Question

Are based on the following sample of ages (in months) of 18 children

at a day care: 36,42, 18, 32, 22, 22,25,29,30,31,19,24,35,29,26, 36, 24, 28
5. The median age of the children is...
a) 29
b) 28.2
c) 30.5
d) 28.5
e) 316.

Answer 1

The median age of the children in the daycare sample, after arranging the ages in ascending order and averaging the two middle values (both are 29), is determined to be 29 months.

Step-by-step explanation:

To find the median age of children at a daycare from the given sample, we must first arrange the ages in ascending order:

18, 19, 22, 22, 24, 24, 25, 26, 29, 29, 30, 31, 32, 35, 36, 36, 42, 285

Now, to calculate the median for an even number of observations (18 in this case), we take the average of the two middle numbers. The middle numbers are the 9th and 10th values in our ordered list since (18/2) = 9. Therefore, the two middle ages are both 29. To get the median, we average these two numbers:

(29 + 29) / 2 = 29

The median age of the children is 29 months, which corresponds to option (a) 29.