Question

Find the interquartile range (IQR) of the data in the dot plot below

Answer 1

Answer:

2 cm

Step-by-step explanation:

As we know, the iqr is found by subtracting Q3-Q1. So that means we need to find them first. Finding the median will help us accomplish this task. So when writing out the numbers to solve it 81,82,83,83,84,84,84,85 because the amount of data points are an even number, we will have two data points which will help us solve our median which in this case is where the 83 and 84 meet. Our median is thus 83+84/2 which is 83.5. Now look on both sides of the two numbers which make up our median. On either side of the 2 data points needed for the median, the is another 3 data points. To find your q1 and q3, you need to find the median of these numbers. For Q1 look for the median between the numbers 81,82,83 and for Q3, look for the median in the numbers 84,84,85. So, knowing this information, our Q1 value is 82 and our Q3 value is 84. So..... input these into the equation we have up top which is Q3-Q1=IQR so...... 84-82=IQR, thus, our IQR is 2.