Question

WILL GIVE BRAINLIEST, 15 points-The daily number of patients visiting a dentist's office during one week are 8, 41, 35, 39, 36, and 42.
Which statement is true?




The mean, median, and mode are all appropriate measures of center.

Both the mean and median are appropriate measures of center.

The median is the only appropriate measure of center.

Both the median and mode are appropriate measures of center.

Answer 1

Answer: The median is the only appropriate measure of center.

Step-by-step explanation:

The statement is ''Both the median and mode are appropriate measures of center''. Actually, the three, that is, the mean, media and mode can be used to measure the central of tendency. But the MEAN has a problem, it can be Skewed by large values in the distribution/data. Assuming, the days of the week when patients visiting a dentist's office are;

Monday: 8, Tuesday: 41, Wednesday: 35, Thursday: 39, Friday: 36, and Saturday: 42.

And the mean of the distribution = 33.5. Most patients visit the dentist Tuesday to Saturday, where Saturday is the highest. The data is skewed. So, the MEDIAN will do the job perfectly.

For the mode; since we do not have; (1). two highest mode with the same value in the data provided and, (2). the highest value and the second to the highest values are not too far from each other. We can use the MODE here for measuring the central tendency.

===> CONCLUSION: (1). Assuming the data fails the two condition for mode, the most correct statement will be ''The median is the only appropriate measure of center".

===> (2). Also, for this data, the MEDIAN will be the only appropriate measure of center.

Answer 2

We know that
Mean and median both try to measure the central tendency in a data set.The mean is commonly used, but sometimes the median is preferred.
Mode is the element which occurs the most times in the set

therefore
the answer is the option 
Both the mean and median are appropriate measures of center.