The following is the distribution of weights (in $kg$) of $40$ persons:
Weight (in $kg$) $40-45$ $45-50$ $50-55$ $55-60$ $60-65$ $65-70$ $70-75$ $75-80$ Number of persons $4$ $4$ $13$ $5$ $6$ $5$ $2$ $1$
Construct a cumulative frequency distribution (of the less than type) table for the data above.
| Weight (in $kg$) | $40-45$ | $45-50$ | $50-55$ | $55-60$ | $60-65$ | $65-70$ | $70-75$ | $75-80$ |
| Number of persons | $4$ | $4$ | $13$ | $5$ | $6$ | $5$ | $2$ | $1$ |
Construct a cumulative frequency distribution (of the less than type) table for the data above.
(N/A) To construct a cumulative frequency distribution (less than type),we add the frequencies of all classes preceding the upper limit of the current class.
| Weight (in $kg$) | Cumulative Frequency |
| Less than $45$ | $4$ |
| Less than $50$ | $4 + 4 = 8$ |
| Less than $55$ | $8 + 13 = 21$ |
| Less than $60$ | $21 + 5 = 26$ |
| Less than $65$ | $26 + 6 = 32$ |
| Less than $70$ | $32 + 5 = 37$ |
| Less than $75$ | $37 + 2 = 39$ |
| Less than $80$ | $39 + 1 = 40$ |
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The mean of the following frequency distribution is $18$. Find the missing frequency $f$.
Class $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$ Frequency $3$ $6$ $9$ $13$ $f$ $5$ $4$
| Class | $11-13$ | $13-15$ | $15-17$ | $17-19$ | $19-21$ | $21-23$ | $23-25$ |
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