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— is used in quality control
(a) Mean
(b) Median
(c) Range
(d) Quartiles
Range is used in quality control
Range is used in quality control
See lessShort cut method for calculating arithmatic mean also known as
a. assumed average method
b. Assumed variable method
c. Assumed mean method
d. All of these
Assumed mean method
Assumed mean method
See lessFisher’s formula satisfies —- test
(a) Unit test
(b) Time reversal Test
(c) factor Reversal test
(d) All
Fisher’s formula satisfies Unit test
Fisher’s formula satisfies Unit test
See lessWhat is the relation between mean, mode, median.
A distribution in which the values of mean, median and mode coincide (i.e. mean = median = mode) is known as a symmetrical distribution. Conversely, when values of mean, median and mode are not equal the distribution is known as asymmetrical or skewed distribution. In moderately skewed or asymmetricRead more
A distribution in which the values of mean, median and mode coincide (i.e. mean = median = mode) is known as a symmetrical distribution. Conversely, when values of mean, median and mode are not equal the distribution is known as asymmetrical or skewed distribution. In moderately skewed or asymmetrical distribution a very important relationship exists among these three measures of central tendency. In such distributions the distance between the mean and median is about one-third of the distance between the mean and mode, as will be clear from the diagrams 1 and 2. Karl Pearson expressed this relationship as:
Mode = mean – 3 [mean – median]
Mode = 3 median – 2 mean
and Median = mode + 2/3 [mean – mode]
See lessThe mean of 5, 7, 6, 11, x and 13 is 44. Find the value of the observation x.
1. 1
2. 222
3. 264
4. 6
Correct Answer - Option 2 : 222Concept:Mean: It is the sum of all observations upon a number of observations.If x1, x2, x3, …., xn are the observations, then mean is given as\(\rm \bar{X} = \frac{sum\ of\ observations}{number\ of\ observations}\)\(\rm \bar{X}= \frac{x_{1}+x_{2}+...+x_{n}}{n}\)CalculRead more
Correct Answer – Option 2 : 222
Concept:
Mean: It is the sum of all observations upon a number of observations.
If x1, x2, x3, …., xn are the observations, then mean is given as
\(\rm \bar{X} = \frac{sum\ of\ observations}{number\ of\ observations}\)
\(\rm \bar{X}= \frac{x_{1}+x_{2}+…+x_{n}}{n}\)
Calculation:
We have X̅ = 44 and observations 5, 7, 6, 11, x, 13.
So, mean \(\bar{X} = \frac{5+7+6+11+x+13}{6}\)
⇒ 44 × 6 = 42 + x
⇒ x = 222
See lessWhen the distribution is of open end classes which average may appropriate
(a) Mean
(b) Median
(c) Mode
(d) None
When the distribution is of open end classes Median may appropriate
When the distribution is of open end classes Median may appropriate
See lessWhich divides the value of a variable into two equal parts?
(a) Median
(b) Mean
(c) Mode
(d) All these
Median divides the value of a variable into two equal parts.
Median divides the value of a variable into two equal parts.
See lessIn Laspear’s Index number —- year quantities are used
(a) Base
(b) Current
(c) Average
(d) None
In Laspear’s Index number Base year quantities are used
In Laspear’s Index number Base year quantities are used
See lessMoments are used to find a measure of
(a) Central tendency
(b) Dispersion
(c) Skewness
(d) All these
(d) All of these
(d) All of these
See lessWhich of the following measures of variability is used when the statistics having the greatest stability is sought?
1. Mean Deviation
2. Standard Deviation
3. Quartile Deviation
4. Range
Correct Answer - Option 2 : Standard DeviationDispersion is the extent to which values in a distribution differ from the average of the distribution. To quantify the extent of the variation, there are certain measures namely:Measures of Dispersion From Average:The mean deviation (MD) of a series isRead more
Correct Answer – Option 2 : Standard Deviation
Dispersion is the extent to which values in a distribution differ from the average of the distribution. To quantify the extent of the variation, there are certain measures namely:
For example, consider the number 3, 4, 6, 9, 11, 12, 14, 15.
Q1 is the middle value in the first half of the data set.
The middle value is the average of the two middle values; that is, Q1 = \(4+6\over 2\) = 5.
Q3 is the middle value in the second half of the data set.
i. e. Q3 = \(12+14\over 2\) = 13
Semi Quartile Range = \(Q3 – Q1\over 2\) = \(13 – 5 \over 2\) = 4
See less