Question

A student noticed different gas prices as she drove around town. Find the second quartile. $3.31 $3.28 $3.42 $3.35 $3.31 $3.26 $3.38 $3.32 $3.34

Answer 1

Answer :$3.32

Explanation :

First arrange the given discrete values in ascending order.

$3.26, $3.28, $3.31, $3.31, $3.32, $3.34,$3.35, $3.38, $3.42

we will use the formula 1/2 x (n +1), where n is total number of discrete values which in this case is 9.

This formula doesn't give the answer of the second quartile, it tells which nth term in the arranged set will be the second quartile.

1/2 (9+1) = 5.

Now we will choose the 5th term of the ascending order set.

The second quartile is same as the median, which is the mid value of the given set of the number.

The I.Q.R = Q3 - Q1

Answer 2

The second quartile will be $3.32

Explanation:

The list of different gas prices is......

$3.31, $3.28, $3.42, $3.35, $3.31, $3.26, $3.38, $3.32, $3.34

Second quartile actually means the Median of the data list. So, first we need to put the list in ascending order like......

$3.26, $3.28, $3.31, $3.31, $3.32, $3.34, $3.35, $3.38, $3.42

As there are total 9 data in the list, so the median will be the
`((9+1)/(2))` or
`5th` number, which is $3.32

So, the second quartile will be $3.32