Observe the impact inserting the data value 4 has on the median of the dataset.
(5,3,5,3,5,5,2,5,5,2,3)
(1 point)
Responses
The original median is 5. Inserting the value changes the median to 4.5.
The original median is 5. Inserting the value changes the median to 4.5.
The original median is 4.5. Inserting the value changes the median to 5.
The original median is 4.5. Inserting the value changes the median to 5.
The original median is 5. Inserting the value changes the median to 4.
The original median is 5. Inserting the value changes the median to 4.
There is no change in the median.
There is no change in the median.
The original median is 5. Inserting the value changes the median to 4.5.
The original dataset is: (5,3,5,3,5,5,2,5,5,2,3).
To observe the impact of inserting the data value 4 on the median, we need to first find the current median.
1. Arrange the dataset in ascending order: (2,2,3,3,3,5,5,5,5,5).
2. Find the middle value(s) in the dataset. In this case, there are two middle values: 3 and 5.
3. Calculate the average of the two middle values to find the median. The average of 3 and 5 is 4.
Now, let's insert the data value 4 into the dataset and see how it affects the median.
1. With the dataset: (2,2,3,3,3,4,5,5,5,5,5).
2. Arrange the dataset in ascending order: (2,2,3,3,3,4,5,5,5,5,5).
3. Find the middle value(s) in the dataset. In this case, there are two middle values: 4 and 5.
4. Calculate the average of the two middle values to find the new median. The average of 4 and 5 is 4.5.
Therefore, inserting the value 4 changes the median from 5 to 4.5.