23. Which is corect regarding the statement: “If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number” there is not enough information provided to answer the question the statement is always true the statement is sometimes true the statement is always false
So the median of this data set is the mean of the two middle numbers, which are x+2 and x+6 Mean = ((x+2)+(x+6))/2 Mean = (2x+8)/2 Mean = x+4 We can say from this addition that if x is an odd number then the mean will also always be odd. By extension we can therefore say that the median of the set will also be odd. Hence the answer is B
B
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