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
There is no change in the median.
There is no change in the median.
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.
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.
What impact does deleting the data value 5 have on the mode of the dataset (5,3,5,3,5,2,5,2,3,2)?(1 point)
Responses
The mode of the original dataset is 3. It did not change with the deletion of the data value.
The mode of the original dataset is 3. It did not change with the deletion of the data value.
The mode of the original dataset is 5. The mode of the second dataset is 2.
The mode of the original dataset is 5. The mode of the second dataset is 2.
The mode of the original dataset is 5. It did not change with the deletion of the data value.
The mode of the original dataset is 5. It did not change with the deletion of the data value.
The mode of the original dataset is 5. The modes of the second dataset are 2, 3, and 5.
The mode of the original dataset is 5. It did not change with the deletion of the data value.
What impact does deleting the data value 18 have on the mean of the dataset (19,18,22,19,18,22,17,20,18)? Round your answer to the nearest tenth.(1 point)
Responses
The mean of the original dataset is 18 and did not change with the deletion of the data value.
The mean of the original dataset is 18 and did not change with the deletion of the data value.
Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 19.4.
Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 19.4.
Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 17.3.
Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 17.3.
The mean of the original dataset is 19 and did not change with the deletion of the data value.
The mean of the original dataset is 19 and did not change with the deletion of the data value.
Which measures of center will change when a value is added to the datasets?
Dataset 1: (9,10,12,22,21,20,12,9,10,22,21,12,12,9,10)
Dataset 2: (9,10,12,22,21,20,12,9,10,22,21,12,12,9,10,12)
(1 point)
Responses
mean
mean
mode
mode
None. All the measures will stay the same.
None. All the measures will stay the same.
median
mean
Which measures of center change when a value is deleted from these datasets?
Dataset 1: (0,1,0,1,3,2,0,1,0,1,0,2)
Dataset 2: (0,1,1,3,2,0,1,0,1,0,2)
(1 point)
Responses
Both the mean and median change.
Both the mean and median change.
Only the mean changes.
Only the mean changes.
Only the median changes.
Only the median changes.
Both the mode and mean change.
Only the mean changes.
To determine the impact of inserting the data value 4 on the median of the dataset, follow these steps:
1. Start by understanding the given dataset: (5,3,5,3,5,5,2,5,5,2,3).
2. Calculate the original median of the dataset:
- Arrange the data in ascending order: (2,2,3,3,3,5,5,5,5,5).
- Since there are 10 data points, the median will be the average of the two middle values: (3+5)/2 = 4.
3. Now, insert the data value 4 into the dataset: (5,3,5,3,5,5,2,5,5,2,3,4).
4. Calculate the new median of the updated dataset:
- Arrange the data in ascending order: (2,2,3,3,3,4,5,5,5,5,5).
- Since there are 11 data points, the median will be the middle value, which is 4 in this case.
Therefore, the correct response is: "The original median is 4. Inserting the value changes the median to 4."