Prepare 'less than' and 'more than' cumulative frequency distributions of the following date:

Wages (₹) : 140-150 150-160 160-170 170-180 180-190 190-200

No. of workers : 5 10 20 9 6 2

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Solution

Less than Cumulative Frequency Distribution

Marks Number of Students

Less than 150
Less than 160
Less than 170
Less than 180
Less than 190
Less than 200 5
5 + 10 = 15
15 + 20=35
35 + 9 = 44
44 + 6 = 50
50 + 2 = 52

More than Cumulative Frequency Distribution

Marks Number of Students

More than 140
More than 150
More than 160
More than 170
More than 180
More than 190 52
52 − 5 = 47
47 − 10 = 37
37 − 20 = 17
17 − 90 = 8
8 − 6 = 2

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Similar questions

f_{1}

f_{2}

166 \frac{9}{26}

52

C.I	140-150	150-160	160-170	170-180	180-190	190-200	Total
Freq.	5	$f_{1}$	20	$f_{2}$	$6$	$2$	$52$

\begin{matrix} D a i l y i n c o m e (i n R s) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f w o r k e r s & 12 & 14 & 8 & 6 & 10 \end{matrix}

Seif study time daily in minutes	30 - 60	60 - 90	90 - 120	120 - 150	150 - 180	180 - 210
Number of students	5	16	38	96	48	17

Which of the given less than cumulative frequency curve (ogive) correctly represents the following distribution?

$\begin{matrix} Height & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 Number of students & 7 & 9 & 12 & 10 & 4 \end{matrix}$

Wages (in Rs)	110-130	130-150	150-170	170-190	190-210	210-230	230-250
No. of workers	3	4	5	6	5	4	3

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Wages (₹)	:	140-150	150-160	160-170	170-180	180-190	190-200
No. of workers	:	5	10	20	9	6	2

Marks	Number of Students
Less than 150 Less than 160 Less than 170 Less than 180 Less than 190 Less than 200	5 5 + 10 = 15 15 + 20=35 35 + 9 = 44 44 + 6 = 50 50 + 2 = 52

Marks	Number of Students
More than 140 More than 150 More than 160 More than 170 More than 180 More than 190	52 52 − 5 = 47 47 − 10 = 37 37 − 20 = 17 17 − 90 = 8 8 − 6 = 2