In a data analysis, the breakdown time of an insulating fluid between electrodes at 34 kv is recorded. the times, in minutes, are as follows: 0.19, 0.78, 0.96, 1.31, 2.78, 3.16, 4.15, 4.67, 4.85, 6.50, 7.35, 8.01, 8.27, 12.06, 31.75, 32.52, 33.91, 36.71, and 72.89. calculate the sample mean and sample standard deviation

Sample mean = 14.3589

Sample standard deviation = 18.8804

Step-by-step explanation:

We are given the following information:

0.19, 0.78, 0.96, 1.31, 2.78, 3.16, 4.15, 4.67, 4.85, 6.50, 7.35, 8.01, 8.27, 12.06, 31.75, 32.52, 33.91, 36.71, 72.89

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 200.7590696 + 184.3878117 + 179.5317906 + 170.2750275 + 134.0720222 + 125.4164222 + 104.2226064 + 93.8757011 + 90.42008005 + 61.76305373 + 49.12534321 + 40.30913268 + 37.07528005 + 5.285159001 + 302.4487116 + 329.8238326 + 382.2436589 + 499.5695537 + 3425.884122 = 6416.4883

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.