STATISTICS - True/False

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Q 01 / 25
Statistics is a branch of mathematics that deals with the collection, organisation, analysis and interpretation of data.
Q 02 / 25
In Class X, statistics deals only with ungrouped (raw) data and does not consider grouped data.
Q 03 / 25
A frequency distribution table shows each observation together with the number of times it occurs.
Q 04 / 25
For continuous grouped data, class intervals in a frequency distribution must not overlap.
Q 05 / 25
The sum of the frequencies in a grouped frequency distribution is equal to the total number of observations.
Q 06 / 25
The mean of a set of observations is always one of the given observations.
Q 07 / 25
For grouped data, the mean can be calculated using the assumed mean method to simplify calculations.
Q 08 / 25
In a grouped frequency distribution, the mean is computed using the mid-point of each class interval.
Q 09 / 25
The median of a data set is the arithmetic average of all observations.
Q 10 / 25
For ungrouped data, if the number of observations is odd, the median is the \(\frac{n+1}{2}\)th observation in the ordered list.
Q 11 / 25
For grouped data, the median always coincides with the mid-point of the median class.
Q 12 / 25
To find the median of grouped data, the class whose cumulative frequency is just greater than \(\frac{n}{2}\) is taken as the median class.
Q 13 / 25
The mode of a data set is the value that occurs most frequently.
Q 14 / 25
In a grouped frequency distribution, the modal class is the class interval with the smallest class width.
Q 15 / 25
For grouped data, the mode can be estimated using a formula involving the frequencies of the modal class and its neighbouring classes.
Q 16 / 25
A data set can have more than one mode.
Q 17 / 25
In the context of this chapter, cumulative frequency is obtained by successively adding frequencies down the table.
Q 18 / 25
A “less than” cumulative frequency curve (ogive) is drawn by plotting upper class boundaries against their corresponding cumulative frequencies.
Q 19 / 25
The point of intersection of “less than” and “more than” ogives gives a graphical estimate of the mean.
Q 20 / 25
In many real-life distributions treated in this chapter, mean, median and mode need not have the same value.
Q 21 / 25
For grouped data in Class X, the relationship \(\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}\) may be used under certain conditions.
Q 22 / 25
When data are given in grouped form, the exact original observations can be uniquely recovered from the frequency distribution table.
Q 23 / 25
In a frequency distribution, if all observations have the same value, then mean, median and mode are equal.
Q 24 / 25
While drawing a histogram for continuous data, the area of each rectangle is proportional to the frequency of the corresponding class.
Q 25 / 25
For grouped data with equal class intervals, choosing different origins (assumed means) changes the actual value of the mean.
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