Statistics Practical

Abdullah Al Mahmud

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Practical Format

  • Name of the Experiment
  • Problem
  • Solution (after page-break)

Solution part

  • Theory/Methodology
  • Equipment/Tools
  • Calculation/Estimation/Computation
  • Construction (if any)
  • Interpretation/Explanation
  • Precaution

First Paper

Finding Averages

Determination of Arithmetic Mean, Combined Arithmetic Mean, Geometric Mean, and Harmonic from Grouped and Ungrouped Data

Construction of Histogram and Ogive

Name: Do

Problem: Annual profits (BDT hundred thousands) made by 115 firms are given below:

Profit (BDT) 25-30 30-35 35-40 40-45 45-50 50-55 55-60
No. of Firms 5 16 26 30 20 12 6
  • Make a histogram and Ogive from the following data and explain.

Theory

Continuous class intervals are used for constructing histogram. Discrete class intervals are converted in the following way:

Discrete Continuous
11-15 10.5-15.5
16-20 15.5-20.5

Others

  • Equipments
  • Estimation (table for Ogive - cumulative frequency)

Interpretation (Histogram)

  • Most firms earned —
  • Few firms earned –
  • Highest profits are earned by —
  • Lowest firms are earned by —
  • Average profits are —
  • Pattern of frequency

Interpretation (Ogive)

  • 16 firms earned 35,00,000 or less
  • Few more like this

Partition Values from Ogive

Name: Determination of Quartiles, Deciles, and Percentiles Using Ogive

Problem: Temperatures (in °C) of 100 cities around the world are given below:

Temperature 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40
Frequency 8 11 13 20 23 12 8 5

Draw an Ogive and determine the Quartlies, 7th Decile, 35th Percentiles from the data and explain.

Moments

Determination of First Four Moments from Data

Skewness-Kutosis

Determination of Skewness and Kurtosis and Their Types

Box-plot

Construction of Box and Whisker Plot and Five Number Summary and Analyses of Their Characteristics

Time Series

Determination of General Trend of Time Series and Prediction

Practice Problems

Freq Distr

Waiting times before a passenger can get a CNG auto-rickshaw from an intersection are given below.

r set.seed(10) sample(40:60, 15)