Question

The weights of 10 jumbo eggs are shown below, in units of grams. Which value below represents the third quartile for this data set? 61, 63, 64, 64, 65, 66, 66, 68, 72, 73(1) 68 (2) 70 (3) 72 (4) 73

Answer 1

68 is the third quartile

Here, we want to get the third quartile of the data set

We start with writing out the points in the dataset in ascending order

We have that as;

61,63,64,64,65,66,66,68,72,73

The count of the set is 10 points

Now, we proceed to use the formula for the third quartile

We have this as;

`\begin{gathered} Q_3\text{ = }(3(10+1))/(4) \\ \\ n\text{ = 1}0 \\ \\ Q_3\text{ =3( }(10+1)/(4))\text{ = }8.25 \end{gathered}`

What this mean is that the third quartile is the 8th term

Looking at the given arranged points, the 8th term is 68