Question

In one three‐day weekend:

The daily high temperature had a median value of 77.

The mean daily high temperature was 78.

The range of daily high temperatures was 21.

What were the three weekend daily high temperatures? Select them below.

Question 28 options:

	76
	92
	21
	63
	71
	78
	69
	89
	68
	90
	79
	77

Answer 1

In one three day weekend,

The daily high temperature has a median value of 77.

The mean daily high temperature is 78.

The range of daily high temperature is 21.

Now, as 77 is the median value, 77 is the observation of the middle high temperature.

And, there must be one temperature value which is more than 77 (say a), and there must be one temperature which is less than 77 (say b).

Now, as the mean value is 78, so we can say

....(i)

The range is 21; so we can say that

.........(ii)

We solve these two equations (i) and (ii).

From (i), we find

.....(iii)

Adding (ii) and (iii), we get

And then putting a=89, in (iii), we get

So, the answer is

The three weekend daily high temperatures are 68, 77 and 89.