Question: Suppose you study family income in a random sample of 200 families. Your results can be summarized as the mean family income was $44,000, the median family income was $29,000, the highest and lowest incomes were $259,000 and $2000.00 respectively.

a. Draw a rough sketch of the income distribution, with clearly labeled axes. Describe the distribution as symmetric, left-skewed, or right-skewed.

b. How many families in the sample earned less than $29,000. Explain how you know. Choose correct answer.

A. 50 families, because the mean is the average value income.

B. 100 families, because the median is the middle value in the sorted data set.

C. 150 families, because the mode is the most common value in a data set.

c. Based on the given data, can you determine how many families earned more than $44,000? Why or why not? Choose the correct answer.