MCQOPTIONS

Explore topic-wise MCQs in Statistical Quality Control.

This section includes 15 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 discrete distribution?
A.	\( \int_{-\infty}^{\infty} xf(x)dx\)
B.	\( \sum_{i=1}^{\infty} x_i p(x_i)\)
C.	\( \sum_{i=1}^{\infty} (x-\mu)^2 p(x_i)\)
D.	\( \int_{-\infty}^{\infty} (x-\mu)^2 f(x)dx\)
Answer» C. \( \sum_{i=1}^{\infty} (x-\mu)^2 p(x_i)\)

2.	Frequency of a bin in the histogram must be higher than 0.
A.	True
B.	False
Answer» C.

3.	Cumulative frequency plot is defined as ____________
A.	height of each bar less than or equal to upper limit of bin
B.	height of each bar more than or equal to upper limit of bin
C.	height of each bar less than or equal to lower limit of bin
D.	height of each bar more than or equal to upper limit of bin
Answer» B. height of each bar more than or equal to upper limit of bin

4.	Relative frequency is defined as ____________
A.	difference of frequency of an observation from the highest one
B.	frequency of an observation
C.	highest known frequency among all frequencies of the data
D.	frequencies of each bin divided by the number of observations (n)
Answer» E.

5.	The histogram has the same meaning as the box plot, i.e. there are two names of same thing.
A.	True
B.	False
Answer» C.

6.	For a set of data having 100 observations, how many bins must be created for satisfactory results of histogram?
A.	25
B.	10
C.	28
D.	4
Answer» C. 28

7.	Which of these is not the name of the intervals created for the construction of the histogram?
A.	Class intervals
B.	Cells
C.	Bins
D.	Boxes
Answer» E.

8.	Which of these, does not take time order of observations into account?
A.	Time series plot
B.	Run chart
C.	Marginal plot
D.	Stem-and-leaf plot
Answer» E.

9.	In stem-and-leaf plot, the measure of variability is _____________
A.	IQR
B.	Mean
C.	Median
D.	Third quartile
Answer» B. Mean

10.	IQR is defined as ____________
A.	difference between fourth and first quartile
B.	difference between fourth and third quartile
C.	difference between third and first quartile
D.	difference between second and first quartile
Answer» D. difference between second and first quartile

11.	For even number of observations of a data distribution, what is the median?
A.	[(n-1)/2 + 1] rank on the ascending order of observations
B.	(n/2) rank on the ascending order of observations
C.	Average of (n/2)th observation and (n/2 + 1)th observation
D.	Average of [(n+1) / 2] and (n/2) rank on the ascending order of observations
Answer» D. Average of [(n+1) / 2] and (n/2) rank on the ascending order of observations

12.	The median for an odd number of observations is _________ where n is the number of observations.
A.	[(n-1)/2 + 1] rank on the ascending order of observations
B.	[(n+1)/2 + 1] rank on the ascending order of observations
C.	Average of [(n+1) / 2] and (n/2) rank on the ascending order of observations
D.	(n/2) rank on the ascending order of observations
Answer» B. [(n+1)/2 + 1] rank on the ascending order of observations

13.	Which of these shows the ordered Stem-and-Leaf Plot?
A.	Stems arranged by magnitude
B.	Stems not arranged by magnitude
C.	Stems and the leaves, both arranged by magnitude
D.	Neither stems nor leaves are arranged by magnitude
Answer» D. Neither stems nor leaves are arranged by magnitude

14.	Descriptive statistics is used _____
A.	To develop information regarding the product sample using the measured data
B.	To measure the data for a sample
C.	To draw conclusions about the population
D.	To control the variation
Answer» B. To measure the data for a sample

15.	Which of these is not a tool to describe variation in product units?
A.	The box plot
B.	The histogram
C.	Stem-and-Leaf plot
D.	Acceptance Sampling
Answer» E.