Question
2. (20pts) Consider a sample with data values of 59, 71, 76, 78, 78, 82, 84,...
2. (20pts) Consider a sample with data values of 59, 71, 76, 78, 78, 82, 84, 86, 87, 89. Compute the: SHOW ALL WORK
(a) mean
(b) median
(c) mode
(d) standard deviation
(e) z-score for 76
Homework Answers
Answer #1
Solution: (a) mean
Answer:
(b) Median
Answer: To find the median, we need to sort the data in ascending order and in our case, we are given sorted data.
Since we have number of observations = 10 (that is even number), therefore the median is given below:
(c) Mode
Answer: Mode is the most frequenctly occuring observation in the given set of observations.
Therefore, mode is given below:
(d) standard deviation
Answer: The formula of standard deviation is given below:
rounded to two decimals
(e) z-score for 76
Answer:
Box plot:
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