Question

The data show prices of light bulbs at a home improvement store, rounded to the nearest dollar. Find the interquartile range (IQR) of the data set.

5, 2, 8, 10, 2, 20, 6, 15, 29, 6, 2, 2, 5, 1, 3

Answer 1

8

Explanation:

1, 2, 2, 2, 2, 3, 5, 6, 6, 8, 10, 15, 20, 29

Median: 5.5

Lower quartile: 2

Upper quartile: 10

Interquartile range: 10 - 2 = 8

Answer 2

The interquartile range (IQR) of the data set is 8.

Explanation:

Given:

The data show prices of light bulbs at a home improvement store, rounded to the nearest dollar.

5, 2, 8, 10, 2, 20, 6, 15, 29, 6, 2, 2, 5, 1, 3.

Now, to find the interquartile range (IQR) of the data set.

So, we arrange first in orders:

1,2,2,2,2,3,5,5,6,6,8,10,15,20,29.

Now, to get the median:

1,2,2,2,2,3,5,5,6,6,8,10,15,20,29.

5 is the median.

So, to get the IQR we need to get the Q1 (median of the first half) and Q3 (median of the second half):

Q1 = 1,2,2,2,2,3,5, 5,6,6,8,10,15,20,29

Q1 = 2.

Q3 = 1,2,2,2,2,3,5,5 ,6,6,8,10,15,20,29

Q3 = 10.

Now, to calculate the IQR:

`IQR = Q3-Q1`

`IQR=10-2`

`IQR=8.`

Therefore, the interquartile range (IQR) of the data set is 8.