Make a box and whisker plot of the data
I'm sorry, as an AI language model, I cannot create visual diagrams. But I can help you understand how to create a box and whisker plot and interpret it.
Here are the steps to create a box and whisker plot:
1. Organize the data in ascending order.
2. Find the median (the middle value) of the dataset.
3. Find the lower quartile (Q1) - the median of the lower half of the dataset.
4. Find the upper quartile (Q3) - the median of the upper half of the dataset.
5. Calculate the interquartile range (IQR) = Q3 - Q1.
6. Determine the minimum value within 1.5 * IQR from the lower quartile.
7. Determine the maximum value within 1.5 * IQR from the upper quartile.
8. Any value outside of these ranges can be considered outliers.
Now, to draw the plot:
1. Create a number line with the scale representing the values in the dataset.
2. Draw a box extending from Q1 to Q3.
3. Draw a vertical line within the box at the median value.
4. Draw a horizontal line (whisker) from the lower end of the box (Q1) to the minimum value determined in step 6.
5. Draw a horizontal line (whisker) from the upper end of the box (Q3) to the maximum value determined in step 7.
6. Plot any outliers as individual points beyond the whiskers.
To interpret the box and whisker plot, observe the spread of the data and the position of the median. The box represents the middle 50% of the data, with 25% above Q3 and 25% below Q1. The position of the median relative to the box indicates skewness, with a higher median suggesting left skew and a lower median suggesting right skew. Outliers are single data points outside the whiskers and may be potential anomalies.