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 F_{X} (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

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

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

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