Problem 2. Marks obtained by 50 boys of a class are as unde. : 34 54 10 21 22 39 26 34 19 51 52 12 43 48 36 48 10 17 47 38 13 30 30 60 59 15 7 18 40 49 40 51 55 32 41 22 14 18 19 40 43 30 35 4 53 25 17 45 25 43 Construct a frequency table with a class interval 0-9. 10–19, 20-29 and so on.
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- Figure 219 shows a compound gear train. Gears B and C are keyed to the same shaft; therefore, they turn at the same speed. Gear A and gear C are driving gears. Gear B and gear D are driven gears. Set up a proportion for each problem and determine the unknown values, x, y, and z in the table. Round the answers to 1 decimal place where necessary.A set of scores ranges from a high of X = 45 to a low of X = 11. If these scores were placed in an appropriately designed grouped frequency distribution table, which of the following would be the bottom interval in the table?1. Create the frequency table of the data.
- The following are goals scored by a soccer team at each game in their recent season. Complete the frequency table. 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 5 A) Goals Frequency 0 7 1 11 2 3 3 4 4 1 5 0 6 2 B) Goals Frequency 0 7 1 11 2 3 3 0 4 3 5 2 6 2 C) Goals Frequency 0 5 1 12 2 4 3 4 4 2 5 2 6 0 D) Goals Frequency 0 7 1 12 2 4 3 2 4 0 5 4 6 0 E) Goals Frequency 0 5 1 12 2 4 3 0 4 3 5 2 6 2 F) Goals Frequency 0 5 1 11 2 4 3 4 4 2 5 1 6 0Problem – 2:The data shown (in millions of dollars) are the values of the 30 National Football Leaguefranchises.170 191 171 235 173 187 181 191200 218 243 200 182 320 184 239186 199 186 210 209 240 204 193211 186 197 204 188 242a) Construct a frequency distribution for the data using 8 classes.b) Construct a histogram, a frequency polygon, and an ogive for the data.Question 13 Consider an operational process in a factory where widgets are produced. As the process is not perfect, errors sometimes happen, and the errors are either technical or human. Over the last 100 days, errors were observed and recorded. On any given day, there occurred zero to three (0 to 3) human errors and zero to three (0 to 3) technical errors. The frequency distribution of errors is given in the following contingency table. Number of human errors No. of Tech Errors 0 1 2 3 Total 0 8 6 4 4 22 1 5 8 9 10 32 2 4 5 10 8 27 3 0 3 4 12 19 Total 17 22 27 34 100 What is the probability of 3 technical errors on any given day? State your answer as a decimal value rounded to two digits after the decimal point.
- Question 15 Consider an operational process in a factory where widgets are produced. As the process is not perfect, errors sometimes happen, and the errors are either technical or human. Over the last 100 days, errors were observed and recorded. On any given day, there occurred zero to three (0 to 3) human errors and zero to three (0 to 3) technical errors. The frequency distribution of errors is given in the following contingency table. Number of human errors No. of Tech Errors 0 1 2 3 Total 0 8 6 4 4 22 1 5 8 9 10 32 2 4 5 10 8 27 3 0 3 4 12 19 Total 17 22 27 34 100 What is the probability of 3 human errors on any given day? State your answer as a decimal value rounded to two digits after the decimal point.The data below are the passing scores on an Algebra exam in one class. For this question, round all answers to the nearest tenth, as needed. 60 68 88 76 60 92 92 92 88 60 68 92 8892 64 60 76 64 92 88 76 60 60 64 60 8876 64 Construct the frequency table by using five classes. Class Limit Frequency Class midpoint Cumulative Frequency Class BoundaryIn the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained:- Source A Source A Source B Source B Life (hours) No of components Life(hours) No of Components 1000-1020 1020-1040 1040-1060 1060-1080 1080-1100 1100-1120 40 96 364 372 85 43 1030-1040 1040-1050 1050-1060 1060-1070 1070-1080 1080-1090 339 136 25 20 130 350 i. Find Median and two quartiles for each group. ii. Find mean and Standard deviation for each source and compare them. iii. Which source do you think providing better quality of components and why?
- In the manufacturing of a certain scientific instrument great importance is attached to the life of a particular critical component. This component is obtained in bulk from two sources, A and B, and in the course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained: - [3] Source A Source B Life (hours) No of components Life(hours) No of Components 1000-1020 1020-1040 1040-1060 1060-1080 1080-1100 1100-1120 40 x 364 372 85 43 1030-1040 1040-1050 1050-1060 1060-1070 1070-1080 1080-1090 339 136 25 20 130 350 Find missing value of x and Standard deviation, when = 1059.90 for each source and compare them.In the manufacture of a certain scientific instrument great importance is attached to the life of a critical component. This component is obtained in bulk from two sources, A and B, and in a course of inspection, the lives of 1000 of the components from each source are determined. The following frequency tables are obtained:Source A Source BLife (hours) No. of components Life (hours) No. of components1000 – 1020 40 1030 – 1040 3391020 – 1040 96 1040 – 1050 1361040 – 1060 364 1050 – 1060 251060 – 1080 372 1060 – 1070 201080 – 1100 85 1070 – 1080 1301100 – 1120 43 1080 – 1090 350Examine the effectiveness of the measures of dispersion with which you are familiar for comparing the dispersion of the two distributionsquestion 18 In California, we need more rain to sustain the health of our natural environment, argriculture, and economic. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were: Inches of Rain 1 2 3 4 5 6 Frequency 0 6 2 5 5 7 The mean (¯xx¯) rain intensity: inches (Please show your answer to 1 decimal place.)The median rain intensity: inchesThe mode rain intensity: inches (Please separate your answers by ',' in the bimodal situation. Enter DNE if there is no mode or if there are more than two modes.)
