Question

the histogram in the figure shows times between eruptions of a geyser. draw a smooth curve that captures its important features. then classify the distribution according to its number of peaks, symmetry or skewness, and variation. times between eruptions (in minutes) frequency 0 50 60 70 80 90 100 110 draw a smooth curve that captures the important features. choose the correct answer below. a. b. c. 50 60 70 80 90 100 110 times (minutes) 50 60 70 80 90 100 110 times (minutes) 50 60 70 80 90 100 110 times (minutes)

Explanation:

Step1: Analyze the Histogram

The given histogram (times between geyser eruptions) has two main peaks (around 50 - 60 and 80 - 90 minutes) and a dip in between. We need to find the smooth curve that matches this bimodal (two - peak) shape.

Step2: Evaluate Option A

Option A has a single peak, so it does not match the bimodal nature of the histogram.

Step3: Evaluate Option B

Option B has a single - peak (right - skewed or decreasing) shape, which does not match the two - peak structure of the histogram.

Step4: Evaluate Option C

Option C has two peaks, which matches the bimodal nature of the given histogram (the dip between the two peaks in the curve also corresponds to the dip in the histogram between 60 - 70 minutes).

Answer:

C