Topics

The mean of 12 items is \( \Large  \bar{X} \) . If the first term is increased by 1, second by 2 and so on, then the new mean is


A) \( \Large \overline{X}+n \)

B) \( \Large \overline{X}+\frac{n}{2} \)

C) \( \Large \overline{X}+\frac{n+1}{2} \)

D) none of these

Correct Answer:
C) \( \Large \overline{X}+\frac{n+1}{2} \)


Part of solved Statistics questions and answers : >> Elementary Mathematics >> Statistics




Comments
No comments available




Similar Questions
1). If the mean of n observation \( \Large 1^{2},\ 2^{2},\ 3^{2},........n^{2} \), is \( \Large \frac{46}{11}n \), then n is equal to
A). 11
B). 12
C). 23
D). 22
-- View Answer
2). In a moderately skewed distribution the values of mean and median are 5 and 6 respectively. The value of mode in such a situation is approximately equal to:
A). 8
B). 11
C). 16
D). none of these
-- View Answer
3). The value of mean, median and mode coincides, then the distribution is
A). Positive skewness
B). Symmetrical distribution
C). Negative skewness
D). All of these
-- View Answer
4). The algebraic sum of the deviation of 20 observations measured from 30 is 2. Then mean of observations is
A). 28.5
B). 30.1
C). 30.5
D). 29.6
-- View Answer
5). The mean value of the median and mean of the add divisions of 360 is
A). 13
B). 7
C). 6
D). 10
-- View Answer


6). If the mean of n items is \( \Large \overline{x} \) and the sum of any \( \Large \left(n-1\right)\) number is R, then the value of left item is
A). \( \Large n+\overline{x} \)
B). \( \Large n\overline{x}-R \)
C). \( \Large \overline{x}+Rn \)
D). \( \Large n\overline{x}-nR \)
-- View Answer
7). In a class of 50 students, 10 have failed and their average marks are 28. The total marks obtained by the entire class on 2800. The average marks of those who have passed, are
A). 43
B). 53
C). 63
D). 70
-- View Answer
8). The mean of n observations is \( \Large \overline{x} \). If one observation \( \Large x_{n+1} \) is added, then the mean remains same. The value of \( \Large x_{n+1} \) is:
A). 0
B). 1
C). n
D). \( \Large \overline{x} \)
-- View Answer
9). In a class of 100 students, the average amount of pocket money is Rs.35 per student. If the average is Rs.25 for girls and Rs.50 for boys, then the number of girls in the class is
A). 20
B). 40
C). 60
D). 80
-- View Answer
10). The mean of the n observations \( \Large x_{1},\ x_{2},\ x_{3}.....,\ x_{n} \) be \( \Large \overline{x} \). Then, the mean of n observations \( \Large 2x_{1}+3,\ 2x_{2}+3,\ 2x_{3}+3,.......2x_{n}+3 \) is
A). \( \Large 3\overline{x}+2 \)
B). \( \Large 2\overline{x}+3 \)
C). \( \Large \overline{x}+3 \)
D). \( \Large 2\overline{x} \)
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us