The value of interquartile range IQR is Answer 1 The value o

The value of interquartile range (IQR) is __(Answer 1)__.

The value of 30th percentile is __(Answer 2)__.

The value of 95th percentile is __(Answer 3)__.

Suppose the Simpsons have 438 episodes (as of November 2008). This episode count lie in the __(Answer 4)_ percentile.

Solution

The sorted values are :

174 193 194 196 197 199 200 201 202 203 203 236 251 265 284 296 336 344 361 369 381 430 435 588 633.

Answer 1: Interquartile range is 3/4th value -1/4th value = 369 - 199 = 170.

Answer 2: (7th + 8th)/2 = (200 + 201)/2 = 200.5

Answer 3: 23rd *.25 + 24th*.75 = 435/4+588*3/4 = 549.75.

Answer 4: Thst lies in 23rd and 24th value thats 92 to 96 percentile and using interpolation we can state it to be 92 + 3/(588-435) = 92+3/153 = 92.019