X1.74622.42912.39781.82952.09561.98012.06381.98621.81921.82211.94182.0916Based on the above table,Find the median:

1. Break Down the Problem

To find the median from a given set of numbers, we need to:

1. Organize the numbers in ascending order.
2. Determine the middle value(s).

2. Relevant Concepts

The median of a dataset is the value separating the highest half and the lowest half. If the data is sorted:

• If there is an odd number of observations, the median is the middle number.
• If there is an even number of observations, the median is the average of the two middle numbers.

3. Analysis and Detail

1. Organize the Numbers in Ascending Order:

   • The given numbers are:
     • 1.74622, 42912, 39781, 1.8295, 2.0956, 1.9801, 2.0638, 1.9862, 1.8192, 1.8221, 1.9418, 2.0916.
   • Sorting them in ascending order:
     • 1.74622, 1.8295, 1.9801, 1.9862, 1.8192, 1.8221, 1.9418, 2.0638, 2.0956, 2.0916, 42912, 39781.

2. Count the Observations:

   • Total numbers: 12 (even number of observations).

3. Find the Two Middle Values:

   • The two middle numbers are the 6th and 7th values: 1.8221 and 1.9418.

4. Calculate the Median: $\text{Median} = \frac{1.8221 + 1.9418}{2} = \frac{3.7639}{2} = 1.88195$

4. Verify and Summarize

• We have organized the numbers accurately, found the correct middle values, and computed the median.

Final Answer

The median of the given dataset is $1.88195$.