In a survey of 950 families in a village, the following distribution of number of children was obtained. Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Number of families 272 328 205 120 15 10 find the mean

Question

In a survey of 950 families in a village, the following distribution of number of children was obtained. Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Number of families 272 328 205 120 15 10 find the mean (A) 3.545 (B) 3.543 (C) 3.443 (D) 3.343

Tardigrade Admin · Accepted Answer

Construct the following table taking 5 as the assumed mean, i.e., a = 5. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/3c23d3cc110ea476968e109281b1c538-.png" /> ∴ Mean = a +( Sigma fiyi/ Sigma fi) × h = 5+((-692/950)×2) = 3.543

Q. In a survey of $950$ families in a village, the following distribution of number of children was obtained.

Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12

Number of families 272 328 205 120 15 10

find the mean

$3.545$

$3.543$

$3.443$

$3.343$

Construct the following table taking $5$ as the assumed mean, i.e., $a = 5$ .

$∴$ Mean $= a + \frac{Σ f _{i} y _{i}}{Σ f _{i}} \times h$
$= 5 + (\frac{- 692}{950} \times 2)$
$= 3.543$

Number of children	0 -2	2 - 4	4 - 6	6 - 8	8 - 10	10 - 12
Number of families	272	328	205	120	15	10

Q. In a survey of 950 families in a village, the following distribution of number of children was obtained. Number of children 0 -2 2 - 4 4 - 6 6 - 8 8 - 10 10 - 12 Number of families 272 328 205 120 15 10 find the mean

3.545

3.543

3.443

3.343