Question

during a seven - day period in july, a meteorologist recorded that the median daily high temperature was 91°. which of the following are true statements? 1) the high temperature was exactly 91° on each of the seven days. 2) the high temperature was never lower than 92°. 3) half the high temperatures were above 91° and half were below 91°. 1 only 2 only 3 only 1, 2 and 3

Explanation:

1. The median is the middle - value when data is arranged in ascending or descending order. It doesn't mean the value is the same on each day. So, statement 1 is false.
2. The median being 91° doesn't rule out the possibility of temperatures lower than 91°, let alone lower than 92°. So, statement 2 is false.
3. For a set of 7 (an odd - numbered) data points, when arranged in order, the median is the 4th value. So, 3 values are below and 3 values are above the median, which means half (3 out of 7 is approximately half in the sense of splitting into two groups) the high temperatures are above 91° and half are below 91°. So, statement 3 is true.

Answer:

C. 3 only