Answer:
D 23, 36, 25, 38, 30
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all it's values divided by the number of values.
Median of a data-set:
The median of a data-set is the value that separates the lower 50% from the upper 50% on the ordered set.
If the cardinality n is odd, as in this case, the median is the element at the position (n+1)/2. Since in this case, n = 5, the median is the 3rd element in the ordered set.
A 13, 42, 17, 26, 38
Ordered set: 13, 17, 26, 38, 42
Median: 26
Mean: (13+17+26+38+42)/5 = 27.2
Difference: 27.2 - 26 = 1.2
B. 28, 7, 36, 8, 17
Ordered set: 7, 8, 17, 28, 36
Median: 17
Mean: (7+8+17+28+36)/5 = 19.2
Difference: 19.2 - 17 = 2.2
C 14, 29, 38, 7, 13
Ordered set: 7, 13, 14, 29, 38
Median: 14
Mean: (7+13+14+29+38)/5 = 20.2
Difference: 20.2 - 14 = 6.2
D 23, 36, 25, 38, 30
Ordered set: 23, 25, 30, 36, 38
Median: 30
Mean: (23+25+30+36+38)/5 = 30.4
Difference: 30.4 - 30 = 0.4
Option d has the smallest difference.
