Final answer:
The sum of the yield strengths is 970 kN. Dividing by the total number of values (8) gives a sample average of approximately 121 kN. The sample standard deviation needs to be calculated following a multi-step process.
Step-by-step explanation:
To calculate the sample average, you need to sum up all the given values and then divide by the number of values. The given values are 96, 102, 104, 108, 126, 128, 150, and 156.
The sum of these values is 96 + 102 + 104 + 108 + 126 + 128 + 150 + 156 = 970 kN. There are 8 values in total, so the average is 970 kN / 8 = 121.25 kN. Since typically the average is rounded to the nearest whole number, the sample average is approximately 121 kN.
To calculate the sample standard deviation, follow these steps:
- Calculate the average (mean) as mentioned above.
- Subtract the mean from each number to find the deviation for each value.
- Square each deviation.
- Sum all the squared deviations.
- Divide by the number of data points less one (n - 1) because this is a sample, not a population.
- Take the square root of the value from step 5 to find the standard deviation.
For these data points, the calculations would provide you with the sample standard deviation.
None of the provided options match these calculations exactly, which suggests there may be a mistake in the options given.