contestada

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
ques #1: What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?

ques #2: For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?

Respuesta :

Answer:

The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least.  For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.

Step-by-step explanation:

The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.

The mean is the average of a group of data. The data set  added up and divided by the number of data. The mean is sensitive to extreme data.

When 7 is changes to a 70 then mean and standard deviation both changes.

For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.

The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.

Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.

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