Question

The table shows the maximum daily temperatures, in degrees Fahrenheit, recorded in a Texas town in May.

84 86 84 88 83 85 90 84 88 84
85 83 85 84 90 84 85 85 83 85

Which data display(s) can be used to find the median of the maximum daily temperatures?

Answer 1

I and II

Explanation:

Answer 2

The data 83, 83, 83, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 86, 88, 88, 90, 90 is used to find the median. The median is 85.

Explanation:

The given data is

84, 86, 84, 88, 83, 85, 90, 84, 88, 84, 85, 83, 85, 84, 90, 84, 85, 85, 83, 85

Median in the middle number of the data after the shorting. In other words the median is the number that is halfway into the set. To find the median, the first step is arrange the data in order from least to greatest.

The ascending order of the given data is

83, 83, 83, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 85, 86, 88, 88, 90, 90

The total number of observations is 20, which is even number. The median of the data with even number of observations is

`M=((n)/(2)th+((n)/(2)+1)th)/(2)`

`M=((20)/(2)th+((20)/(2)+1)th)/(2)`

`M=(10th+11th)/(2)`

`M=(85+85)/(2)`

`M=85`

Therefore the median is 85.