Which of the following alternatives is true?

(i) The class mid-point is equal to

(a) The average of the upper class limit and the lower class limit

(b) The product of upper class limit and the lower class limit

(c) The ratio of the upper class limit and the lower class limit

(d) None of the above

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Solution

(a) The class mid-point is the middle value of a class. It lies halfway between the lower class limit and the upper class limit of a class and is calculated as

Class Mid-Point or Class Mark

= $\frac{(Upper Class Limit + Lower Class Limit)}{2}$

(ii) The frequency distribution of two variables is known as

(a) Univariate Distribution

(b) Bivariate Distribution

(c) Multivariate Distribution

(d) None of the above

(b) Bi means two and hence the frequency distribution of two variables is known as Bivariate Distribution.

(iii) Statistical calculation in classified data are based on

(a) the actual values of observations

(b) the upper class limits

(c) the lower class limits

(d) the class mid-point

(d) The class mid-points of each class is used to represent the class and therefore, it is used in further calculations after the raw data are grouped into classes.

(iv) Under exclusive method,

(a) the upper class limit of a class is excluded in the class interval

(b) the upper class limit of a class is included in the class interval

(c) the lower class limit of a class is excluded in the class interval

(d) the lower class limit of a class is included in the class interval

(a) Under the exclusive method we form classes in such a way that the lower limit of a class coincides with the upper class limit is excluded but the lower class limit of a class is included in the interval.

(v) Range is the

(a) difference between the largest and the smallest observations

(b) difference between the smallest and the largest observations

(c) average of the largest and the smallest observations

(d) ration of the largest to the smallest observation

(a) The variation in variable's value are captured by its range is the difference between the largest and the smallest values of the variable. A large range indicates that the values of the variable are widely spead.

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Similar questions

Q. Which of the following alternatives is true?

(i) The class midpoint is equal to:

(a) The average of the upper class limit and the lower class limit.

(b) The product of upper class limit and the lower class limit.

(d) None of the above.

(ii) The frequency distribution of two variables is known as

(a) Univariate Distribution

(b) Bivariate Distribution

(d) None of the above

(iii) Statistical calculations in classified data are based on

(a) the actual values of observations

(b) the upper class limits

(d) the class midpoints

(iv) Range is the

(a) difference between the largest and the smallest observations

(b) difference between the smallest and the largest observations

(d) ratio of the largest to the smallest observation

Q. Find the actual lower class limits, upper class limits and the mid-values of the classes :

9.5, 14.5, 19.5, 24.5, 29.5, 34.5 a n d 39.5, 44.5, 49.5

Fill in the blanks :
(i) Lower class limit of 15-18 is ___ .
(ii) Upper class limit of 24-30 is ___.
(iii) Upper limit of 5-12.5 is ___.
(iv) If the upper and the lower limits of a class interval are 16 and 10; the class interval is ___.
(v) If the lower and the upper limits of a class interval are 7.5 and 12.5; the class interval is ___.

Q. The difference between the upper class limit and lower class limit is called class .

Q. Average of Upper Limit (UL) of first class and Lower Limit (LL) of second class becomes the Upper Boundary (UB) of the first class and _____________.

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Which of the following alternatives is true? (i) The class mid-point is equal to (a) The average of the upper class limit and the lower class limit (b) The product of upper class limit and the lower class limit (c) The ratio of the upper class limit and the lower class limit (d) None of the above