I. The mean and median are equal in symmetric distribution.
II. The range is the difference between the maximum value and the minimum value in the data.
III. The sum of the areas of the rectangles in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.
Which of the above statements are correct?
$$\Sigma$$x = 130, $$\Sigma$$y = 220, $$\Sigma$$x2 = 2288, $$\Sigma$$y2 = 5506 and $$\Sigma$$xy = 3467.
What is the line of regression of y on x?
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Which of the following statements is correct?
I. Class-intervals need not be mutually exclusive.
II. Class-intervals should be exhaustive
III. Class-intervals need not be of equal width
Which of the above statements are correct?
Age | Frequency |
---|---|
15-25 | 2 |
25-35 | 4 |
35-45 | 6 |
45-55 | 5 |
55-65 | 3 |
What is the mean age of this group of people?
1. The total area of the rectangles in a histogram is equal to the total area bounded by the corresponding frequency polygon and the X-axis.
2. When class intervals are unequal in a frequency distribution, the area of the rectangle is proportional to the frequency.
Which of the above statements is/are correct?
1. Coefficient of variation depends on the unit of measurement of the variable.
2. Range is a measure of dispersion.
3. Mean deviation is least when measured about median.
Which of the above statements are correct?
1. Variance is unaffected by change of origin and change of scale.
2. Coefficient of variance is independent of the unit of observations.
Which of the statements given above is/are correct?
Statement 1 : Range is not a good measure of dispersion.
Statement 2 : Range is highly affected by the existence of extreme values.
Which one of the following is correct in respect of the above statements?
1. Textual form
2. Tabular form
3. Graphical form
Select the correct answer using the code given below.
1. If 10 is added to each entry on a lists, then the average increases by 10.
2. If 10 is added to each entry on a list, then the standard deviation increases by 10.
3. If each entry on a list is doubled then the average doubles.
Which of the above statements are correct?
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The average of monthly wage and variance of distribution of wages of all the workers in the firms A and B taken together are
I. If the correlation coefficient rxy = 0, then the two lines of regression are parallel to each other.
II. If the correlation coefficient rxy = 1, then the two lines of regression are perpendicular to each other.
Which of the above statements is/are correct?
I. Mean is independent of change in scale and change in origin.
II. Variance is independent of change in scale but not in origin.
Which of the above statements is/are correct?
I. The sum of deviations from mean is always zero.
II. The sum of absolute deviations is minimum when taken around median.
Which of the above statements is/are correct?
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What is the value of median of the distribution ?
1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.
2. Arithmetic mean > Median > Mode for a symmetric distribution.
Which of the above statements is/are correct?
From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y = a + bx$, then what is the value of $2a + 15b$?
An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on oil by a family in every year during these years, what is the average price of oil in rupees (approximately) per litre?
What is the mean of the distribution?
What is the mean deviation of the largest five observations?
What is the variance of the largest five observations?
A die is thrown 10 times and obtained the following outputs :
1, 2, 1, 1, 2, 1, 4, 6, 5, 4
What will be the mode of data so obtained ?
Consider the following frequency distribution :
x | 1 | 2 | 3 | 5 |
f | 4 | 6 | 9 | 7 |
What is the value of median of the distribution ?
Let P be the median, Q be the mean and R be the mode of observations x1, x2, x3, .....xn. Let $S=\sum\limits_{i=1}^n\left(2 x_i-a\right)^2$ S takes minimum value, when a is equal to
Which one of the following subjects shows highest variability of marks ?
What is the coefficient of variation of marks in Mathematics ?
What is the median of the distribution ?
What is mean deviation about the median ?
What is the mean deviation about the mean ?
Consider the following statements:
1. The regression line of y on x is $\rm y = \frac{3}{4}x+2$
2. The regression line of x on y is $\rm x = \frac{3}{4}y+\frac{1}{4}$
Which of the above statements is/are correct?
Consider the following statements:
1. The coefficient of correlations r is $\rm \frac{3}{4}$.
2. The means of x and y are 3 and 4 respectively.
Which of the above statements is/are correct?
For the set of numbers x, x, x + 2, x + 3, x + 10 where x is a natural number, which of the following is/are correct?
1. Mean > Mode
2. Median > Mean
Select the correct answer using the code given below.
Consider the following measures of central tendency for a set of N numbers:
1. Arithmetic mean.
2. Geometric mean.
Which of the above uses/use all the data?
The following tables gives the frequency distribution of number of peas per pea pod of 198 pods:
Number of peas |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Frequency |
4 |
33 |
76 |
50 |
26 |
8 |
1 |
What is the median of this distribution?