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Find the median of the data 56, 67, 54, ...

Find the median of the data 56, 67, 54, 34, 78, 43, 23.

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To find the median of the given data set: 56, 67, 54, 34, 78, 43, 23, we will follow these steps: ### Step 1: Count the Number of Observations First, we need to count how many numbers are in the data set. **Data Set:** 56, 67, 54, 34, 78, 43, 23 - Count: 1, 2, 3, 4, 5, 6, 7 (Total = 7 observations) ### Step 2: Arrange the Data in Ascending Order Next, we will arrange the data in ascending order (from smallest to largest). **Ascending Order:** - The smallest value is 23. - Next is 34. - Then 43. - Followed by 54. - Next is 56. - Then 67. - Finally, the largest is 78. So, the arranged data is: 23, 34, 43, 54, 56, 67, 78. ### Step 3: Determine if the Number of Observations is Odd or Even Since we have 7 observations (which is odd), we will use the formula for finding the median for an odd number of observations. ### Step 4: Use the Median Formula The formula for finding the median when the number of observations (n) is odd is: \[ \text{Median} = \frac{n + 1}{2} \] Here, \( n = 7 \): \[ \text{Median Position} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \] ### Step 5: Find the 4th Observation Now, we will find the 4th observation in our arranged data set. **Arranged Data:** 23, 34, 43, 54, 56, 67, 78 - The 4th observation is 54. ### Conclusion Thus, the median of the given data set is **54**. ---
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