Applied Statistics - Summary | 12th Business Maths and Statistics : Chapter 9 : Applied Statistics

Chapter: 12th Business Maths and Statistics : Chapter 9 : Applied Statistics

Summary

In this chapter(Applied Statistics) we have acquired the knowledge of

Summary

 

In this chapter we have acquired the knowledge of

 

Method of Moving Averages

Three year moving averages: 

Four year moving averages: 

 

Method of Least Squares

The straight line equation, Y = a + bX

Two Normal Equations, ΣY = n a + b ΣX ; ΣXY = a ΣX + b ΣX2

 

Methods of measuring Seasonal Variations-Method of Simple Averages:

Seasonal Index (S.I) = Seasonal Average/ Grand average  X100

 

If the data is given in months

S.I for Jan = Monthly Average ( for Jan)/ Grand average  x 100

 

If the data is given in quarter

S.I for Kth Quarter = Average of Kth quarter/Grand average X  100

 

Continuous distribution function

If X is a continuous random variable with the probability density function f X (x), then the function FX (x) is defined by

 

Weighted Index Number

Price Index (P01), Laspeyre’s price index number, Paasche’s price index number, Fisher’s price index number


 

Time Reversal Test : 


 

Cost of Living Index Number

Aggregate Expenditure Method = 

Family Budget Method = ∑ PV / ∑ V

 

Causes of Variation

1. Chance Causes (or) Random causes 2. Assignable Causes

 

Control Charts

(i) Centre Line (CL) indicates the desired standard level of the process.

(ii) Upper Control Limit (UCL) indicates the upper limit of tolerance.

(iii) Lower Control Limit (LCL) indicates the lower limit of tolerance.

(i) Centre Line (CL) indicates the desired standard level of the process.

(ii) Upper Control Limit (UCL) indicates the upper limit of tolerance.

(iii) Lower Control Limit (LCL) indicates the lower limit of tolerance.

The control limits for  chart in two different cases are


The control limits for R chart in two different cases are



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12th Business Maths and Statistics : Chapter 9 : Applied Statistics


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