Question

number of minutes shelly spent waiting for the bus each morning
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.

Explanation:

Step1: Identify the center (median)

First, count the number of data - points. There are 2 + 4+ 1+ 3+ 5+ 1 = 16 data - points. Since \(n = 16\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th ordered data - points. Ordering the data, the 8th and 9th data - points are both 13, so the median (center) is 13.

Step2: Identify the peak

The peak is the value with the most number of data - points. The value 14 has 5 data - points, which is the highest frequency, so the peak is at 14.

Step3: Identify clusters

There are two groups of data: one around 10 - 11 and another around 13 - 14, so it has two clusters.

Step4: Check skewness

The data has more values on the right - hand side, so it is skewed right, not left.

Step5: Identify the spread

The spread is from the minimum value (10) to the maximum value (15).

Answer:

The center is 13.
The peak is at 14.
It has two clusters.