6. The article Electrical Insulation icle Testing Practices for the AC Breakdown

Question

6. The article Electrical Insulation icle Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids" in IEEE son Magazine gave 48 sample observations on breakdown voltage (kV) of a particular Practi circuit under certain conditions. The results are summarized in Relative Frequency 0.20 0.15 0.10 0.05t Breakdown Voltage (kV) 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 a) [10 Points] Using the histogram, estimate the number of observations from the sample of 48 to breakdown below 64 kV. the histogram, estimate the percentage of circuits under certain conditions that b) [10 Points] Using breakdown below 52 kV c) [10 Points] The engineers conduct two additional tests resulting in breakdown voltages of 49 and 92 kV, respectively. Explain the effect including these two observations in the data set above will have on the mean and median of the data (no calculations required).

Explanation / Answer

(a)

The total relative frequencies of bar above 64 kV is: 0.05 +0.02 = 0.07

So the total relative frequencies of bar below 64 kV is: 1 -0.07 = 0.93

Therefore number of observations belowe 64kV is: 0.93* 48 = 44.64

Answer: 45

(b)

Relative frequencies of bar below 52 kV is: 0.02+0.07+0.02+0.15=0.26

The required percentage is: 26%

(c)

Mean will increase because it will increase the total. Median will be remain same because both are 49 and 92 will come at ends in ordered data set.

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