Math Problem Statement

Discuss the method of calculating the median for ungrouped data with an example. Calculate the arithmetic mean and median for the following ungrouped data: 3, 5, 8, 12, 15, 20, 2. Briefly describe the classification of data in statistics OR differentiate between discrete and continuous series with an example. Find the median from the following data: Weekly Wages (Rs) and the number of students are provided in a grouped table.

Solution

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Question 15:

  1. (a) Discuss the method of calculating the median for ungrouped data with an example. [5 Marks]
  2. (b) Calculate the arithmetic mean and median for the following ungrouped data:
    3,5,8,12,15,20,23, 5, 8, 12, 15, 20, 2. [5 Marks]
  3. (c) Briefly describe the classification of data in statistics. [5 Marks]
    OR
    Differentiate between discrete and continuous series with an example. [6 Marks]
  4. (e) Find the median from the following data:
    Weekly Wage (Rs)140-160160-180180-200200-220220-240240-260260-280
    No. of Students1220304035187
    [9 Marks]

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Math Problem Analysis

Mathematical Concepts

Statistics
Median Calculation
Arithmetic Mean
Data Classification
Discrete and Continuous Data

Formulas

Median for ungrouped data = Middle value when data is arranged in order (or average of two middle values)
Arithmetic mean = (Sum of data values) / (Number of data values)
Median for grouped data = L + [(N/2 - F)/f] × h

Theorems

Properties of central tendency

Suitable Grade Level

Grade 10-12

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