Final answer:
To construct a histogram for the basketball team scores, tally the scores into intervals of 10 points and plot bars corresponding to the frequencies on graph paper. From the histogram, you can observe the distribution's range, modes, skewness, and any outliers.
Step-by-step explanation:
Part A: Constructing a Histogram
To construct a histogram of the Eastside High School varsity ladies basketball team scores using intervals of 10 points, follow these steps:
- Choose appropriate scale and intervals for the scores. Intervals could be 20-29, 30-39, ..., 80-89, 90-100.
- Tally the scores into the intervals.
- Draw the horizontal and vertical axes on graph paper. Label the horizontal axis with the score intervals and the vertical axis with the frequency of scores.
- Construct bars above each interval with the height corresponding to the frequency of scores within that interval.
Based on the provided scores, the histogram would display intervals such as: 20-29, 30-39, ..., 70-79, 80-89.
Part B: Observations about the Distribution
After constructing the histogram, you can make several observations about the distribution of the scores:
- Most of the scores fall within a specific range or ranges.
- There may be peaks (modes) where scores are concentrated.
- Look for skewness where one tail of the distribution is longer than the other.
- Identify any outliers that fall well outside the typical range of scores.
For example, if most scores fall within the 50-59 and 60-69 ranges, we could say the distribution is centered around these intervals. If there is a single score significantly lower or higher than the rest (like a score of 25), it would be considered an outlier.