Problem Set 3.1 A- Median Criterion: Calculate the median for a set of scores. I

Question

Problem Set 3.1 A- Median Criterion: Calculate the median for a set of scores. Instruction: Calculate the median of the provided data. Data: Fifty employees were surveyed on their overall job satisfaction on a scale of 1 (not at all satisfied) to 10 (extremely satisfied). The results are tabulated in the table below. What is the median of this data set? Job Satisfaction Job Satisfaction Score Frequency 10 13 10 B- Mode, Median, Mean, and Skew Criterion: Calculate the mode, median, and mean for a set of scores Data set: 4, 2, 2, 2, 1, 1,4, 5, 1, 3, 3, 3,1, 2,2, 2,1,4, 4, 3,3,2,1, 2, 1 Instructions: For the given data set, answer the following: a. What is the mode? b. What is the median? c. What is the mean? d. Are these scores normally distributed, positively skewed, or negatively skewed? Do you expect the mean to be higher or lower than the median? e.

Explanation / Answer

Here Total Sum Of Frequency is N=50

Median = N/2 = 50/2 = 25

Now we should see the value just greater than 25 in C.F column i.e 33

The value corresponding to 33 in column of job is 7

Therefore median of the above data set is 7.

B) Data Set = 4,2,2,2,1,1,4,5,1,3,3,3,1,2,2,2,1,4,4,3,3,2,1,2,1

1) Mode = Most frequently occurring value i.e 2

Therefore Mode of the given Data is 2.

2) Medain = Mddle Most value. Arrange values first in ascending order. Here n=25 which is odd. Therefore middle most value is 13th value which is 2.

Therefore medain is 2.

3) Mean = Sum of the Data/25 = 59/25 = 2.36

Therefore Mean is 2.36.

5) Mean is greater than median by 0.36

Job Frequency C.F 10 2 2 9 8 10 8 13 23 7 10 33 6 7 40 5 4 44 4 2 46 3 2 48 2 1 49 1 1 50

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