Question

consider the distribution of the numbers of people whose street address ends in 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 (the data set has 10 values). complete parts (a) through (d) below.
b. make a sketch of the distribution. choose the correct answer below.
(options with graphs labeled a, b, c, d showing distributions for last digits 0 - 9)
c. would you expect the distribution to be symmetric, left - skewed, or right - skewed? explain
a. the distribution would probably be right - skewed because there is a clear minimum last digit of 0 but no obvious maximum last digit
b. the distribution would probably be left - skewed because the number of street addresses that end in each digit increases as the digits increase
c. the distribution would probably be left - skewed because there are so many long streets, and therefore many more addresses with a last digit closer to 9 than to 0
d. the distribution would probably be symmetric because there are no obvious factors to indicate that any single digit would occur as the last digit more frequently than any other

Explanation:

To determine the skewness of the distribution of street address last digits (0 - 9), we analyze the expected frequency of each digit. There's no inherent reason for any digit (0 - 9) to be more frequent than others in street addresses. Without a factor favoring a specific digit, the distribution should be symmetric, as each digit has an equal chance of occurring (or no obvious bias toward higher or lower digits). Option D states this reasoning, while other options suggest skewness (left or right) based on incorrect assumptions (e.g., digits increasing in frequency, or a minimum/maximum bias, which isn't supported here).

Answer:

D. The distribution would probably be symmetric because there are no obvious factors to indicate that any single digit would occur as the last digit more frequently than any other