Statistics Class IX

The formula for calculating the mean of grouped data is $\bar{x} = \frac{\sum_{i=1}^{n} f_i x_i}{N}$, where $\bar{x}$ is the mean, $f_i$ is the frequency of each observation, $x_i$ is the value of each observation, and $N$ is the total number of observations.

Cumulative frequency in statistics refers to the running total of the frequencies. It is used to determine the number of observations that lie below a certain value in a data set. The cumulative frequency distribution is the tabulation of the cumulative frequencies against the upper class boundaries. It is useful for constructing ogives and analyzing the distribution of data.

The mean for observations with respective frequencies is calculated by summing the products of each observation and its frequency, and then dividing by the total number of observations. Mathematically, if $x_1, x_2, ..., x_n$ are observations with respective frequencies $f_1, f_2, ..., f_n$, then the mean is given by $\bar{x} = \frac{\sum_{i=1}^{n} f_i x_i}{\sum_{i=1}^{n} f_i}$.

<p>Measures of central tendency in statistics are numerical representatives of the central or 'typical' value of a dataset. The three common measures of central tendency are mean, median, and mode. They provide insight into the center of the distribution and are used to summarize the data.</p> Signup and view all the answers

<p>Ogives, or cumulative frequency curves, are directly related to the cumulative frequency distribution. They are graphical representations of the cumulative frequency distribution and are useful for visualizing the pattern and distribution of the data. Ogives are constructed by plotting points corresponding to the upper class boundaries and their respective cumulative frequencies.</p> Signup and view all the answers

<p>T'áá a hoolyé yiłt'eesdo doo ats'ááł. Dóó niłt'eesdo t'áá a yishdla.</p> Signup and view all the answers

<p>Dóó niłt'eesdo t'áá a yishdla bee naadaałii yiłt'eesdo doo ats'ááł.</p> Signup and view all the answers

<p>T'áá a hoolyé yiłt'eesdo doo ats'ááł bee naadaałii. Dóó niłt'eesdo t'áá a yishdla bee naadaałii yiłt'eesdo.</p> Signup and view all the answers

<p>T'áá a hoolyé yiłt'eesdo doo ats'ááł bee naadaałii.</p> Signup and view all the answers

<p>Dóó niłt'eesdo t'áá a yishdla bee naadaałii.</p> Signup and view all the answers