Question

identify any clusters, gaps, or outliers in the histogram.

select all that apply.

a. there is a cluster between 475 miles and 525 miles.
b. there is a gap between 225 miles and 275 miles.
c. there is an outlier at approximately 325 miles.
d. there is an outlier at approximately 675 miles.
e. there is a gap between 475 miles and 625 miles.
f. there is a cluster between 475 miles and 575 miles.
g. the histogram has no clusters, gaps, or outliers.

Explanation:

Analyze the histogram for gaps

$$ \text{Frequency for interval } [225, 275] = 0 $$

$$ \text{This indicates a gap between 225 miles and 275 miles.} $$

Analyze the histogram for clusters

$$ \text{Peak frequency occurs in the interval } [475, 525] \text{ with a value of 13.} $$

$$ \text{This represents a distinct cluster of data between 475 miles and 525 miles.} $$

Analyze the histogram for outliers

$$ \text{The value at approximately 200 miles is separated from the rest of the data by a gap, but is not far enough to be a clear outlier.} $$

$$ \text{There are no data points near 675 miles or isolated values at 325 miles.} $$

Answer:

• A. There is a cluster between 475 miles and 525 miles. (Correct answer)
• B. There is a gap between 225 miles and 275 miles. (Correct answer)
• C. There is an outlier at approximately 325 miles.
• D. There is an outlier at approximately 675 miles.
• E. There is a gap between 475 miles and 625 miles.
• F. There is a cluster between 475 miles and 575 miles.
• G. The histogram has no clusters, gaps, or outliers.