The table given below gives the distribution of villages and their heights from the sea level in a certain region. Height (in meters) 200 600 1000 1400 1800 2200 No. of villages 142 265 560 271 89 16 Compute the mean height, using the step-deviation method.

Question

Philoid · Accepted Answer

Let the assumed Mean be A = 1400

= h = x₂ – x₁ = 600 – 200 = 400

Thus, we prepare the table as below:

Height (in meter)	No. of villages	=
200	142	-3	-426
600	265	-2	-530
1000	560	-1	-560
1400 = A	271	0	0
1800	89	1	89
2200	16	2	32
	= 1343		= -1395

We know that,

Mean =

=

Hence, The Mean height is 984.51.

Height (in meters)	200	600	1000	1400	1800	2200
No. of villages	142	265	560	271	89	16

The table given below gives the distribution of villages and their heights from the sea level in a certain region.Height (in meters)2006001000140018002200No. of villages1422655602718916Compute the mean height, using the step-deviation method.

The table given below gives the distribution of villages and their heights from the sea level in a certain region.

Height (in meters)

200

600

1000

1400

1800

2200

No. of villages

142

265

560

271

89

16

Compute the mean height, using the step-deviation method.