A is not always true. The mean in a data could be a value that's in the data for example (like if the mean was 20 and if 20 appeared in the data).
B must be true because the mode in a data set is the most frequent data value. If there is no mode, then there's no mode.
C is not correct. You can still find the median in a set of data without the median itself.
D is not true because it's basically the opposite of why A is wrong.
Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student determined the accuracy of the following statement.
All measures of central tendency must appear as a number in the set of data collected.
Which student’s statement is CORRECT?
A.
Zeke says this is never true because all the measures of central tendency are never numbers in the set of data.
B.
Harry says this is sometimes true because the mean and median may or may not be in the set of data, but the mode is always in the set of data.
C.
Brook says this is sometimes true because the mean and mode may or may not be in the set of data, but the median is always in the set of data.
D.
Emily says this is always true because all the measures of central tendency also have to be numbers in the set of data.
5 answers
d
is incorrect. See the explanation above for why it is not a correct statement.
B
B is the correct answer. See the explanation above for why it is a correct statement.
2 answers