Question

finish times (to the nearest hour) for 59 dogsled teams are shown below. draw a histogram. use five classes.
list of finish times data
the frequency table for the above data is given below.

class limits	boundaries	midpoint	freq.	relative freq.	cumulative freq.
261 – 285	260.5 – 285.5	273	9	0.15	13
286 – 310	285.5 – 310.5	298	26	0.44	39
311 – 335	310.5 – 335.5	323	17	0.29	56
336 – 360	335.5 – 360.5	348	3	0.05	59

Explanation:

Step1: Identify Class Intervals

The class limits are 236 - 260, 261 - 285, 286 - 310, 311 - 335, 336 - 360. These define the intervals for the histogram.

Step2: Determine Frequency for Each Class

From the frequency table, the frequencies are 4, 9, 26, 17, 3 for the respective classes.

Step3: Set Up Histogram Axes

• X - axis: Label with class intervals (236 - 260, 261 - 285, 286 - 310, 311 - 335, 336 - 360).
• Y - axis: Label with "Frequency" and use a scale that can accommodate the maximum frequency (26).

Step4: Draw Bars for Each Class

• For 236 - 260: Draw a bar with height 4.
• For 261 - 285: Draw a bar with height 9.
• For 286 - 310: Draw a bar with height 26 (tallest bar).
• For 311 - 335: Draw a bar with height 17.
• For 336 - 360: Draw a bar with height 3 (shortest bar).
• Ensure each bar has equal width (since class widths are equal, assuming 25 units per class: 260 - 236 + 1 = 25, 285 - 261 + 1 = 25, etc.).

Answer:

The histogram is drawn with class intervals on the x - axis, frequency on the y - axis, and bars with heights corresponding to the frequencies (4, 9, 26, 17, 3) for the classes 236 - 260, 261 - 285, 286 - 310, 311 - 335, 336 - 360 respectively.