Question

the histogram to the right shows the times between eruptions of a geyser for a sample of 300 eruptions (which means 299 times between eruptions) over the histogram, draw a smooth curve that captures its general features then classify the distribution according to its number of peaks and its symmetry or skewness. choose the correct answer below a. one peak, symmetric, low variation b. three peaks, symmetric, wide variation c. one peak, right - skewed, moderate variation d. two peaks, left - skewed, wide variation

Explanation:

1. Number of Peaks: The histogram has one main peak (the tallest bar or cluster of bars in the middle), so it's unimodal (one peak). Options B (three peaks) and D (two peaks) are eliminated.
2. Symmetry/Skewness: The left and right sides of the peak appear roughly mirror - image, indicating symmetry. Option C (right - skewed) is eliminated.
3. Variation: The data spreads from around 60 to 90 (with some small values at the ends), but the main cluster is relatively compact, suggesting low variation.

Answer:

A. one peak, symmetric, low variation