(10 points) True or false. Justify your answer for full credit. (2 points each)

Question

(10 points) True or false. Justify your answer for full credit. (2 points each) a. The maximum value of the data set in problem 3 above is 107. If the analyst makes one mistake only and record it as 10.7, then the mistake will change the mean and the median of the data set. b. If the variance of a data set is zero, then all observations must also be zero. c. The standard deviation of a data set cannot be negative d. The variance of a data set is always positive e. The following graph have a negative correlation: 10 ember-0… 3. Each day, your F9

Explanation / Answer

Solution:

(a) False.

Explaination: Extreme values does not affect on median. It only affects on mean. Hence given statement is false.

(b) False.

Explaination: If the variance of data set is zero, then all observations must be same.

(c) True

(d) False

Explaination: Variance may be zero. So we can say it is never negative.

(e) True.

Explaination: We can see trend of data is reverse. Hence given statement is correct.

Done

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