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Presentation of data — Statistics STD 11 Commerce — Question

Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsPresentation of data4 Marks
Question
Obtain ‘less than’ type and ‘more than’ type cumulative frequency distribution from the following frequency distribution :
Class $25-29$ $30-34$ $35-39$ $40-44$ $45-49$ $50-54$ $55-59$ $Total$
Frequency $3$ $8$ $10$ $5$ $15$ $8$ $1$ $50$
✓

Answer

Class Frequency $f$ ‘Less than’ type cumulative frequency distribution ‘More than’ type cumulative frequency distribution
Less than upper boundary point Cumulative frequency $cf$ More than or equal to lower boundary point Cumulative frequency
$cf$
$25 -29$ $3$ $24.5$ $0 =0$ $24.5$ $50-0 =50$
$30 -34$ $8$ $29.5$ $0+3 =3$ $29.5$ $50 -3 =47$
$35 -39$ $10$ $34.5$ $3+8 =11$ $34.5$ $47 -8 = 39$
$40 -44$ $5$ $39.5$ $11 +10 = 21$ $39.5$ $39 -10 = 29$
$45-49$ $15$ $44.5$ $21+5 = 26$ $44.5$ $29-5 = 24$
$50 -54$ $8$ $49.5$ $26 + 15 = 41$ $49.5$ $24 -15 = 9$
$55 -59$ $1$ $54.5$ $41 +8 = 49$ $54.5$ $9-8 = 1$
$-$ $-$ $59.5$ $49 +1 = 50$ $59.5$ $0$
Total $n =50$ $-$ $-$ $-$ $-$

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