Question

1. use the following data for questions #10 - #15

34, 34, 65, 33, 35, 54, 57, 48, 42, 33, 36, 38, 44, 35, 36, 32, 36, 37, 44, 45
create a dotplot with intervals of size 5. what is the shape of the dotplot?
a. left skewed
b. right skewed
c. uniform
d. approximately normal

Explanation:

Step1: Analyze the data

First, we need to consider the distribution of the data. A left - skewed distribution has a tail on the left side. In a left - skewed distribution, the mean is less than the median. A right - skewed distribution has a tail on the right side (mean > median). A uniform distribution has data evenly spread across the intervals. A normal distribution is symmetric.

Let's assume we create the dot - plot (even without actually creating it, we can analyze the data values conceptually). The data values: 34, 34, 65, 33, 35, 54, 57, 48, 42, 33, 36, 38, 44, 35, 36, 32, 36, 37, 44, 45.
The lower values (in the 30s) are more frequent. For example, values like 32, 33, 34, 35, 36, 37, 38 (all in the 30s range) occur more often compared to higher values.

Step2: Determine the shape

Since the lower - valued data points (in the 30s) are more concentrated and there are relatively fewer higher - valued data points (like 54, 57, 65), the distribution has a tail on the right side. In a right - skewed distribution, the majority of the data is on the left (lower values) and a few larger values pull the tail to the right.

Answer:

b. right - skewed