some teenagers collected trash for a beach clean - up. the data for the number of pounds of trash collected…

some teenagers collected trash for a beach clean - up. the data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 what is the iqr of the data? 1 pounds 5 pounds 5.033 pounds 15 pounds

some teenagers collected trash for a beach clean - up. the data for the number of pounds of trash collected by each teenager are shown below. 26, 26, 21, 22, 20, 25, 35 what is the iqr of the data? 1 pounds 5 pounds 5.033 pounds 15 pounds

Answer

Explanation:

Step1: Arrange data in ascending order

$20, 21, 22, 25, 26, 26, 35$

Step2: Find the median (Q2)

Since there are 7 data - points, the median is the 4th value. So, $Q2 = 25$.

Step3: Find the lower half and Q1

The lower half is $20, 21, 22$. The median of the lower half (Q1) is 21.

Step4: Find the upper half and Q3

The upper half is $26, 26, 35$. The median of the upper half (Q3) is 26.

Step5: Calculate the IQR

$IQR=Q3 - Q1=26 - 21 = 5$

Answer:

5 pounds