A sample of 24 offshore oil workers took part in a simulated escape exercise, re
ID: 3201555 • Letter: A
Question
A sample of 24 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape: Calculate the values of the sample mean and median and sample standard deviation. Sample mean = Sample median = Sample standard deviation = by how much could the largest time, currently 424, be increased without affecting the value of the sample median? By how much could this value be decreased without affecting the value of the sample mean? First obtain the five summary. Compute the fence values and construct a box plot for the data.Explanation / Answer
a) Sample mean = sum of all sample / total number
= 8876 / 24
= 369.83
Sample median :'
The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest.
Sample median = 366 + 369 / 2
= 367.5
Sample standard deviation
The standard deviation is a numerical value used to indicate how widely individuals in a group vary. If individual observations vary greatly from the group mean, the standard deviation is big; and vice versa.
S = sqrt ( sum ( x - xbar)^2 / n-1))
S = 25.08