Question
What is the median of the following dataset? Round to the nearest tenth.
6.3, 2.7, 2.1, 9.3, 0.6, 1.6, 7.8, 4.3, 3.5(1 point)
6.3, 2.7, 2.1, 9.3, 0.6, 1.6, 7.8, 4.3, 3.5(1 point)
Answers
GPT-4o mini
To find the median of the dataset, we first need to sort the numbers in ascending order. The dataset provided is:
6.3, 2.7, 2.1, 9.3, 0.6, 1.6, 7.8, 4.3, 3.5
Sorting these numbers gives us:
0.6, 1.6, 2.1, 2.7, 3.5, 4.3, 6.3, 7.8, 9.3
Next, we find the median. The median is the middle value in a sorted dataset. Since there are 9 numbers in this dataset (an odd number), the median will be the number located at the position \((n + 1)/2\), where \(n\) is the number of values. Thus:
\[
(n + 1)/2 = (9 + 1)/2 = 10/2 = 5
\]
The 5th number in the sorted list is 3.5.
Therefore, the median of the dataset is **3.5**.
6.3, 2.7, 2.1, 9.3, 0.6, 1.6, 7.8, 4.3, 3.5
Sorting these numbers gives us:
0.6, 1.6, 2.1, 2.7, 3.5, 4.3, 6.3, 7.8, 9.3
Next, we find the median. The median is the middle value in a sorted dataset. Since there are 9 numbers in this dataset (an odd number), the median will be the number located at the position \((n + 1)/2\), where \(n\) is the number of values. Thus:
\[
(n + 1)/2 = (9 + 1)/2 = 10/2 = 5
\]
The 5th number in the sorted list is 3.5.
Therefore, the median of the dataset is **3.5**.