The runs scored by 11 players on cricket team are 45, 38, 62, 70, 7, 13, 0, 120, 41, 52, 50 then the median is

1. Break Down the Problem

To find the median score from the runs scored by the 11 players, we need to:

• Organize the data in ascending order.
• Determine the median position using the formula for the median in a sorted list.

2. Relevant Concepts

The median of a dataset is the middle number when the numbers are arranged in order:

• If there is an odd number of observations, the median is the middle number.
• The formula for finding the position of the median in a sorted list is given by $\frac{n + 1}{2}$, where $n$ is the number of observations.

3. Analysis and Detail

1. Organize the Data: The runs scored by the players are: $45, 38, 62, 70, 7, 13, 0, 120, 41, 52, 50$

   Sorting this in ascending order gives: $0, 7, 13, 38, 41, 45, 50, 52, 62, 70, 120$

2. Calculate the Median Position: There are 11 players, hence: $\text{Median Position} = \frac{11 + 1}{2} = 6$ This tells us that the median is the 6th value in the sorted list.

3. Identify the Median: From the sorted list: $0, 7, 13, 38, 41, \textbf{45}, 50, 52, 62, 70, 120$ The 6th value is $45$.

4. Verify and Summarize

The sorted list has been confirmed, and the position for the median (6th position) aligns with our calculations.

Final Answer

The median runs scored by the cricket team is $45$.