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
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
Solution
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:
\[
R = \text{max} - \text{min} = 12 - 2 = 10
\]