Question

Complete a frequency distribution for the following data that represents the recent sales prices (in $1,000s) of homes in Midwestern County. As this is quantitative data, calculate five classes, report the cumulative frequency, relative frequency, and cumulative relative frequency.

Sales price:

115 290 271 267 290
271 242 223 221 269
245 336 236 265 270
249 216 335 237 295


Frequency Cumulative Frequency Relative Frequency Cumulative Relative Frequency
100 upto 150

Answer 1

Given the quantitative data, the five classes would be:

Number of data given, n = 20

________________________

100 to 150:

Frequency = 1

Cumulative frequency = 1

Relative frequency
`= (1)/(20) = 0.05`

Cumulative relative frequency
`= (1)/(20) = 0.05`

__________________________

150 to 200:

Frequency = 0

Cumulative frequency = 0 + previous cumulative frequency = 0 + 1 = 1

Relative frequency = 0

Cumulative relative frequency
`= (1)/(20) = 0.05`

__________________________

200 to 250:

Frequency = 8

Cumulative frequency = 9 + previous cumulative frequency = 8 + 1 = 9

Relative frequency
`= (8)/(20) = 0.4`

Cumulative relative frequency
`= (9)/(20) = 0.45`

__________________________

250 to 300:

Frequency = 9

Cumulative frequency = 9 + previous cumulative frequency = 9 + 9 = 18

Relative frequency
`= (9)/(20) = 0.45`

Cumulative relative frequency
`= (18)/(20) = 0.9`

__________________________

300 to 350:

Frequency = 2

Cumulative frequency = 2 + previous Cumulative frequency = 2 + 18 = 20

Relative frequency
`= (2)/(20) = 0.1`

Cumulative relative frequency
`= (20)/(20) = 1`

__________________________