Q 56. - The Practice of Statistics for AP

Question

Drive time Professor Moore, who lives a few miles outside a college town, records the time he takes to drive to the college each morning. Here are the times (in minutes) for $42$ consecutive weekdays: 

Make a histogram of these drive times. Is the distribution roughly symmetric, clearly skewed, or neither? Are there any clear outliers?

Step-by-Step Solution

Answer

There are no outliers or extreme values.

Step 1: Given information

8.25	7.83	8.30	8.42	8.50	8.67	8.17	9.00	9.00	8.17	7.92
9.00	8.50	9.00	7.75	7.92	8.00	8.08	8.42	8.75	8.08	9.75
8.33	7.83	7.92	8.58	7.83	8.42	7.75	7.42	6.75	7.42	8.50
8.67	10.17	8.75	8.58	8.67	9.17	9.08	8.83	8.67

Step 2: Concept

The formula used: Range=Minimum value-Maximum value

Step 3: Explanation

The Histogram of the drive time is 

The distribution's form appears to be closer to symmetric. It is a left-skewed distribution in particular, with the data centering at $8.4$ minutes.

Therefore,

Maximum value = $10.17$

Minimum value=$6.75$

Range=Minimum value-Maximum value

$Range=10.17-6.75=3.42$

Therefore, there are no outliers or extreme values.