Question

which of the dot - plots shows a skewed distribution?

1. create a dot plot showing a uniform distribution.
2. the data represent the number of ounces of water that 25 students drank before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88. (lesson 1 - 3)

a. create a dot plot for the data.

Explanation:

Step1: Recall distribution characteristics

A skewed - distribution has a long tail on one side. A uniform distribution has an equal number of data points (or approximately equal) across all values.

Step2: Analyze dot - plots for skewness

For the given dot - plots, we look for a plot where the data is concentrated on one side and has a tail on the other side. Without seeing the specific dot - plots in detail (assuming we are just going by general concepts), we know that a non - symmetric distribution with a long tail is skewed.

Step3: Analyze data for dot - plot creation (for part 4a)

For the data of the number of ounces of water that 25 students drank: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
We create a number line with values 8, 16, 32, 64, 80, 88. Then we place a dot above each value for each occurrence in the data set. For example, above 8 we place 3 dots, above 16 we place 3 dots, above 32 we place 6 dots, above 64 we place 7 dots, above 80 we place 4 dots, and above 88 we place 3 dots.

Answer:

For the question of which dot - plot shows a skewed distribution, you need to visually inspect the dot - plots for a non - symmetric shape with a long tail. For part 4a, the dot - plot has a number line with values 8, 16, 32, 64, 80, 88 and corresponding dots: 3 above 8, 3 above 16, 6 above 32, 7 above 64, 4 above 80, 3 above 88.