Question

the center is 13. the center is 14. the peak is at 14. it has two clusters. it is skewed left. the spread is from 13 to 15. the person waited for the bus 16 times.

Explanation:

Step1: Calculate the median (center)

Count the total number of data points. There are \(2 + 4+3 + 7+1=17\) data points. The median is the \(\frac{17 + 1}{2}=9^{th}\) data point.
Order the data: \(10,10,11,11,11,11,13,13,13,14,14,14,14,14,14,14,15\). The \(9^{th}\) data point is \(13\).

Step2: Identify the peak

The peak is the value with the most data points. At \(14\), there are \(7\) data points.

Step3: Check for clusters

Clusters are groups of data points close together. There is a cluster around \(10 - 11\) and a cluster around \(13 - 14\).

Step4: Check skewness

Skewness: Since the tail is on the right (fewer data points at \(15\)), it is not skewed left.

Step5: Calculate spread

Spread is from the minimum to the maximum. Minimum is \(10\), maximum is \(15\).

Step6: Calculate total number of waits

Total number of data points (each dot represents a wait) is \(2+4 + 3+7+1=17\)

Answer:

• The center is \(13\).
• The peak is at \(14\).
• It has two clusters.