SOLUTION: The following question has to do with mean, median, and mode: Which statement is always true for a given data set? a. The mean is greater than the median. b. The mode is gre

Algebra.Com
Question 390690: The following question has to do with mean, median, and mode:
Which statement is always true for a given data set?
a. The mean is greater than the median.
b. The mode is greater than the mean.
c. 50% of the data is at or above the median.
d. The mean and median are equal.
Please explain the answer choice! Thank you.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Simple counterexamples can be provided to disprove answers a, b, and d. Answer c is the definition of the term "median."


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

given the set of data 1,1,2,2,2,3,3,4 which of the following is true? 1.mean (answered by stanbon)
For the set of numbers 2, 2, 4, 5, and 12, which statement is true? (A) Mean = Median (answered by alicealc)
A data set with at least 5 different numerical values in the set that has the same number (answered by edjones)
The following are the annual incomes (in thousands of dollars) for randomly chosen,... (answered by ewatrrr)
Make up a data set of 10 entries for which the mean is 7, the median is 8, and the mode... (answered by partha_ban)
List a set of data values with the following measures of central tendency: mean: 8,... (answered by richard1234)
Which of the following statements is NOT true? (a) In a symmetric distribution, the mean (answered by edjones)
Which of the following is most likely to be affected by a very extreme data value?... (answered by Boreal)
median of a set of dataHi, I am Noor, and I need an answer for my questions about graphs. (answered by Earlsdon)