Math question help about measure of central tendency?

Question

I dont get how to figuare out measure of central tendency, can someone like show an example and tell me how to do it?

like heres an example:

The weight, in pounds, of 6 small dogs is: 16, 20, 17, 16, 17, 16. A somewhat overweight dog joins them. The new dog weighs 28 pounds. Which measure of central tendency is not affected by placing this new dog into the group?



Mean
MEdian
Mode
None of the above

Answer 1

(Central Tendencies are averages. Ways to describe the data as a whole.)



To find the mean, add the weights and divide by 6

Then include the new dog, add and divide by 7



Median is the number in the middle. Be sure to put your numbers in ascending order. If there are 2 numbers in the middle, then add those 2 and divide by 2

So find the median of the first 6.

Include the new dog.

Find the median (middle number) of the 7 and compare.



Mode, number that is most frequent.



Hope this helps.

Answer 2

Generally, if all the numbers in the set are close together, then any central tendency is a fine and reasonable explanation of that set.



However, if one number skews that set too far low or too far high, then some central tendencies lose reasonableness (like mean).



In your sample, the 6 dogs are all between 16 - 20 pounds. So, all the central tendencies have merit, even the mode of 16. While the mode is lowest possible of the numbers, it is still close to the middle of the six numbers because they weren't spaced far apart to begin with.



When you introduce 28 as a 7th number, it skews the central tendencies upwards, since 28 is vastly different than then next biggest number of 20. This forces the mean (average) to be forced a good bit higher.



To answer your sample question, the mode will not change. It remains at 16, since it is still the number that showed up the most often. It isn't really a good central tendency anymore (my personal judgement) since it is now alot less than the mean of the set of numbers.



Hope this helps.

Answer 3

Susan covered Mean, Median, and Mode, but not Central Tendency (CT). It asks which CT is not affected by the new dog. Mean is the average. The average will change when you add a new number that is different from any other. Median is the middle number. Adding an new number makes the middle number a different number. Mode is the most frequent number. In this case, it is 16. The number 28 does not affect the number 16 in the mode at all. So the answer is Mode.

Answer 4

The mean and median will both get skewed upward with the fat new dog in the mix, but the mode is the most common observation, which remains at 16 (which is observed 3 times.)

Answer 5

ok actually its telling you that james grade so far is 338/4 hundred and we could say his mum and dad could be happy with a 80 two% as his grade. So he needs how intense of he grade he needs to get on his attempt 80 two& is comparable to 80 two/one hundred and that they desire you to establish a ratio to x/500 500 being complete factors obtainable 5tests situations one hundred factors each and each diverse 80 two by potential of 500 you get 41000 divide by potential of one hundred you get 410 that's what number complete factors he needs subtract this from the unique factors (338) and you get a 72%. i admire you too =)