Will the median class and modal class of grouped data always be different? Justify your answer.
(N/A) No,the median class and the modal class of grouped data are not always different. They can be the same depending on the distribution of the data.
Justification:
$1$. The modal class is the class interval with the highest frequency.
$2$. The median class is the class interval where the cumulative frequency reaches $N/2$,where $N$ is the total number of observations.
$3$. In many frequency distributions,the class with the highest frequency often contains the middle observation. For example,in a symmetric distribution,the mean,median,and mode often coincide,and the median class and modal class frequently overlap or are identical.
Justification:
$1$. The modal class is the class interval with the highest frequency.
$2$. The median class is the class interval where the cumulative frequency reaches $N/2$,where $N$ is the total number of observations.
$3$. In many frequency distributions,the class with the highest frequency often contains the middle observation. For example,in a symmetric distribution,the mean,median,and mode often coincide,and the median class and modal class frequently overlap or are identical.
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