Age No of girls 18 - 23 x 23- 28 170 28- 33 y 33- 38 50 38- 43 38 - Maths - Statistics

Question

Age No of girls
18 - 23
x 23- 28 170 28- 33 y 33- 38 50 38- 43 38
43-48
48-53
10
2
the frequency distribution table shows the ages of 560 girls at
the time of their marriage in a city If mode of the age of the data
is 24 years, find missing frequency

Manbar Singh · Accepted Answer

class intervals
Frequency

18-23
x

23-28
170

28-33
y

33-38
50

38-43
38

43-48
10

48-53
2

∑ifi = 560⇒270+x+y = 560⇒x + y = 290   
1Now, mode = 24So, modal class = 23-28Frequency of modal class = f1 = 170frequency of class preceeding modal class = f0 = xfrequency of classsucceeding modal class = f2 = ylower limit of modal class, l = 23class size, h = 5Now, mode = l + f1-f02f1-f0-f2×h⇒24 = 23 + 170-x340-x-y×5⇒5170-x = 340-x-y⇒850-5x = 340-x-y⇒510 = 4x-y⇒4x-y = 510    
2Adding 1 and 2, we get5x = 800⇒x = 160Now, from 1, y = 130

class intervals	Frequency
18-23	x
23-28	170
28-33	y
33-38	50
38-43	38
43-48	10
48-53	2

Age No.of girls 18 - 23 x 23- 28 170 28- 33 y 33- 38 50 38- 43 38 43-48 48-53 10 2 the frequency distribution table shows the ages of 560 girls at the time of their marriage in a city. If mode of the age of the data is 24 years, find missing frequency.

Age No.of girls
18 - 23
x 23- 28 170 28- 33 y 33- 38 50 38- 43 38
43-48

48-53

10

2

the frequency distribution table shows the ages of 560 girls at the time of their marriage in a city. If mode of the age of the data is 24 years, find missing frequency.