mode and standard deviation 303 32.4.2 Grouped data For grouped data, standard deviation,σ= √√ √ √ {∑ {f(x−x)^2 } ...

304 Basic Engineering Mathematics intofourequalparts.Thus,fortheset{2,3,4,5,5,7, 9, 11, 13, 14, 17} there are 11 members and the ...

Mean, median, mode and standard deviation 305 Now try the following Practice Exercise PracticeExercise 128 Quartiles, deciles an ...

Chapter 33 Probability 33.1 Introduction to probability 33.1.1 Probability Theprobabilityof something happening is the likeli- h ...

Probability 307 Problem 2. Find the expectation of obtaining a 4 upwards with 3 throws of a fair dice Expectation is the average ...