MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of these give an expression for the mean of a continuous distribution? |
| A. | ( int_{- infty}^{ infty} xf(x)dx ) |
| B. | ( sum_{i=1}^{ infty} x_i p(x_i) ) |
| C. | ( sum_{i=1}^{ infty} (x- mu)^2 f(x)dx ) |
| D. | ( int_{- infty}^{ infty} (x- mu)^2 p(x_i) ) |
| Answer» B. ( sum_{i=1}^{ infty} x_i p(x_i) ) | |
| 2. |
Which of these expressions is correctly describing a continuous distribution? |
| A. | P(x=x<sub>i</sub>)=1-P(x x<sub>i</sub>) |
| B. | P{a x b} = ( int_a^b f(x)dx ) |
| C. | P{x=x<sub>i</sub>}=p(x<sub>i</sub>) |
| D. | P(x=x<sub>i</sub>) 1-p(x x<sub>i</sub>) |
| Answer» C. P{x=x<sub>i</sub>}=p(x<sub>i</sub>) | |
| 3. |
Which of these statements give exact definition of a random variable? |
| A. | A random value from the set of integers |
| B. | A random value from the set of natural numbers |
| C. | A random value from the set of whole numbers which can take many values |
| D. | A variable which takes on different values in population according to some random mechanism |
| Answer» E. | |
| 4. |
Probability distribution relates the value of a variable to ____ |
| A. | Its frequency |
| B. | Its probability of occurrence |
| C. | Random variable |
| D. | Probability of occurrence of values other than that |
| Answer» C. Random variable | |
| 5. |
Line at the either end of the box plot shows the _____ |
| A. | Extreme values |
| B. | First quartile |
| C. | Third quartile |
| D. | Median |
| Answer» B. First quartile | |
| 6. |
The standard deviation of the data is expressed by _____ |
| A. | (s = left { frac{ sum_{i=1}^n (x_i overline{x})^2}{n} right }^{1/2} ) |
| B. | (s = left { frac{ sum_{i=1}^n (x_i overline{x})^2}{n-1} right }^{1/2} ) |
| C. | (s = frac{ sum_{i=1}^n (x_i overline{x})^2}{n-1} ) |
| D. | (s = frac{ sum_{i=1}^n (x_i overline{x})^2}{n} ) |
| Answer» C. (s = frac{ sum_{i=1}^n (x_i overline{x})^2}{n-1} ) | |
| 7. |
Which of the expression/inequality is always true? |
| A. | ( overline{x} = s ) |
| B. | sample standard deviation = ( sqrt{Sample ,Variance} ) |
| C. | sample standard deviation > sample variance |
| D. | ( overline{x} = s^2 ) |
| Answer» C. sample standard deviation > sample variance | |
| 8. |
The sample mean/average of the data is expressed by _____ |
| A. | ( sum_0^n x_i div n ) |
| B. | ( sum_0^{n-1} x_i div (n-1) ) |
| C. | ( sum_1^{n-1} x_i div (n-1) ) |
| D. | ( sum_{i=1}^n x_i div n ) |
| Answer» E. | |
| 9. |
The most important measure of central tendency in a sample is _____ |
| A. | Sample Average |
| B. | Sample variance |
| C. | Frequency of highest observation |
| D. | Frequency of lowest observation |
| Answer» B. Sample variance | |