The runs scored in a cricket match by 7 players is as follows:
7, 15, 5, 16, 21, 25, 3
Find the median of this data.

Question

BlackTom AI · Accepted Answer

To find the median, start by organizing the data in ascending order so that the central value can be identified accurately.
Original data: 7, 15, 5, 16, 21, 25, 3.
Sorting gives: 3, 5, 7, 15, 16, 21, 25.
Since there are 7 observations (an odd number), the median is the middle observation, i.e., the 4th value in the ordered list.
Now evaluate each option:
Option A: 7. In the ordered list (3, 5, 7, 15, 16, 21, 25), the 4th value is 15, not 7, so this is not the median.
Option B: 16. This value is the 5th entry in the ordered list, not the middle; thus it cannot be the median for an odd-sized dataset of seven numbers.
Option C: 5. This is the 2nd entry in the ordered list, far from the middle position; therefore it does not represent the median.
Option D: 15. This is the 4th entry in the ordered list, which is exactly the middle value for seven numbers, fulfilling the definition of the median.
In summary, after ordering the data, the middle value aligns with the option that corresponds to the 4th position, which is 15, validating its role as the median.

The runs scored in a cricket match by 7 players is as follows: 7, 15, 5, 16, 21, 25, 3 Find the median of this data.

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