Question

The following scatterplot shows the ages, in years, of 12 of the wealthiest people in the world along with their net worth, in billions of dollars. The data point at age 83 is labeled Q. Suppose point Q is removed from the data set. Which of the following is likely not affected by the removal?

1) The age of the wealthiest person
2) The net worth of the wealthiest person
3) The correlation between age and net worth
4) The position of other data points on the scatterplot

Answer 1

The position of other data points on the scatterplot is likely not affected by the removal of a data point Q.

Step-by-step explanation:

To determine which of the following options is likely not affected by the removal of data point Q from the scatterplot, we need to analyze each option:

1. The age of the wealthiest person: This is likely to be affected because the age of the wealthiest person may shift depending on the age of data point Q.
2. The net worth of the wealthiest person: This is also likely to be affected as the net worth of the wealthiest person may change based on the data point Q.
3. The correlation between age and net worth: This may or may not be affected depending on how influential data point Q is in the correlation calculation.
4. The position of other data points on the scatterplot: This is likely not affected by the removal of data point Q, as the position of other data points is independent of Q's presence.

Based on this analysis, the option that is likely not affected by the removal of data point Q is

4) The position of other data points on the scatterplot.