Question

lesson 9 practice problems
1 technology required. the data represent the average customer ratings for several items sold online.
0.5 1 1.2 1.3 2.1 2.1 2.1 2.3 2.5 2.6 3.5 3.6 3.7 4 4.1 4.1
4.2 4.2 4.5 4.7 4.8
a. use technology to create a histogram for the data with intervals 0 - 1, 1 - 2, and so on.
b. describe the shape of the distribution.
c. which interval has the highest frequency?

Explanation:

Step1: Count data in intervals

For the interval 0 - 1, the data points are 0.5, 1, so the frequency is 2. For 1 - 2, the data points are 1.2, 1.3, so the frequency is 2. For 2 - 3, the data points are 2.1, 2.1, 2.1, 2.3, 2.5, 2.6, so the frequency is 6. For 3 - 4, the data points are 3.5, 3.6, 3.7, so the frequency is 3. For 4 - 5, the data points are 4, 4.1, 4.1, 4.2, 4.2, 4.5, 4.7, 4.8, so the frequency is 8.

Step2: Describe shape

The distribution is right - skewed. There are more lower values and the tail extends to the right (towards the higher values).

Step3: Identify highest frequency interval

The interval 4 - 5 has the highest frequency of 8.

Answer:

a. (Cannot actually create the histogram here but steps for counting frequencies in intervals are above).
b. Right - skewed.
c. 4 - 5