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Descriptive Statistics Exercises

# Descriptive Statistics Exercises - Management 61 Exercises...

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Management 61 Exercises: Descriptive Statistics 1. Use the following data to construct a frequency distribution table with the following columns Class limits class boundaries Tally Frequency Class marks relative frequency f(x) 5.0 4.5 19.5 1.0 6.5 0.5 4.0 1.0 2.5 9.0 5.5 5.0 3.5 4.5 1.5 8.0 21.0 7.0 13.5 3.5 2. The owner of a fastfood restaurant wants to know how fast his crew members make hamburgers. He then took a sample of 20 preparations. The results in seconds were as follows: 45.6 33.6 65.7 72.4 55.3 43.6 87.2 57.1 65.7 42.1 65.7 47.1 88.6 56.3 33.6 52.5 69.1 45.6 43.6 46.5 Group the data into 5 equal classes and find out the range, class marks, class frequency, cumulative frequency, relative frequency, and class interval. Finally, construct a frequency histogram. 3. The Data below is a sample of earnings per share of 20 Top 1000 Corporations in the Philippines: 7.1 4.6 3.2 5.4 4.5 3.6 5.4 2.7 2.9 3.4 2.2 2.3 5.7 2.3 4.0 5.5 3.8 2.6 8.7 4.1 Use the data above to construct a frequency distribution table. Include columns for the following: Class limits class boundaries class marks Using both grouped and ungrouped data, solve for the following data: mean median mode 3 rd quartile 9 th decile 4. A purchaser of light bulbs obtained samples from two suppliers. He tests the samples in the laboratory for the length of life in hours and gets the following results: Length of Life (hours) Supplier A Supplier B 700-899 12 4 900-1099 14 34 1100-1299 24 19 1300-1499 10 3 Totals 60 60 a. Which suppliers’ bulbs have a greater mean life for their useful lives? b. Which suppliers’ bulbs are more uniform in quality? 5. The following data give the distribution of fertility by race in the Philippines: frequencies cumulative frequencies relative frequencies cumulative proportions / relative frequencies standard deviation variance coefficient of variation coefficient of skewness middle 70% range

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Region Pure Filipino Mixed Philippines 632 654 Ilocos 654 651 Southern Tagalog 591 468 Bicol 593 439 Central Visayas 654 450 Western Visayas 752 771 ARMM 795 710 Northern Mindanao 676 642 Southern Mindanao 682 422 NCR 441 370 Explain how it is possible for Filipinos of mixed heritage to have a greater fertility rate than pure Filipinos (654 vs. 632) in the nation where they have a lower one in 8 of the nine regions. 6. The Ateneo Placement Office compiled data regarding the number of job interviews graduates have to undergo before they eventually get a good offer. The Following is a frequency distribution of the number of interviews of forty of the graduates of 1997. Fill in the missing boxes: No. of interviews Frequency Relative Frequency Cumulative Proportion 0-10 0.05 11-20 0 21-30 2 31-40 41-50 0.15 51-60 0.20 61-70 5 71-80 0.00 81-90 5 Total 1.00 7. Given the data, solve for the following: Mean Median Mode 1 st Quartile 7 th Decile Class Limits Frequency 0-4,999 21 5,000-9,999 35 10,000-14,999 47 15,000-19,999 32 20,000-24,999 17 8. The composition of a student’s final grade in Mgt 61 is as follows: Exams: 40% Midterms: 20% Exercises, HW: 15% Finals: 20% Participation: 5% JN got B+, A, C+, and B and B+. MM, on the other hand, got A, A- (3.75), C, B+, and A. Finally, RG got C+, B, B+, A and F. Who among the three got the highest grade?
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Descriptive Statistics Exercises - Management 61 Exercises...

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