Question

find the range of the data set represented by the graph click the icon to view the graph the range of the data set is

Explanation:

To find the range of a data set, we use the formula:
$$\text{Range} = \text{Maximum value} - \text{Minimum value}$$

Step 1: Identify the minimum and maximum values from the graph

From the "Woman’s Age at First Childbirth" histogram, the age groups are \(0 - 24\), \(25\), \(26\), \(27\), \(28\), \(29\), \(30\), \(31\), \(32\), \(33\), \(34\).

• The minimum age (lower bound of the first group) is \(0\) (or \(20 - 24\) midpoint? Wait, the x - axis labels are \(0 - 24\), \(25\), \(26\), ..., \(34\). Assuming the first interval is \(0 - 24\) (minimum age ~ \(0\) or \(20\)? Wait, likely the age groups are \(20 - 24\), \(25\), \(26\), ..., \(34\) (typo in labeling). But the key is:
• Minimum age: \(20\) (or \(0 - 24\) → min = \(0\)? No, age at first childbirth can’t be \(0\). Likely the first bar is \(20 - 24\) (min = \(20\)), last bar is \(34\) (max = \(34\)).

Step 2: Calculate the range

If minimum age \(= 20\) and maximum age \(= 34\):
$$\text{Range} = 34 - 20 = 14$$

(Note: If the first interval is \(0 - 24\) (unrealistic for childbirth), but assuming the graph’s x - axis is mislabeled and the first age group is \(20 - 24\), the range is \(34 - 20 = 14\). If the first group is \(20 - 24\) (min = \(20\)) and last is \(34\) (max = \(34\)), range \(= 34 - 20 = 14\).)

Answer:

The range of the data set is \(\boldsymbol{14}\) (assuming age groups start at \(20\) and end at \(34\); adjust if x - axis labels are corrected, but the process is \( \text{max} - \text{min} \)).