Question

A set of four numbers that begins with the number 32 is arranged fromsmallest to largest. If the median is 35, which of the following could possiblybe the set of numbers?a) 32, 32, 36, 38b) 32, 35, 38, 41c) 32, 34, 36, 39d) 32, 36, 40, 44

Answer 1

Given the word problem, we can deduce the following information:

1. A set of four numbers that begins with the number 32 is arranged from

smallest to largest.

2. The median is 35.

To determine the possible set of numbers of which the median is 35, we first note that median is the number separating the other half of the ordered data sample from the lower half.

Now, we check the median of each choices:

For a) 32, 32, 36, 38:

`Median=(32+36)/(2)=34`

For b) 32, 35, 38, 41:

`Median=(35+38)/(2)=36.5`

For c) 32, 34, 36, 39

`Median=(34+36)/(3)=35`

For d) 32, 36, 40, 44​:

`Median=(36+40)/(2)=38`

Therefore, the answer is: c) 32, 34, 36, 39