Find the mean of the following data.

X_{i - 11 12 13 14 15 16 17 18}

_{Fi - 10 1 3 4 8 10 3 1}

_{All of Fi are corresponding to Xi}

Open in App

Solution

Mean = sum of (xiFi) /sum of Fi
Sum of Fi=10+1+3+4+8+10+3+1
=40
Xi Fi =(1110)+(121)+(133)+(144)+(158)+(1610)+(173)+(181)
=110+12+39+56+120+160+51+18
=566
Mean =566/40
=14.15

Suggest Corrections

Similar questions

Q. If

x_{i}

's are the mid points of the class intervals of grouped data,

f_{1}

's are the corresponding frequencies and

¯ x

is the mean, then

\sum (f_{i} x_{i} - ¯ x)

is equal to

Q. The mean of following distribution is

$x_{i}$	$10$	$12$	$15$	$25$
$f_{i}$	$2$	$3$	$7$	$8$

Q. Find the mean deviation about the median for the following data :

$x_{i}$	3	6	9	12	13	15	21	22
$f_{i}$	3	4	5	2	4	5	4	3

Q. Find the missing value of P for the following distribution whose mean is

12.58

$x_{i}$	5	8	10	12	P	20	25
$f_{i}$	2	5	8	22	7	4	2

If $x_{i}$ are the mid-points of the class intervals of grouped data, $f_{i}$ are the corresponding frequencies and $¯ x$ is the mean, then $\sum f_{i} (x_{i} - ¯ x)$ is equal to ____.

Join BYJU'S Learning Program

Find the mean of the following data. Xi - 11 12 13 14 15 16 17 18 Fi - 10 1 3 4 8 10 3 1 All of Fi are corresponding to Xi

Mean = sum of (xi*Fi) /sum of Fi Sum of Fi=10+1+3+4+8+10+3+1 =40 ​​​​​​Xi* Fi =(11*10)+(12*1)+(13*3)+(14*4)+(15*8)+(16*10)+(17*3)+(18*1) =110+12+39+56+120+160+51+18 =566 Mean =566/40 =14.15

Find the mean of the following data.

X_{i - 11 12 13 14 15 16 17 18}

_{Fi - 10 1 3 4 8 10 3 1}

_{All of Fi are corresponding to Xi}

Mean = sum of (xiFi) /sum of Fi
Sum of Fi=10+1+3+4+8+10+3+1
=40
Xi Fi =(1110)+(121)+(133)+(144)+(158)+(1610)+(173)+(181)
=110+12+39+56+120+160+51+18
=566
Mean =566/40
=14.15