2. The femur (thighbone) is the longest bone in the human body. Femur lengths (in millimeters) of 15 people are given below. 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.)

A biologist exposed a certain type of bacteria to gamma radiation to see how long they would live. He gathered data on the survival time of a number of bacterial cells and organized the data into the histogram below. Use the histogram to construct a frequency table. (The relative frequencies should be in decimal form.) 60+ 50 40 30 10 440 282 Survival Time (in Seconds) 45 124 203 361 519 Survival Time of Bacteria upon Exposure to Gamma Radiation Frequency Survival Time (in Seconds) Relative Frequency 45-124 124-203 203-282 282-361 361-440 440-519 Frequency 20

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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…