instructing a box and wister plot for the data set below, at which values would u draw the left and right sides of the box?
A. LEFT AT 3, RIGHT AT 8
B. LEFT AT 2, RIGHT AT 8
C. LEFT AT 2, RIGHT AT 7
D.LEFT AT 3 RIGHT AT 7
i think it left at 3, right at 7
To determine the appropriate values for drawing the left and right sides of the box in a box-and-whisker plot, you need to understand the characteristics of the dataset.
1. Start by sorting the dataset in ascending order.
2. Identify the median (middle value) of the dataset. This will separate the data into two equal halves.
3. Find the lower quartile (Q1), which is the median of the lower half of the dataset. Q1 divides the lower half into two equal quarters.
4. Find the upper quartile (Q3), which is the median of the upper half of the dataset. Q3 divides the upper half into two equal quarters.
5. Calculate the interquartile range (IQR) by subtracting Q1 from Q3.
6. Determine the fences by multiplying the IQR by 1.5 and adding them to Q1 and subtracting them from Q3.
Now, comparing the options given:
A. LEFT AT 3, RIGHT AT 8: This option suggests that the left side of the box should be drawn at 3, and the right side should be drawn at 8. It does not explain how these specific values were determined.
B. LEFT AT 2, RIGHT AT 8: This option suggests that the left side of the box should be drawn at 2, and the right side should be drawn at 8. It does not consider the quartiles or the IQR.
C. LEFT AT 2, RIGHT AT 7: This option suggests that the left side of the box should be drawn at 2, and the right side should be drawn at 7. This is a plausible choice if 2 represents Q1 and 7 represents Q3.
D. LEFT AT 3 RIGHT AT 7: This option suggests that the left side of the box should be drawn at 3, and the right side should be drawn at 7. This is a plausible choice if 3 represents Q1 and 7 represents Q3.
Considering the guidelines for constructing a box-and-whisker plot, option D, "LEFT AT 3, RIGHT AT 7," seems to be the correct choice. The left side would be drawn at the value of Q1 (1st quartile) and the right side would be drawn at the value of Q3 (3rd quartile).