Answer:
hello your question is incomplete below is the complete question
A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: 12 16 18 19,21 21, 21,22 24 24 26What is the arithmetic mean, median and mode? what is the most likely shape of the distribution
answer :
i) mean = 20.36
ii) median = 21
iii) mode = 21
iv) The most likely shape is a Bell - shaped curve
Explanation:
sample size = 11
values ( observations ) = 12, 16, 18, 19,21,21,21,22,24,24,26
i) mean
= ∑ values / sample size = 224 / 11 = 20.36
ii) median
median is the value of the data located at the center of the string of data
to determine the middle position = ( n+1 / 2 )
where n = sample size
hence position of median value = 11 + 1 / 2 = 12 / 2 = 6
the value at the 6th position = 21 ( median )
iii) mode
mode = most repeated value in the series of data
hence mode value = 21