Two numbers have difference of 6 and a mean of 11. Find the numbers.
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Answer:
The 25th percentile is 248.
The 70th percentile is 700.
Step-by-step explanation:
The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.
Arrange the data set in ascending order as follows:
S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}
The formula to compute the position of the pth percentile is:
Compute the 25th percentile as follows:
The 4th observation from the arranged data set is 248 .
Thus, the 25th percentile is 248.
Compute the 70th percentile as follows:
The 11th observation from the arranged data set is 700.
Thus, the 70th percentile is 700.