Question

the dot plot shows the results of a survey of the number of states that a group of nine people have each visited. each dot represents 1 person. which box - plot corresponds to the data in the dot plot? a number of states visited b number of states visited c number of states visited d number of states visited

Explanation:

Step1: Find the median

First, order the data from the dot - plot: 3, 3, 3, 4, 4, 4, 5, 8, 10. There are 9 data points. The median (Q2) is the 5th value when ordered, so Q2 = 4.

Step2: Find the lower quartile (Q1)

The lower half of the data is 3, 3, 3, 4. The median of this lower half (Q1) is the average of the 2nd and 3rd values (since there are 4 values), so Q1 = 3.

Step3: Find the upper quartile (Q3)

The upper half of the data is 5, 8, 10. The median of this upper half (Q3) is the 2nd value when ordered, so Q3 = 8.

Step4: Match with box - plot

The box - plot should have the box starting at Q1 = 3, ending at Q3 = 8, and the line inside the box at Q2 = 4. Looking at the box - plots A, B, C, and D, the correct box - plot is A.

Answer:

A