Graphical descriptive techniques II

9 important questions on Graphical descriptive techniques II

What are the methods of central location?

1. Arithmetic mean/normal mean
2. Median
3. Mode
4. Geometric mean

When is it best to use which measure of central location?

Usually mean, but with extreme values median. Mode seldom.

What is Chebbysheff's theorem?

A way to calculate the probability for histograms that aren't bell shaped. You can use it to calculate the proportion of observations that lie within at least k times the standard deviation of the mean. 1-(1/k^2) with k > 1
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What is the coefficient of variation?

Shows the ratio of the standard deviation to the mean. standard deviation/mean. Can be used to compare the degree of variance between 2 sets of data. The higher the coefficient, the higher the variation

What are the measures of non-central location?

Measures that determine the position of particular values within a data set. This position is expressed in percentiles. The P-th percentile of a set of measurements is the value for which P percent of the measurements are less than that value. Lp = (n+1)x(p/100)

What 5 points are shown in a boxplot?

1. Minimum observation
2. Maximum observation
3. Q1
4. Q2
5. Q3

How do you calculate the variance of grouped data?

Sigma^2 = (sum(midpoint class-mean)^2 * frequency)/sum frequency

How do you call data measured on the same variable at different points of time?

Time-series data

How do you call a chart obtained by plotting the points representing the frequency of a category, above the point on the horizontal axis representing that category then joining the points?

Line chart

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