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
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.
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.
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
median
median
mean
mean
mode
mode
None. All the measures will stay the same.
The median and the mean will change when a value is added to the datasets.
To find out the impact of deleting the data value 18 on the mean of the dataset (19, 18, 22, 19, 18, 22, 17, 20, 18), we need to calculate the mean of the original dataset and then recalculate it after deleting the data value.
Step 1: Calculate the mean of the original dataset:
Mean = (19 + 18 + 22 + 19 + 18 + 22 + 17 + 20 + 18) / 9 = 173 / 9 = 19.2222 (rounded to four decimal places)
Step 2: Delete the data value 18 from the dataset.
New dataset = (19, 22, 19, 22, 17, 20)
Step 3: Calculate the mean of the new dataset:
Mean = (19 + 22 + 19 + 22 + 17 + 20) / 6 = 119 / 6 = 19.8333 (rounded to four decimal places)
The impact of deleting the data value 18 is that the mean of the dataset changes from 19.2222 to 19.8333 (rounded to the nearest tenth).
Therefore, the correct response is:
The mean of the original dataset is 19.2, and deleting the data value 18 results in a mean of 19.8.