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MONTHLY STARTING SALARY (In TRL) GraduateMonthly Starting Salary 12,850 22,950 33,050 42,880 52,755 62,710 72,890 83,130 92,940 103,325 112,920 122,880.

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Presentation on theme: "MONTHLY STARTING SALARY (In TRL) GraduateMonthly Starting Salary 12,850 22,950 33,050 42,880 52,755 62,710 72,890 83,130 92,940 103,325 112,920 122,880."— Presentation transcript:

1 MONTHLY STARTING SALARY (In TRL) GraduateMonthly Starting Salary 12,850 22,950 33,050 42,880 52,755 62,710 72,890 83,130 92,940 103,325 112,920 122,880 TOTAL: 35,280

2 A customer in a supermarket selected 6 cartons of eggs (each containing a dozen) from a large display. The egg-filled cartons weighed 25.9, 27.8, 25.8, 26.1, 23.5, and 45.4 ounces respectively. a-) Find the mean weight of these cartons. b-) Find the median weight of these cartons. c-) Is the mean a good average in this exercise?

3 Properties of the Mean 1- The Mean can be calculated for any set of NUMERICAL Data 2- The Mean is unique and unambiguous value. 3- The means of several sets of data can always be combined into the overall mean of all the data. 4- If each value in a sample were replaced by the mean, then ∑X would remain unchanged 5- The mean takes into account the value of each item in a set of data. 6- The mean is relatively reliable in the sense that means of many samples drawn from the same population generally do not fluctuate, or vary, as widely as other statistics used to estimate the mean of a population.

4 Properties of the Median In addition to the properties of the Mean; 1- It splits the data into two parts 2- The median is preferable to the mean because it is not so easily affected by extreme values.

5 Problem: Imagine that four classes in Math 119 course obtained the following mean scores on the final examination; 75, 78, 72 and 80. Q: Could you sum these four means together and divide by 4 to obtain an overall mean for all of the four classes? A: This could be done only if the n (the number of students) in each class is identical What if; First Class = 30 students Second Class= 40 students Third Class= 25 students Fourth Class= 50 students Then the weighted mean is =?

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7 Problem: The following list gives the duration in minutes of 24 power failures. 1812544 9631 53 26 804912563 58 45 3389 12 103127 75 4080 61 28129 Find the median.

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