Construct a frequency distribution for the given data set using 6 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? Amount (in dollars) spent on books for a semester 42 338 302 543 211 322 180 403 485 355 295 500 2060 378 137 366 358 504 40 441 180 500 443 507 75 540 407 516 145 Complete the table, starting with the lowest class limit. Use the minimum data entry as the lower limit of the first class. (Type integers or decimals. Round the class limits to the nearest whole number. Round all other values to the nearest thousandth as needed.) Relative Frequency Cumulative Class Frequency Midpoint Frequency

Recall that a relative frequency histogram is used to graph quantitative data. Classes are chosen to divide the range of values into equal-length subintervals, then plotted along the horizontal axis. A bar is drawn for each class with height equal to the relative frequency for that class. To create a relative frequency histogram, first summarize the following data in a frequency table. 1 N 2 3 4 5 6 7 Class Class Boundaries 8 9 1.3 10 11 14.7 9.0 16.7 4.1 14.9 4.4 2.7 32.3 10.9 9.0 9.0 1.6 18.4 1.0 2.4 2.4 18.0 Since the measurements are all between the values 0 and 33, it will be convenient to choose 11 class intervals of length 3. Using the given data, tally the values within each class interval to determine the frequency of each class, and fill in the following table. 0 to <3 3.5 11.2 18.0 26.7 3.7 3 to 6 6 to 9 9 to 12 12 to < 15 15 to 18 18 to 21 21 to 24 24 to 27 0.2 6.1 13.5 27 to < 30 30 to 33 7.4 8.2 19.2 1 1 2 1 Frequency 10 5 1 4 1 X X 9.4 X 8.7 X 2.0 6.6 3.9 5.9 4.3 3.3 0.2…

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435 507 448 435 463 440 448 413 432 458 473 465 428 472 439 a. Summarize the data on femur lengths in a frequency table. Use class intervals that start at 400 and have width 20. b. Add a column to your table from part (a) for the relative frequencies. c. Draw a histogram that represents your frequency table. (Use either frequency or relative frequency for the vertical axis.)