Which of the following statements are true? Select all that apply. The variance
ID: 3208938 • Letter: W
Question
Which of the following statements are true? Select all that apply.
The variance must be non-negative, but the standard deviation can be negative.
The median is not sensitive to extremely large or extremely small values.
The mean and median of a quantitative variable are always equal.
Let Q1, Q2 and Q3 denote the three quartiles. Q3 - Q2 = Q2 - Q1 always holds.
a.The variance must be non-negative, but the standard deviation can be negative.
b.The median is not sensitive to extremely large or extremely small values.
c.denotes a sample mean.
d.denotes a sample standard deviation.
e.The mean and median of a quantitative variable are always equal.
f.Let Q1, Q2 and Q3 denote the three quartiles. Q3 - Q2 = Q2 - Q1 always holds.
Explanation / Answer
Following are TRUE
b) The median is not sensitive to extremely large or extremely small values.
f) Let Q1, Q2 and Q3 denote the three quartiles. Q3 - Q2 = Q2 - Q1 always holds.
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