Question

spicy - section
below you will find spicy level questions. generally speaking, if you want to demonstrate a deep understanding of class content and position yourself closer to an a - level grade in the class, attempt master spicy - level questions.
question 13
(1) given the graph of data / code 1 below, which value is larger
mean
median
explain your reasoning.
(2) here is a graph of the salaries at the university of illinois for teachers. add 3 data points to the graph to skew the data to the right.
explain your reasoning.

Explanation:

Step1: Recall mean - median relationship in skewed distributions

In a right - skewed distribution, the mean is greater than the median. Looking at the given histogram, it is right - skewed (the tail is on the right side). So, the mean is larger.

Step2: Adding data points

To add 3 data points to the dot - plot of teacher salaries, we can add values based on the existing distribution. For example, we could add 115, 120, 125 to maintain the general right - skewed nature of the data.

Answer:

1. Mean is larger. Reason: The histogram is right - skewed and in right - skewed distributions, mean > median.
2. Data points added could be 115, 120, 125.