Question

For which data sets is the median a better measure of center than the mean?

Choose all answers that are correct.



A.


Daily revenue at the ice cream shop last week was $1075, $2350, $2400, $2475, $2500, $2560, and $2600.


B.


Jayden scored 20, 22, 24, 26, and 27 points in each of his last 5 basketball games.


C.


Ria counted stars each night and the numbers were 45, 47, 49, 52, and 94.


D.


Elm Realty sold houses valued at $170,000; $179,500; $185,000; $191,200; and $199,200.

Answer 1

@ganeshie8

Answer 2

@MDoodler

Answer 3

@sleepyjess

Answer 4

Hello, just seen this. You should always use the medain when you have outliers. What are outliers you ask? Outliers are when data is way off from the other data. For instance take this set of numbers

1 2 3 4 5 6

This set is good and we would use the means to find the center(average) Lets look at another set

1 2 3 4 5 6 55

We would use the median to find the center(average) for this one because we have an outlier. 55 is what statisticians call an outlier. It as a some data that can throw off the data and making the data worthless if the outlier was used when using the mean to find the center(average). The median is more accurate with this type of set. For instance, lets find the Central Tendency by using the mean and median.

Mean:
1 2 3 4 5 6 55 = \(\frac{ 1+2+3+4+5+6+55}{7} = 28.85\)
By using the means and since we have an outlier(55), this is telling us the Central Tendency(Center / average) is 28.85. Do you think this is the center? No, the outlier skews the data.

Now lets use the Median
1 2 3 4 5 6 55

Now since our set has counts to an odd number, all we have to do with this set is pick out the middle number, which is 4. If we counted up to an even number in our set, we would had to take the two middle numbers and add them and divide by 2 in order to get our center, but we did not have to do that for this set.

Using the Median, our center is 4.

The means gave us 28.85 for the center
The median gave us 4.

4 is a lot more accurate than 28.85. Never use the means where you have outliers that can skew your data like we seen here.

So what answer would you chose knowing what you know now?

Answer 5

what is the answer

Answer 6

What is the answer? Did you not read what I posted? The answer is the one that has an outlier in the data set.

What do you think it is?

Answer 7

What is the answer? Did you not read what I posted? The answer is the one that has an outlier in the data set. Remember an outlier is a piece of data that is way off from the other data. For instance, {1,2,3,4,5} <----- this set has numbers that is close to one another so we would not use the median. If we had this set {1, 2, 3, 4, 5, 456} we would use the median because it has a huge outlier, which is 456. The number 456 is know where close to the other numbers in the set.

What do you think the answer is?