State True or False: The average of n numbers is x̄. If the sum of first (n−1) numbers is K, then nth number is (n−1) x̄ + K.
WBBSE
Class X
Mathematics
Statistics
01 Mark
2024
False
Explanation:
Average of n numbers = x̄
⇒ Total sum of n numbers = n × x̄.
Sum of first (n−1) numbers = K.
Therefore, nth number = (Total sum) − (Sum of first (n−1)).
= (n × x̄) − K.
Related Questions
More WBBSE Easy level questions
1/12
Q.
If A and M be the arithmetic mean and median of first ten natural numbers,...
A.
(d) A = M Explanation: 10 Natural Number = 1, 2, 3,...
Q.
Find the mean by any suitable method from the following frequency distribution table
A.
Class Interval mid-point (x) Frequency (f) fx 85 - 105 95 3...
Q.
The mean of a frequency distribution is 7 and Σfx = 140, then find the...
A.
Mean = Σfx / Σf ⇒ 7 = 140 / Σf ⇒...
Q.
State True or False: Mode = 2 × Median – 3 × Mean.
A.
False Explanation: The correct empirical relation is: Mode = 3 × Median...
Q.
x is the mean of (p + q) numbe₹ If y be the mean of...
Q.
State True or False: The Mode of the data 5, 2, 4, 3, 5, 2,...
A.
False Explanation the mode is 2 as well as 5
Q.
The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13 and 16...
A.
11 Explanation 7, 8, 9, 10, 11, 11, 13, 15, 16 Here...
Q.
Three values of a variable are 4, 5 and 7, if their frequencies are p...
A.
(d) 4 Explanation Mean = or, 5.4 = or, 5.4 = or,...
Q.
The age of 100 persons present in a workshop is given in the following table....
A.
Age Group Number of People (f) Midpoint (x) fx 10 - 20...
Q.
Construct the table of cumulative frequency (greater than type) and draw the ogive from the...
A.
Class Cummulative Frequency Greater than 0 100 Greater than 10 93 Greater...
Q.
If 6, 8, 10, 12, 13, x are in increasing order and their mean and...
A.
Numbers in ascending order are 6, 8, 10, 12, 13, x Mean...
Q.
Find the median of the data from the following distribution
A.
Class int Class boundary frequency (f) CF 0 - 9 0 -...