the value (sum of all measurements/total number of measurements) for a sample is known as the…
the value (sum of all measurements/total number of measurements) for a sample is known as the _________.\nmedian\nmean\nmode\nvariance\n\nquestion 2\n2 pts\nthe variance for a sample with values 2, 2, 2, 6, 6, and 6 is _________.\n4.8\n2\n5\n2.5\n\nquestion 3\n2 pts\nif a sample of 36 measurements has a variance of 25, what is the standard deviation?\n6\n5\n25/36\n5/6
Answer
Explanation:
Step1: Recall definitions
The sum of all measurements/total number of measurements is the mean.
Step2: Calculate variance for 2nd qn
Mean of 2, 2, 2, 6, 6, 6 is $\frac{3\times2 + 3\times6}{6}=4$. Variance $=\frac{3\times(2 - 4)^2+3\times(6 - 4)^2}{6}=4.8$.
Step3: Recall std - dev formula
Standard deviation is square - root of variance. For variance 25, std - dev is $\sqrt{25}=5$.
Answer:
- mean
- 4.8
- 5