True or False. For the data set (2, 3, 4, 3, 6, 75), the median is a better measure of the center than the mean. Explain
2007-07-02 12:07:11 · 4 answers · asked by Eugene D 1 in Science & Mathematics ➔ Mathematics
True, because the data is highly skewed.
median = 3.5
mean = 15.5
Clearly 3.5 is a much better indicator of centrality.
2007-07-02 12:12:33 · answer #1 · answered by Dr D 7 · 2⤊ 0⤋
Hello
Arrange them in increasing order
2 3 3 4 6 75
Now the median is the middle score, since there are six values we must take the average of the middle two number which are 3 and 4 so the average is 3.5 and then the median is 3.5. the mean is 15.5 so the median is a better measure of central tendency.
Hope This Helps!
2007-07-02 12:12:12 · answer #2 · answered by CipherMan 5 · 0⤊ 0⤋
yes.. the 75 in there distorts the mean. the median is 3.5. The mean is 15.5 lol.
2007-07-02 12:11:19 · answer #3 · answered by TadaceAce 3 · 0⤊ 0⤋
This is true as the arithmetic mean is sensitive to "outliers", whereas the median (middle value) is not.
2007-07-02 12:12:33 · answer #4 · answered by fjblume2000 2 · 0⤊ 0⤋