Answer all of these questions
1. Find the class boundaries, midpoints, and width for each class interval given. 11 - 15 b. 17 - 39 c. 293 - 353 d. 11.8 - 14.7 e. 3.13 - 3.93 16 - 20 40 -57 354 - 414 14.8 - 17.7 394- 4.74 2. The ages of the signers of the Declaration of Independence of USA are shown below. Construct a Frequency distribution for the data using seven classes. (Source: John W. Wright, ed, The Universal Almanac, Andrews and McMeel, 1994, p.53) 139 14 60 44 35 43 3. In a study of 40 women, the following data of blood potassium levels, in milliequivalents per liter, were obtained. Construct a frequency distribution. 3.2 5.8 6.0 4.5 4.2 4.3 2.7 5.1 4.9 5.3 4.7 5.0 3.9 4.9 4.0 5.2 3.8 4.6 43 44 3.8 5.6 42 3.6 5.1 42 5.8 3.7 3.7 43 45 34 3.6 4.4 3.9 4.2 4.1 43 4.9 4. For 108 randomly selected college students, the following 1Q frequency distribution was obtained. Construct histogram, frequency polygon, and ogive for the data. Class lim 90 - 98 99 - 107 08 - 116 117 - 125 126 - 134 5. The weights (to the nearest tenth of a kilogram) of 35 students were measured and recorded as follows: 59.2 60.4 58.4 61.4 60.0 61.4 61.2 61.7 61.1 59.0 61.9 61.9 59.8 61.2 60.7 36.3 59.3 60.3 60.2 a. Construct a frequency distribution table b. Construct a frequency ogive. 5. Thirty AA size batteries were tested to determine how long they lasted. The results, to the nearest hundredth, were recorded as follows (unit of measurement is 0.01): 3.71 4.31 4.0 3.96 3.87 3.69 3.77 4.01 3.63 3.99 4.10 411 4.09 3.91 3.92 4.05 4.15 4.19 3.86 3.94 4.08 3.82 4.22 a. Construct a frequency distribution table b. Construct its frequency bar chart and frequency histogram. 7. If the class marks of a frequency distribution odles are 5.0. 6.5, 8.0, 9.5 and 1 1.0 kilograms, find a. the class width b. the class boundaries c. the class limits 8. Thirty automobiles were tested for fuel efficiency, in miles per gallon (mpg). The following frequency distribution was obtained. Construct a histogram, frequency polygon, and bar chart for the data. Class boundaries Frequency 5 - 125 12.5 - 17.5 17.5 - 22.5 IS 22.5 -27.5 27.5 -32.5 9. In an insurance company study of the causes of 1000 deaths, the following data were obtained. Construct a pie graph to represent the data Cause of death amber of deaths Heart disease Cancer 227 Stroke 93 Accidents Other 10. Given the frequency ogive: 20 69.5 74 5 79.5 84.5 89.5 94.5 99 5 104.5 109.5 134 5 119.5 124 5 129.5 Reconstruct a frequency distribution table What is the class width? What is the total frequency d. Based on the ogive. how many observations were below 99.57 how many were above 99.5? what is the total number of observations? 1 1. Fill-in the missing values in the table. Class Interval Class Class Mark Frequency Relative Cum. Freq Boundaries Frequency 3.5 . 4.5
