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Asked Dec 28, 2019
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Constructing Frequency Distributions. In Exercises 11–18, use the indicated data to construct the frequency distribution. (The data for Exercises 13–16 can be downloaded at TriolaStats.com.)

Old Faithful Listed below are sorted duration times (seconds) of eruptions of the Old Faithful geyser in Yellowstone National Park. Use these times to construct a frequency distribution. Use a class width of 25 seconds and begin with a lower class limit of 125 seconds.

125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240
240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248
248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264
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125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240 240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248 248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264

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Expert Answer

Step 1

The duration time (seconds) of eruptions of the Old Faithful geyser in Yellowstone National Park. The class width is 25 seconds and the lower class limit is 125 seconds.

Steps to obtain the frequency distribution of the duration time:

Step 1: The lowest value in the data set is the minimum duration time, which is 125 seconds. The highest value in the data set is the maximum duration time, whichis 264 seconds.

Step 2: Calculate the number of classes using the formula,

Substitute “Class width” as 25, “Maximum data value” as 264 and “Minimum data value” as 125.

Statistics homework question answer, step 1, image 1
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Step 2

Step 3: Add the class width of 25 to the starting value of 125 to obtain the second lower class limit of 150. Continue to add the class width of 25 until six lowerclass limits are found. Thus, the lower class limits are 125, 150, 175, 200, 225 and 250.

Step 4: List the lower class limits vertically, to identify the corresponding upper class limits as shown in below table.

Statistics homework question answer, step 2, image 1
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Step 3

Step 5: Enter a tally mark for each data value (duration times) in the appropriate class. Then, ...

Statistics homework question answer, step 3, image 1
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