Question

Calculate the median for the following statistical distribution: Value Less than 100 100-200 200 300 300 400 Frequency 50 90 158 68 400 and above 134 Total 500​

Answer 1

Answer:

answer

Step-by-step explanation:

Here n=400. ∴

2

n

=200

Class Frequency Cumulative frequency(c.f.)

0-100 64 64

100-200 62 64+62=126

200-300 84 126+84=210

300-400 72 210+72=282

400-500 66 282+66=348

500-600 52 348+52=400

Cumulative frequency greater than 200 is 210, corresponds to the class 200−300.

Class 200−300 is the median class

l=200,

2

n

=200,cf=126,f=84 and c=100

Substituting the values in

M=l+

f

(

2

n

−cf)

×c

=200+

84

200−126

×100

=200+

84

74×100

=200+88.10

=288.10

Answer 2

Step-by-step explanation:

Find the median of the following frequency distribution:Class0 - 100100 - 200200 - 300300 - 400400 - 500500 - 600Frequency 64 62 84 72 66 52