Question

each dot in the following dot plot represents the height of one toddler at mrs. orlandos daycare. find the interquartile range (iqr) of the data in the dot plot. cm

Explanation:

Step1: Count data points

There are 1 + 1+ 2 + 4+ 1=9 data - points.

Step2: Find the median (Q2)

Since there are 9 data - points, the median is the 5th ordered value. Arranging the data in ascending order (81, 82, 83, 83, 84, 84, 84, 84, 85), the median Q2 = 84.

Step3: Find Q1

The lower half of the data is 81, 82, 83, 83. The median of the lower half (Q1) is the average of the 2nd and 3rd values. So, Q1=$\frac{82 + 83}{2}=82.5$.

Step4: Find Q3

The upper half of the data is 84, 84, 84, 85. The median of the upper half (Q3) is the average of the 2nd and 3rd values. So, Q3=$\frac{84+84}{2}=84$.

Step5: Calculate IQR

IQR = Q3 - Q1. Substituting the values, IQR=84 - 82.5 = 1.5.

Answer:

1.5