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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