2. Consider the scores of 50 Grade 12 students in Physics exam. Construct a frequency distribution and compute the indicated positions using Table 1 and Table 2. The lowest value is the first lower class limit of Table 2. 15 15 49 29 16 13 50 36 36 47 18 17 49 40 34 Number of Classes k: 14 29 35 45 34 2* 2n 45 44 34 11 34 30 25 42 40 33 k = 10 27 26 24 33 Class interval or width i 29 22 40 20 28 Range C= (round up)
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- Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 2.2202.220 in., and use a class width of 0.010 in. The screws were labeled as having a length of 2 1 divided by 4 in.2 1/4 in. 2.226 2.257 2.262 2.266 2.236 2.243 2.242 2.228 2.258 2.253 2.257 2.248 2.243 2.236 2.259 2.259 2.268 2.257 2.247 2.267 2.246 2.266 2.255 2.251 2.268 2.233 2.254 2.264 2.257 2.241The following data give the numbers of orders received for a sample of 30 items at the Time-saver Mail Order Company.34 44 31 52 41 47 38 35 32 3928 24 46 41 49 53 57 33 27 3730 27 45 38 34 46 36 30 47 50Using 6 classes of equal width, construct a grouped frequency distribution of the above data. Let 22 be thelower limit of the initial class. 1.1 Calculate the mid-70% range. 1.1.2 Calculate the coefficient of variation and interpret the value obtained. Class interval Frequency (f) Midpoint (x) Cumulative Frequency (CF) fx fx² 22 < 28 28 < 34 34 < 40 40 < 46 46 < 52 52 < 58 ∑f ∑ =2.3 The National Safety Council reports the following age breakdown for licensed drivers in the United States. Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 682. Age (Years) Licensed Drivers (Millions) Under 20 10.72 20–under 25 16.84 25–under 35 40.78 35–under 45 45.59 45–under 55 36.70 55–under 65 23.32 65 or over 28.76 Identify the following for the 35–under 45 classes: (a) Frequency (b) upper and lower limits (c) width and (d) midpoint.
- The following data give the hourly wage rates (Rands) for a sample of 20 workers selected from a largecompany.12.50 9.45 13.85 7.25 8.70 14.60 11.75 14.50 10.80 12.457.50 15.90 9.75 11.50 13.30 6.25 15.50 12.80 5.35 9.50 (v) Determine the mean wage rate using the raw data. (iv) Group the data into a frequency distribution with a lowest class lower limit of R 5.00 and a classwidth of R 2.00.The following is the data set for specific research regarding a certain product 15 19 14 20 13 23 16 25 17 12 20 11 23 10 14 11 25 12 11 15 8 17 8 18 16 19 17 19 24 What is the range of the data set? How many class intervals should be constructed? How many elements does the class width has? What is the frequency of the class interval with the highest value? What is the >cf of the 3rd to the highest class interval?The following data represents the GPA of a sample of 15 students enrolled in a math class. Use technology and round to 4 decimal places. GPA 3.01 3.96 3.46 1.52 1.75 2.89 2.77 1.66 2.27 3.2 2.28 2.29 1.96 1.71 2.07 (g) Find the interquartile range. (h) What are the lower and upper limits to find outliers? LL: UL: (i) Find s2.
- Use this frequency distribution table to calculate the following: 1.Coefficient of variation 2.Geometric mean 3.Measure of skewness Interval (cm) frequency Cum more than frequency Cum less than frequency Class midpoint F.M Frequency percentage % 40≤49 3 3 30 44.5 133.5 10 50≤59 9 12 27 54.5 490.5 30 60≤69 10 22 18 64.5 645 33.3 70≤79 5 27 8 74.5 372.5 16.67 80≤89 2 29 3 84.5 169 6.67 90≤99 1 30 1 94.5 94.5 3.33 TOTALS 30 1905 100The amount of money spent on a week’s holiday by 40 students, correct to the nearest £10, is shown below 180 190 170 210 190 160 210 180 240 130 190 150 200 210 160 200 180 130 210 180 200 190 220 170 230 270 180 220 200 210 140 210 150 200 210 190 200 170 210 180 (a) Group the data into classes of width £20 starting with 120-139, 140-159 and so on. (b) What is the modal class? (c) Using the grouped frequency distribution you found in part (a), estimate the mean and standard deviation of the data.The following table displays a relative frequency distribution for the number of siblings for students in a school. For a randomly selected student in the school, let X denote the number of siblings of the student. Number of Siblings Relative Frequency 0 0.1140 1 0.1420 2 0.7010 3 0.0210 4 0.0120 5 0.0065 6 0.0025 7 0.0010 P (X < 3) = ____________ P (X = 4) = ____________
- The following data provide the monthly electricity bills of a sample of households in Cavite: 1084 1452 764 1348 1180 1276 1000 1212 928 650 708 796 1064 1116 820 1116 768 724 1284 1236 984 1112 355 300 1340 1280 752 1188 1896 960 1716 1176 2280 1368 1116 1234 890 2500 2459 2568 Determine the range, class size and class interval. Construct a frequency distribution table. Compute for mean, median and mode.Following are the measurement of 40 equipment:2.0 2.5 2.3 2.8 4.5 3.2 3.5 2.2 1.5 4.55.5 6.5 3.2 4.5 3.4 4.1 3.4 3.3 5.6 1.94.6 9.7 6.5 2.8 3.1 7.2 6.8 5.1 4.9 2.48.4 7.6 7.9 2.9 3.5 3.1 8.8 7.2 7.8 2.9Construct a frequency distribution using 5 class intervals of equal size. Also find class boundaries,class marks, and cumulative relative frequencies both “less than” and “more thanThe following measurements are recorded as propagation delay of a certain transmission tower located at Manila and a receiver located at Cebu. 15.378 17.625 18.013 18.419 19.020 19.041 30.001 Name any outliers from the data.