1 Find the missing frequency f, if the mode of the given data is 154 Classes 120-130 130-140 140-150 - Maths - Statistics

Question

1 Find the missing frequency f, if the mode of the given data is
154
Classes
120-130
130-140
140-150
150-160
160-170
170-180
Frequency
2
8
12
f
9
7
plzz give an answer fast

Gursheen kaur. · Accepted Answer

Classes	120-130	130-140	140-150	150-160	160-170	170-180
Frequency	2	8	12	f	9	7

The mode for a continuos frequency distribution can be calculated using the formula,

$M o d e = l + \frac{f - f_{1}}{2 f - f_{1} - f_{2}} � h$

Here, l = Lower limit of the modal class

f = Frequency of the modal class

h = Width of the modal class

$f_{1}$ = Frequency of the class preceding the modal class

$f_{2}$ = Frequency of the class following the modal class

$154 = 140 + \frac{f - 12}{2 f - 12 - 9} * 10 154 - 140 = 10 (\frac{f - 12}{2 f - 21}) 14 = 10 (\frac{f - 12}{2 f - 21}) \frac{14}{10} = \frac{f - 12}{2 f - 21} 14 (2 f - 21) = 10 (f - 12) 28 f - 294 = 10 f - 120 28 f - 10 f = 294 - 120 18 f = 174 f = 9.66$

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1.Find the missing frequency f, if the mode of the given data is 154. Classes 120-130 130-140 140-150 150-160 160-170 170-180 Frequency 2 8 12 f 9 7 plzz give an answer fast....

1.Find the missing frequency f, if the mode of the given data is 154.

Classes

120-130

130-140

140-150

150-160

160-170

170-180

Frequency

2

8

12

f

9

7

plzz give an answer fast....