The
mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which
one of the following
gives
possible values of a and b?
(1) `a""=""0,""b""=""7`
(2) `a""=""5,""b""=""2`
(3) `a""=""1,""b""=""6`
(4) `a""=""3,""b""=""4`
Text Solution
AI Generated Solution
To solve the problem, we need to find the values of \( a \) and \( b \) given that the mean of the numbers \( a, b, 8, 5, 10 \) is 6 and the variance is 6.80.
### Step 1: Calculate the Mean
The mean of the numbers is given by the formula:
\[
\text{Mean} = \frac{a + b + 8 + 5 + 10}{5}
\]
We know that the mean is 6, so we can set up the equation:
...
Topper's Solved these Questions
SEQUENCES AND SERIES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|10 Videos
STRAIGHT LINES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|6 Videos
Similar Questions
Explore conceptually related problems
The line passing through the points (5, 1, a) and (3, b, 1) crosses the yzplane at the point (0,(17)/2,(-13)/2) .Then (1) a""=""2,""b""=""8 (2) a""=""4,""b""=""6 (3) a""=""6,""b""=""4 (4) a""=""8,""b""=""2
The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is (a) 25 (b) 5 (c) 1.2 (d) 0
If set A={1,2,3,4,5} and set B={1,7,6,8} then which of the following is not true?
If the mean and the variance of the numbers a, b, 8, 5 and 10 are 6 and 6.8 respectively, then the value of a^(3)+b^(3) is equal to
The mean deviation of the numbers 3,4,5,6,7 from the mean is(a) 25 (b) 5 (c) 1.2 (d) 0
If A={1,2,3}, B={4,5,6},C={1,2,3,9,6} then which of the following is not ture?
The means of five observations is 4 and their variance is 5.2. If three of these observations are 1,2 and 6, then the other two are (a) 2 and 9 , (b) 3 and 8 , (c) 4 and 7 , (d) 5 and 6
Show that A B!=B A in the following case: A=[5-1 6 7] and B=[2 1 3 4]
If a : b = 3: 8 , find the value of (4a + 3b)/(6a-b) .
The number of values of b for which there is an isoscles triangle with sides of length b + 5,3b - 2 , and 6-b is:
JEE MAINS PREVIOUS YEAR ENGLISH-STATISTICS-All Questions
