Construct the cumulative frequency distribution of the following distribution:
Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$ Frequency $2$ $22$ $19$ $14$ $13$
| Class | $12.5-17.5$ | $17.5-22.5$ | $22.5-27.5$ | $27.5-32.5$ | $32.5-37.5$ |
| Frequency | $2$ | $22$ | $19$ | $14$ | $13$ |
(N/A) To construct the cumulative frequency distribution,we add the frequency of each class to the sum of the frequencies of all preceding classes.
| Class | Frequency | Cumulative frequency |
| $12.5-17.5$ | $2$ | $2$ |
| $17.5-22.5$ | $22$ | $2 + 22 = 24$ |
| $22.5-27.5$ | $19$ | $24 + 19 = 43$ |
| $27.5-32.5$ | $14$ | $43 + 14 = 57$ |
| $32.5-37.5$ | $13$ | $57 + 13 = 70$ |
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The following table gives the distribution of the lifetime of $400$ neon lamps:
Life time (in hours) Number of lamps $1500-2000$ $14$ $2000-2500$ $56$ $2500-3000$ $60$ $3000-3500$ $86$ $3500-4000$ $74$ $4000-4500$ $62$ $4500-5000$ $48$
Find the median lifetime of a lamp.
| Life time (in hours) | Number of lamps |
| $1500-2000$ | $14$ |
| $2000-2500$ | $56$ |
| $2500-3000$ | $60$ |
| $3000-3500$ | $86$ |
| $3500-4000$ | $74$ |
| $4000-4500$ | $62$ |
| $4500-5000$ | $48$ |
Find the median lifetime of a lamp.
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View SolutionFor the following data,the median class is $\ldots \ldots \ldots$
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $12$ $18$ $20$ $17$ $13$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
| Frequency | $12$ | $18$ | $20$ | $17$ | $13$ |
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View SolutionFind the median of the following frequency distribution:
Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ Frequency $5$ $6$ $15$ $10$ $5$ $4$ $2$ $2$
| Class | $5-10$ | $10-15$ | $15-20$ | $20-25$ | $25-30$ | $30-35$ | $35-40$ | $40-45$ |
| Frequency | $5$ | $6$ | $15$ | $10$ | $5$ | $4$ | $2$ | $2$ |
Medium
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