Measures Of Central Tendency
NIOS · Class 10 · Maths
Summary of Measures Of Central Tendency for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Measures of central tendency are single values that describe a dataset by showing its central position. The three main measures are mean, median, and mode. Mean gives the average value, median gives the middle value after arranging data in order, and mode gives the most frequent value. These measure
Key Concepts
Mean
Mean, also called arithmetic average or arithmetic mean, is found by dividing the sum of all observations by the total number of observations. For raw
Median is the middle observation after
Median is the middle observation after the data is arranged in ascending or descending order. If n is odd, the median is the ((n + 1) / 2)th observati
Mode is the observation that occurs
Mode is the observation that occurs most frequently, or the value with maximum frequency. If all values occur equally often, there is no mode. If two
Class mark is the midpoint
Class mark is the midpoint of a class interval. It is calculated by the formula x_i = (Lower class limit + Upper class limit) / 2.
An assumed mean a is chosen
An assumed mean a is chosen to simplify calculations. Deviations are found by d_i = x_i - a, and the mean is calculated by x̄ = a + (Σfi di) / N.
Learning Objectives
- Understand the meaning of mean, median, and mode
- Learn formulas for finding mean in different types of data
- Find median for odd and even numbers of observations
- Find mode from raw data and frequency tables
- Use class marks for grouped data
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