If two regression lines between height (x) and weight(y) are 4y - 15x + 410 = 0 and 30x - 2y - 825 = 0,then what will be the correlation coefficient between height and weight ?

• $\frac{1}{3}$

• $\frac{1}{2}$

• $\frac{2}{3}$

• $\frac{3}{4}$

In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class ?

• $40°$

• $90°$

• $144°$

• $320°$

For given statistical data, the graphs for less than ogive and more than ogive are drawn. If the point at which the two curves intersect is P, then abscissa of point P gives the value of which one of the following measures of central tendency ?

• Median

• Mean

• Mode

• Geometric mean

If the regression coefficient of x on y and y on x are  $- \frac{1}{2} \mathrm{and} - \frac{1}{8}$ respectively, then what is the correlation coefficient between x and y ?

• $- \frac{1}{4}$

• $- \frac{1}{16}$

• $\frac{1}{16}$

• $\frac{1}{4}$

Consider the following statements :

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 ?

• Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1

• Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation of Statement 1

• Statement 1 is correct but Statement 2 is not correct

• Statement 2 is correct but Statement 1 is, not correct

If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct ?

• 2 x Standard deviation = 5 x Mean deviation

• 5 x Standard deviation = 2 x Mean deviation

• 4 x Standard deviation = 5 x Mean deviation

• 5 x Standard deviation = 4 x Mean deviation

Data can be represented in which of the following forms ?

1. Textual form
2. Tabular form
3. Graphical form

Select the correct answer using the codes given below.

• 1 and 2 only

• 2 and 3 only

• 1 and 3 only

• 1, 2 and 3

28.

The mean and the standard deviation of a binomial distributions are. 12 and 2 respectively. What is the number of trials ?

• 2

• 12

• 18

• 24

A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrecly as 40 instead of 35. If we correct the data, then which one of the following is correct ?

• The mean and the median remain the same

• The median remains the same but the mean will decrease 

• Both the mean and the median will decrease

• The mean remains the same but the median willdecreas

Consider the following statements : 

1. Coefficient of variation depends on the unit ofmeasurement 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 and 2 only

• 2 and 3 only

• 1 and 3 only

• 1, 2 and 3