Question

w long will
O U clear his loan?
il). An incomplete frequency distribution is given
as follows.
Class interval Frequency
10 - 20. 12
20 - 30. 30
30-40. ?
40-50. 65
50 - 60. ?
60-70. 25
70-80. 18
Total. 229
Given that median value is 46. determine the missing frequencies using the median formula ​

Answer 1

Step-by-step explanation:

let the frequencies be

30-40 : x &

50-60 : y

now ..total no. of observations =229

now; 12+30+x+65+y+25+18=229

x + y = 229-150

=79

y = 79 - x --------- (1) use this value in C.F

now taking cummulative frequencies ...we get

C.I. freq. C.F

10-20. 12. 12

20-30. 30. 42

30-40. x. 42+x

40-50. 65. 42+x+65= 107+ x

50-70. y. 107+ x+79- x= 186

60-70. 25. 211

70-80. 18. 229

1. median class:40-50 》 l = 40
2. n/2=229/2 = 114.5.

now using median formula

40+ [ 114.5 - ( 42 + x ) ] × 10 = 46

---------------------

65

》 ( 72.5 - x )10 = 6

------------

65

725 - 10x = 390

10x = 335

》 x = 33.5//

now ..... y = 79 - x

= 79- 33.5

》 y = 45.5 //