The set of data for which the mean is most likely greater than the median is the data given by first histogram.
A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
This graph usually has mean < median < mode
A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:
Mode < median < mean.
For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.
For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.
So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.
We're given these histograms:
Age Frequency
0 - 1 years 1
2 - 3 years 4
4 - 5 years 2
6 - 7 years 0
8 - 9 years 1
Age Frequency
0 - 1 years 0
2 - 3 years 3
4 - 5 years 4
6 - 7 years 3
8 - 9 years 0
Age Frequency
0 - 1 years 0
2 - 3 years 1
4 - 5 years 2
6 - 7 years 4
8 - 9 years 1
Age Frequency
0 - 1 years 2
2 - 3 years 1
4 - 5 years 4
6 - 7 years 1
8 - 9 years 2
The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.
The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.
The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.
Thus, for this histogram, the median < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).
Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.
The graph of the first histogram is attached below.
Learn more about skewed distribution here:
https://brainly.com/question/13111221
#SPJ1
Answer:
A. The first graph
Step-by-step explanation:
Got it right on an edge test
Have a nice day :)
