Provide an appropriate response.
-The following data are the yields, in bushels, of hay from a farmer s last 10 years: 375, 210, 150, 147, 429, 189, 320, 580, 407, 180. Find the IQR.
A) 227
B) 265
C) 253
D) 279

Question

Provide an appropriate response.
-The following data are the yields, in bushels, of hay from a farmer s last 10 years: 375, 210, 150, 147, 429, 189, 320, 580, 407, 180. Find the IQR. 
A) 227
B) 265
C) 253
D) 279

Quizplus · Accepted Answer

The Interquartile Range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). First, we need to order the data from smallest to largest: 147, 150, 180, 189, 210, 320, 375, 407, 429, 580. For 10 data points, Q1 is the average of the 2.5th and 3.5th data points (which is the average of the 2nd and 3rd data points), and Q3 is the average of the 7.5th and 8.5th data points (which is the average of the 7th and 8th data points). Q1 = (150 + 180) / 2 = 165, Q3 = (375 + 407) / 2 = 391. IQR = Q3 - Q1 = 391 - 165 = 226. Since the options are rounded, the closest value is 227.

Provide an Appropriate Response