1. Calculate the value of LCL of a process if the value A 2 R = 3.3 , value of A 2 = 0 . 577, and X = 15.2

**Ans: 11.9**

2. In X-R Chart, the value of X=79.972 gms. No. of observations are 25, average moving range R=3.382, value of d2 = 1.128, What will be the value of standard deviation?

**Ans: 3**

3. Which type of graph is used in different type of control charts?

**Ans: Line Graph**

4. Who showed Dr. Juran that the salary of General Motor’s executives is in line with Pareto’s theory?

a) M. G. Lorenz

b) Vilfredo Pareto

c) K. Ishikawa

**d) Merk Hale**

5. Best decisions are likely to be arrived at by taking decisions based on:

a) Gut feeling

b) Past experience

c) Sixth sense

**d) Appropriate data**

6. Alex Osborn has given the technique of

a) Graph

b) Histogram

c) Stratification

**d) Brainstorming**

7. The difference between the highest and the lowest readings in a sample of observations is called

a) Average

b) Deviation

c) Standard deviation

**d) Range**

8. What is the formula for calculating UCL & LCL for X-R chart.

**Ans.: UCLx = X + A2R; LCLx = X – A2R**

9. In X-R Chart, for sub group of 5, what will be the value of UCLx if X = 35.5 gms, value of sigma is 1.5, and the value of A 2 = 0 . 577. Number of observations are 225.

**Ans: 40**

10. What will be the angle for representing Rs. 4000 as travelling expenses out of total expenditure of Rs. 80,000/- on a pie graph?

**Ans: 180**

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