Question

what is the best description of the shape of the data distribution shown? histogram with frequency on y - axis, x - axis intervals: 1–15, 16–30, 31–45, 46–60, 61–75, 76–90, 91–105. options (listed vertically): symmetric, left - skewed, right - skewed, uniform

Explanation:

To determine the shape of the data distribution, we analyze the histogram. A left - skewed (negatively skewed) distribution has a longer tail on the left side, a right - skewed (positively skewed) distribution has a longer tail on the right side, a symmetric distribution has data evenly distributed around the center, and a uniform distribution has approximately equal frequencies across all intervals. In this histogram, the tail of the distribution is on the right side (the frequencies decrease as the values increase towards the higher end, creating a longer tail on the right). So the data distribution is right - skewed.

Answer:

Right - skewed