1. **Stating the problem:** We are given a histogram showing the distribution of total points Hazel scored in each game last month. We need to describe the distribution and identify an appropriate measure of variation, specifically the standard deviation. 2. **Understanding the distribution:** The histogram shows frequencies of games in different point ranges (0-25, 26-50, ..., 176-200). The shape of the distribution (e.g., symmetric, skewed) helps us decide the best measure of variation. 3. **Describing the distribution:** If the histogram is roughly symmetric, the mean and standard deviation are appropriate measures. If it is skewed, the median and interquartile range are better. 4. **Standard deviation as a measure of variation:** Standard deviation measures how spread out the scores are around the mean. 5. **Completing the sentences:** - The distribution of total points is best described as **(likely skewed or symmetric depending on histogram shape, but since not specified, assume symmetric)**. - The standard deviation is an appropriate measure of variation because it quantifies the average distance of scores from the mean. Since the exact histogram data is not provided, the best general answer is: **The distribution of total points is best described as symmetric.** **The standard deviation is an appropriate measure of variation.**