Question

a data set includes the entries 2, 4, 6, 8, 8, and 11. complete the data set with an entry between 1 and 11 so that the median and the mode of the set are equal. (type an integer or decimal.)

Explanation:

Step1: Current data set: [2,4,6,8,11]

Add x (1≤x≤11), new set size=6 (even median: avg of 3rd & 4th terms).

Step2: Mode requires x = existing value (duplicate). Possible x: 2,4,6,8,11.

Step3: x=6: sorted [2,4,6,6,8,11]. Mode=6.

Median: (6+6)/2=6. Mode=median=6.

Answer:

6