Theory of Intelligence
11TH•Computer Science•Data Analytics•Question 5

Solution

Discuss the concept of measure of tendency with example.

Solution

Measures of central tendency identify the "center" or typical value in a dataset. The three main measures are mean, median, and mode.

Mean is the average: add the numbers and divide by how many there are.

Mean=50+60+70+80+905=70\text{Mean} = \frac{50 + 60 + 70 + 80 + 90}{5} = 70

Median is the middle value when the numbers are in order. For an odd count, it is the exact middle (7070 in 50,60,70,80,9050, 60, 70, 80, 90). For an even count, it is the average of the two middle numbers:

Median=(60+70)2=65\text{Median} = \frac{(60 + 70)}{2} = 65

Mode is the number that appears most often. If scores are 50,60,70,70,9050, 60, 70, 70, 90, the mode is 7070. If 6060 and 7070 both appear twice, there are two modes: 6060 and 7070.

These measures describe the typical score. Spread around that center is described separately by variance and standard deviation.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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