Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it . Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it .
For ungrouped data.
For ungrouped data, the graph for a random variable (rv), X, is usually a line graph whose horizontal axis is the values that the random variable can take, and whose vertical axis is the number of observations (or outcomes) of the random variable that are less than or equal to that value of the rv. For grouped data the graph is usually a corresponding bar graph.
The minimum and maximum values for grouped data can differ from those of raw data because grouped data summarizes ranges of values rather than individual observations. In grouping, the actual minimum and maximum values may fall within a range, leading to a representation that does not capture the true extremes of the raw data. Additionally, if the grouping intervals are not small enough, they may miss outliers or extreme values that exist in the raw dataset. Thus, the aggregated nature of grouped data can obscure the precise minimum and maximum values present in the raw data.
When data is grouped and each of the intervals or categories has the same relative frequency, then no mode can be calculated. This can happen when the dataset is very limited. If all numbers in a dataset are the same, then it is impossible to calculate a mode, no matter how the data is grouped. Sometimes the level of variation is so much less than our measurement capability that we can not detect variations in variables.
To determine if one measure describes the data better than another, you should consider the context and the specific characteristics of the data. For example, if the data is skewed, the median might provide a better central tendency measure than the mean. Additionally, examining measures of variability, such as standard deviation versus interquartile range, can also influence which measure better represents the data's distribution. Ultimately, the choice depends on the data's nature and the specific insights you're seeking.
A box and whiskers plot, A frequency plot (ungrouped) A cumulative frequency plot (ungrouped), A grouped frequency of cu freq plot should give a number close to (and larger than) the greatest value.
For ungrouped data.
For ungrouped data, the graph for a random variable (rv), X, is usually a line graph whose horizontal axis is the values that the random variable can take, and whose vertical axis is the number of observations (or outcomes) of the random variable that are less than or equal to that value of the rv. For grouped data the graph is usually a corresponding bar graph.
The main need to work with grouped data was to reduce the number of data points that need to be stored and processed in calculation. With modern computers the storage and computation are not likely to be issues in many situations and so there is no need to use grouped data.
Are computers better data processors than humans
The minimum and maximum values for grouped data can differ from those of raw data because grouped data summarizes ranges of values rather than individual observations. In grouping, the actual minimum and maximum values may fall within a range, leading to a representation that does not capture the true extremes of the raw data. Additionally, if the grouping intervals are not small enough, they may miss outliers or extreme values that exist in the raw dataset. Thus, the aggregated nature of grouped data can obscure the precise minimum and maximum values present in the raw data.
Specific data gives you more information and is more reliable.
its more data
It is better than keeping unreliable data!
Rather than have frequencies of observations allocated to each observed value, grouped data allocates them to a range (or group) of values.
When data is grouped and each of the intervals or categories has the same relative frequency, then no mode can be calculated. This can happen when the dataset is very limited. If all numbers in a dataset are the same, then it is impossible to calculate a mode, no matter how the data is grouped. Sometimes the level of variation is so much less than our measurement capability that we can not detect variations in variables.
to analysis the theory perfectly and give concerned answers