You visited us 1 times! Enjoying our articles? Unlock Full Access!

General Solution of Trigonometric Equation

If the arithm...

Question

If the arithmetic mean of the following data is $7$ , then $a + b$ =
$x_{i}$ 4 6 7 9
$f_{i}$ $a$ 4 $b$ 5

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

cannot be determined

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C cannot be determined
We have,
mean $= \frac{4 a + 24 + 7 b + 45}{a + 4 + b + 5} = 7$ (given)
$\Rightarrow 4 a + 7 b + 69 = 7 a + 7 b + 63 \Rightarrow a = 2$
Hence we have one equation and 2 unknown, thus there will be infinite solution.

Suggest Corrections

Similar questions

25

k

$x_{i}$ :	$5$	$15$	$25$	$35$	$45$
$f_{i}$ :	$3$	$k$	$3$	$6$	$2$

8.2

a

$x_{i}$ :	1	3	5	9	11	13
$f_{i}$ :	3	2	7	a	4	8

2.6

$x_{i}$	$1$	$2$	$3$	$4$	$5$
$f_{i}$	$5$	$4$	$f$	$2$	$3$

5

b

$x_{i}$ :	3	5	7	4
$f_{i}$ :	2	$a$	5	$b$

σ

f_{i}

x_{i}

σ

f_{i}

Join BYJU'S Learning Program