A group of students were asked how many siblings they have. Determine the median number of siblings using the frequency table.
To determine the median number of siblings using the frequency table, we need to first calculate the cumulative frequency.
For each value of the number of siblings, we multiply the number of students by the frequency. Then, we sum up these values to obtain the cumulative frequency.
Students' Number of Siblings | Frequency | Cumulative Frequency
1 | 4 | 4
2 | 8 | 12
3 | 6 | 18
4 | 3 | 21
5 | 2 | 23
6 | 1 | 24
The median value is the middle value when the data is arranged in ascending order. In this case, since we have 24 students, the median will be the 12th value.
From the cumulative frequency column, we can see that the 12th value falls in the "2 siblings" category. Therefore, the median number of siblings is 2.
To determine the median number of siblings using the frequency table, follow these steps:
Step 1: Identify the different values (number of siblings) listed in the frequency table.
Step 2: Calculate the cumulative frequency. This is the sum of the frequencies up to and including each value.
Step 3: Find the middle value. The middle value is the total number of students divided by 2, which represents the 50th percentile.
Step 4: Locate the value in the cumulative frequency column that is closest to or greater than the middle value.
Step 5: Determine the corresponding value in the number of siblings column. This is the median number of siblings.
By following these steps, you can find the median number of siblings using the frequency table.