Question

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 118 228 309 289 413 518 331 46 389 72 89 133 357 415 3850 42 476 170 40 103 121 75 315 334 402 138 324 289 331 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 Class Frequency Midpoint Frequency Cumulative Frequency Which class has the greatest frequency? The class with the greatest frequency is from to

Answer 1

Solution :

Given that 118,228,309,289,413,518,331,46,389,72,89,133,357,415,385,42,476,170,40,103,121,75,315,334,402,138,324,289,331

class Frequency midpoint Relative cumulative
Frequency Frequency

40 - 129 9 84.5 9/29 = 0.310 9

130 - 219 3 174.5 3/29 = 0.103 9 + 3 = 12

220 - 309 4 264.5 4/29 = 0.138 12 + 4 = 16

310 - 399 8 354.5 8/29 = 0.276 16 + 8 = 24

400 - 489 4 444.5 4/29 = 0.138 24 + 4 = 28

490 - 579 1 534.5 1/29 = 0.034 28 + 1 = 29

  
=> Total frequency = 29

=> Relative frequency = frequency/Total frequency

=> A cumulative frequency distribution is the sum of the class and all classes below it in a frequency distribution

==> The class with the greatest frequency is from 40 to 129

==> The class with the least frequency is from 490 to 579