Question

REINFORCEMENT #1 IN MATHEMATICS 10Please draw and fill the table :)

Answer 1

A set of data is given. It is required to find the first, second, and third quartile.

The given data is:

$2,8,9,10,14,15,16,16,17,17,20$

Recall that the lower quartile Q₁, or the first quartile, is the median of the lower half of the data in a set.

The lower half is:

$2,8,9,10,14$

Find the median of the lower half to get the first quartile, Q₁:

Hence, Q₁=9.

Recall that the second quartile Q₂ is the same as the median of the data.

The median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Notice that the middle number is 15.

Hence, second quartile Q₂=15.

The upper quartile Q₃, or the third quartile, is the median of the upper half of the data in a set.

The upper half of the data is:

$16,16,17,17,20$

Calculate the median to find the third quartile, Q₃:

It follows that Q₃=17

The complete table is shown below: