The values of mean, median and mode coincide, then the distribution is
The values of mean, median and mode coincide, then the distribution is
The correct option is B Symmetric distribution
Explanation for correct option:
Mean: The phrases "average" and "mean" are merely two different names for the same attribute of a data collection. The arithmetic mean is another name for it. Out of the three central tendencies, the mean or average is advantageous to property and one of the calculations that is most significant, simple, and used. When the entire number of values in the collection of data is divided by the total number of values, the mean is essentially the sum of all the values.
Median: As the name suggests, the median is nothing but the middle – or “mid” – of all the values presented in the data set. This shows what the middle of the data is
Mode: It is is described as the value that appears the most frequently in a data set. The mode occurs when the data's frequencies keep repeating. Most averages are often removed using this method.
Some of the metrics for central tendency include mean, median, and mode. These three distinct characteristics of data sets can provide us with useful, simple-to-understand details about a data set, enabling us to view the broad picture and comprehend what the data says about the environment in which we live.
It is known that in symmetric distribution, one half of the curve is the mirror image of the other half.
In symmetric distribution the frequencies are evenly distributed. So the pull is same on both side.
As one side balances the other, so mean, median, mode fall exactly on the same side.
Therefore mean, mode and median coincide, then it is a symmetric distribution
Hence, option (B) is the correct option.
Symmetric distribution
Explanation for correct option:
Mean: The phrases "average" and "mean" are merely two different names for the same attribute of a data collection. The arithmetic mean is another name for it. Out of the three central tendencies, the mean or average is advantageous to property and one of the calculations that is most significant, simple, and used. When the entire number of values in the collection of data is divided by the total number of values, the mean is essentially the sum of all the values.
Median: As the name suggests, the median is nothing but the middle – or “mid” – of all the values presented in the data set. This shows what the middle of the data is
Mode: It is is described as the value that appears the most frequently in a data set. The mode occurs when the data's frequencies keep repeating. Most averages are often removed using this method.
Some of the metrics for central tendency include mean, median, and mode. These three distinct characteristics of data sets can provide us with useful, simple-to-understand details about a data set, enabling us to view the broad picture and comprehend what the data says about the environment in which we live.
It is known that in symmetric distribution, one half of the curve is the mirror image of the other half.
In symmetric distribution the frequencies are evenly distributed. So the pull is same on both side.
As one side balances the other, so mean, median, mode fall exactly on the same side.
Therefore mean, mode and median coincide, then it is a symmetric distribution
Hence, option (B) is the correct option.
