Questions: 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: 389, 526, 123, 180, 269, 547, 451, 159, 524, 430, 412, 284, 485, 239, 190, 522, 495, 297, 50, 160, 387, 249, 521, 101, 144, 102, 293, 356, 133. 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.) Class Frequency Midpoint Relative Frequency Cumulative Frequency -----

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: 389, 526, 123, 180, 269, 547, 451, 159, 524, 430, 412, 284, 485, 239, 190, 522, 495, 297, 50, 160, 387, 249, 521, 101, 144, 102, 293, 356, 133. 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.) Class Frequency Midpoint Relative Frequency Cumulative Frequency -----
Transcript text: 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? \begin{tabular}{lllrlllllllllll} \multicolumn{10}{c}{ Amount (in dollars) spent on books for a semester } \\ 389 & 526 & 123 & 180 & 269 & 547 & 451 & 159 & 524 & 430 & 412 & 284 & 485 & 239 & 190 \\ 522 & 495 & 297 & 50 & 160 & 387 & 249 & 521 & 101 & 144 & 102 & 293 & 356 & 133 & \end{tabular} 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.) \begin{tabular}{ccccc} Class & Frequency & Midpoint & \begin{tabular}{c} Relative \\ Frequency \end{tabular} & \begin{tabular}{c} Cumulative \\ Frequency \end{tabular} \\ \hline$\square-\square$ & $\square$ & $\square$ & $\square$ & $\square$ \end{tabular}
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Solution

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Frequency Distribution Table

| Class Limits | Midpoint | Frequency | Relative Frequency | Cumulative Frequency | |+|+|-|+|+| | (50, 132) | 91 | 4 | 0.138 | 4 | | (133, 215) | 174 | 6 | 0.207 | 10 | | (216, 298) | 257 | 6 | 0.207 | 16 | | (299, 381) | 340 | 1 | 0.034 | 17 | | (382, 464) | 423 | 5 | 0.172 | 22 | | (465, 547) | 506 | 7 | 0.241 | 29 |

Step 1: Determine the Range of the Data

The range of the data is 497.

Step 2: Calculate the Class Width

The class width is 83.

Step 3: Set Class Limits

Class limits are set as follows: (50, 132) (133, 215) (216, 298) (299, 381) (382, 464) (465, 547)

Step 4: Calculate Midpoints

Midpoints for each class are calculated as follows: 91 174 257 340 423 506

Step 5: Tally Frequencies

Frequencies for each class are tallied as follows: 4 6 6

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