Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sorted data :
388, 389, 389, 390, 391, 393, 393, 393, 396, 398, 399, 400, 400, 400, 401, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, 406, 406, 407, 407, 408, 408, 408, 409, 409, 411, 412, 412, 413, 414, 416, 416, 416, 419, 420, 420, 424, 424, 1650
n = number of observations = 50
1) first quartile of the data (Q1) : 1/4(n+1)th term
1/4(51)th term= 12.75th term = 400
2)3rd quartile :
3/4(51)th term = 38.25th term = 412
3)median of data (Q2) :
1/2(51)th term = 25.5 th term = 405
4) mean of data
Σx / n = 21501 / 50 = 430.02
5)Outlier : Values that are greater than Q3 + 1.5 IQR or less than Q1 - 1.5 IQR
IQR = Q3 - Q1 = 412 - 400 = 12
> Q3 + 1.5 IQR
> 412 + 1.5(12) = > 430
< Q1 - 1.5 IQR = < 400 - 1.5(12) = 382
Outlier = 1650
Median after outlier is deleted :
1/2(50) th term = 25 th term = 405
Mean after outlier is deleted :
Σx / n = 19851 / 49 = 405.122
