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 $3.28 $3.32 $3.35 $3.31

Answer 1

Answer: 3.32

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Step-by-step explanation:

The second quartile (Q2) is the same as the median, which is the middle most value of a list.

Sort the values from smallest to largest

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

hint: it might help to sort the decimal portions of each number (26, 28, etc) since each value starts with '3'

There are 13 values listed. The value in slot 7 will be in the exact center. This is because 13/2 = 6.5 which rounds to 7. The first 6 items are below the median. The last 6 items are above the median.

The value in slot 7 is the number 3.32, so this is the median.

Answer 2

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.

Second quartile is same as the median, that means you need the mid value.