The problem requires identifying statistical terms based on their descriptions. (a) Data that is used for the specific purpose for which it is collected. (b) A chart consisting of a set of vertical bars with no gaps in between them. (c) Data that can only be approximated. (d) The numerical difference between the lower and upper class boundaries. (e) A statistical measure that describes the extent of non-symmetry of a distribution. (f) A measure of dispersion that can also be defined as the root of the mean deviations from the common mean. (g) Data that is measured precisely. (h) The number of times a score appears in a list of data values. (i) The value in a data set which lies exactly half way along the set, when the data is sorted by magnitude. (j) The difference between the lower and upper quartiles of an ogive.

1. Problem Description

The problem requires identifying statistical terms based on their descriptions.

(a) Data that is used for the specific purpose for which it is collected.

(b) A chart consisting of a set of vertical bars with no gaps in between them.

(c) Data that can only be approximated.

(d) The numerical difference between the lower and upper class boundaries.

(e) A statistical measure that describes the extent of non-symmetry of a distribution.

(f) A measure of dispersion that can also be defined as the root of the mean deviations from the common mean.

(g) Data that is measured precisely.

(h) The number of times a score appears in a list of data values.

(i) The value in a data set which lies exactly half way along the set, when the data is sorted by magnitude.

(j) The difference between the lower and upper quartiles of an ogive.

2. Solution Steps

(a) Data that is used for a specific purpose is called primary data.

(b) A chart with vertical bars and no gaps is a bar chart or a histogram.

(c) Data that can only be approximated is discrete data. Approximated data can also refer to grouped data where precise values are not known.

(d) The difference between the upper and lower class boundaries is the class width or class size.

(e) A measure of non-symmetry of a distribution is called skewness.

(f) The root of the mean squared deviations from the mean is the standard deviation.

The formula for standard deviation ($\sigma$) is:

$\sigma = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \mu)^2}{n}}$

where $x_i$ is each data point, $\mu$ is the mean, and $n$ is the number of data points.

(g) Data that is measured precisely is continuous data.

(h) The number of times a score appears is the frequency.

(i) The value halfway along the set is the median.

(j) The difference between the upper and lower quartiles is called the interquartile range.

3. Final Answer

(a) Primary data

(b) Bar chart or Histogram

(c) Discrete data or Grouped data

(d) Class width or Class size

(e) Skewness

(f) Standard deviation

(g) Continuous data

(h) Frequency

(i) Median

(j) Interquartile range