Question

find the median for the following data
x-5 10 15 20 25 30
f-3 5 7 9 4 2​

Answer 1

Answer:Given distribution

Class-interval                0−5         5−10         10−15           15−20         20−25          25−30

Frequency                   5                3               9             10             8                   5

Now we can prepare a table for calculating median

Class-interval        Frequency               Cumulative frequency

0−5                               5                      5

5−10                             3                      5+3=8

10−15                           9                      8+9=17(c.l)

15−20                          10                    17+10=27

20−25                           8                      27+8=35

25−30                           5                      35+5=40

N=40

⇒N/2=40/2=20

the

Step-by-step explanation:

Answer 2

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Statistics

Median of Grouped Data

Find the median for the fol...

STATISTICS

Find the median for the following frequency distribution table :

Class- interval 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30

frequency 5 3 9 10 8 5

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ANSWER

Given distribution

Class-interval 0−5 5−10 10−15 15−20 20−25 25−30

Frequency 5 3 9 10 8 5

Now we can prepare a table for calculating median

Class-interval Frequency Cumulative frequency

0−5 5 5

5−10 3 5+3=8

10−15 9 8+9=17(c.l)

15−20 10 17+10=27

20−25 8 27+8=35

25−30 5 35+5=40

N=40

⇒N/2=40/2=20

then the median class;

15−20

Lowest limit(l)=15

Class width(h)=5

Frequency(f)=10

and c.f= preceding cumulative frequency of median class

=median

=l+(

f

N/2−c.f

)×h

=15+(

10

20−17

)×15

=15+

10

3×5

=15+

10

15

Median=15+1.5=16.5.