each dot in the following dot plot represents the height of one toddler at mrs. orlandos daycare. find the…

Explanation:

Step1: Order the data

The ordered data set from the dot - plot is (81,82,83,83,84,84,84,85). There are (n = 8) data points.

Step2: Find the median (Q2)

Since (n = 8) (an even number), the median (Q2=\frac{83 + 84}{2}=83.5).

Step3: Find the lower half and Q1

The lower half of the data is (81,82,83,83). Since there are (n_1 = 4) data points (an even number), (Q1=\frac{82+83}{2}=82.5).

Step4: Find the upper half and Q3

The upper half of the data is (84,84,84,85). Since there are (n_2 = 4) data points (an even number), (Q3=\frac{84 + 84}{2}=84).

Step5: Calculate the IQR

The inter - quartile range (IQR=Q3 - Q1). Substitute (Q1 = 82.5) and (Q3 = 84) into the formula: (IQR=84 - 82.5 = 1.5).

Answer:

(1.5)