9. [1 point] Which of the following variables are likely to have a normal distribution? a. Grades on SAT exams b. IQ's c. Incomes of people in Manhattan d. Scores on a 4-point exam question.
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A normal distribution (or Gaussian distribution) is a symmetric, bell-shaped curve where most data points cluster around the mean, and the frequency of data points decreases as you move further from the mean. Many natural phenomena and human characteristics tend Show more…
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Please explain why you would or would not think each of the following variables to be normally distributed. [Hint: For a normally distributed variable, most of the data are around the middle value and the frequency of observations keeps falling as you move away from the middle in both directions] a. Home prices in a given area in the U.S. in 2020. (1 point) b. IQ test scores of U.S. adults in 2020. (1 point) c. Annual earnings of professional basketball players in the U.S. in 2019. (1 point) d. Birthweights of all girls born in the U.S. in 2020. (1 point) e. Please state two variables that you think are normally distributed and justify your answer. (2 points)
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