Questions: A scientist recorded the number of geese found in a park on various days of the week. The data are shown below. 6,9,2,12,3,5,9 What is the range of these data? A. 2 B. 10 C. 12 D. 7

A scientist recorded the number of geese found in a park on various days of the week. The data are shown below.
6,9,2,12,3,5,9
What is the range of these data?
A. 2
B. 10
C. 12
D. 7
Transcript text: 4.3.2 Quiz: Errors in Experiments Question 7 of 10 A scientist recorded the number of geese found in a park on various days of the week. The data are shown below. $6,9,2,12,3,5,9$ What is the range of these data? A. 2 B. 10 C. 12 D. 7
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Solution

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Solution Steps

To find the range of a dataset, subtract the smallest value from the largest value. This will give the difference between the maximum and minimum values in the dataset.

Step 1: Identify the Data

The recorded number of geese in the park on various days is given by the dataset: \[ \{6, 9, 2, 12, 3, 5, 9\} \]

Step 2: Determine the Maximum and Minimum Values

From the dataset, we find:

  • Maximum value, \( \text{max} = 12 \)
  • Minimum value, \( \text{min} = 2 \)
Step 3: Calculate the Range

The range \( R \) is calculated using the formula: \[ R = \text{max} - \text{min} = 12 - 2 = 10 \]

Final Answer

The range of the data is \[ \boxed{10} \]

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