CAIIB · ABM

Measures of Central Tendency & Dispersion, Skewness, Kurtosis

Chapter notes, video classes, MCQ practice tests and quick-revision one-liners for Advanced Bank Management — CAIIB.

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Q

What is the arithmetic mean and why is it the most commonly used measure of central tendency in banking statistics?

A

The arithmetic mean is the sum of all values divided by the number of observations. It is widely used in banking for computing average loan sizes, average interest rates, and portfolio metrics because it accounts for every data point.

Q

What is the formula for calculating arithmetic mean of ungrouped data?

A

Sum of all values divided by number of observations

Q

How is the weighted arithmetic mean different from the simple arithmetic mean?

A

The weighted mean assigns different weights to each observation based on its relative importance, whereas the simple mean treats all values equally. In banking, it is used to compute the weighted average cost of funds where each liability carries a different weight.

Q

Which measure of central tendency is not affected by extreme values?

A

Median is not affected by extreme values

Q

What is the median and when is it preferred over the mean in banking analysis?

A

The median is the middle value in an ordered dataset. It is preferred over the mean when data is skewed, such as in income distribution or non-performing asset analysis, because it is not distorted by extreme outliers.

Q

What is the combined mean formula when two groups have different means and sizes?

A

Weighted sum of group means divided by total number of items

Q

Define mode in the context of banking statistics?

A

Mode is the value that appears most frequently in a dataset. In banking, it helps identify the most common loan tenure, most frequent transaction size, or the most popular deposit category chosen by customers.

Q

How is median located graphically in a frequency distribution?

A

From the ogive curve at the N/2 cumulative frequency point

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