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.
- A$3000$
- B$3500$
- C$3400$
- D$3406.98$
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Similar Questions
$A$ student noted the number of cars passing through a spot on a road for $100$ periods each of $3\, \text{minutes}$ and summarized it in the table given below. Find the mode of the data:
Number of cars $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $7$ $14$ $13$ $12$ $20$ $11$ $15$ $8$
| Number of cars | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $7$ | $14$ | $13$ | $12$ | $20$ | $11$ | $15$ | $8$ |
Medium
View Solution$A$ survey regarding the heights (in $cm$) of $51$ girls of Class $X$ of a school was conducted and the following data was obtained:
Height (in $cm$) Number of girls Less than $140$ $4$ Less than $145$ $11$ Less than $150$ $29$ Less than $155$ $40$ Less than $160$ $46$ Less than $165$ $51$
Find the median height.
| Height (in $cm$) | Number of girls |
| Less than $140$ | $4$ |
| Less than $145$ | $11$ |
| Less than $150$ | $29$ |
| Less than $155$ | $40$ |
| Less than $160$ | $46$ |
| Less than $165$ | $51$ |
Find the median height.
Easy
View SolutionThe given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Runs scored Number of batsmen $3000-4000$ $4$ $4000-5000$ $18$ $5000-6000$ $9$ $6000-7000$ $7$ $7000-8000$ $6$ $8000-9000$ $3$ $9000-10000$ $1$ $10000-11000$ $1$
Find the mode of the data.
| Runs scored | Number of batsmen |
| $3000-4000$ | $4$ |
| $4000-5000$ | $18$ |
| $5000-6000$ | $9$ |
| $6000-7000$ | $7$ |
| $7000-8000$ | $6$ |
| $8000-9000$ | $3$ |
| $9000-10000$ | $1$ |
| $10000-11000$ | $1$ |
Find the mode of the data.
Medium
View SolutionThe following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.
Number of students per teacher Number of states/$U$.$T$. $15-20$ $3$ $20-25$ $8$ $25-30$ $9$ $30-35$ $10$ $35-40$ $3$ $40-45$ $0$ $45-50$ $0$ $50-55$ $2$
| Number of students per teacher | Number of states/$U$.$T$. |
| $15-20$ | $3$ |
| $20-25$ | $8$ |
| $25-30$ | $9$ |
| $30-35$ | $10$ |
| $35-40$ | $3$ |
| $40-45$ | $0$ |
| $45-50$ | $0$ |
| $50-55$ | $2$ |
Medium
View SolutionThe median of the following data is $525$. Find the values of $x$ and $y$,if the total frequency is $100$.
Class interval Frequency $0-100$ $2$ $100-200$ $5$ $200-300$ $x$ $300-400$ $12$ $400-500$ $17$ $500-600$ $20$ $600-700$ $y$ $700-800$ $9$ $800-900$ $7$ $900-1000$ $4$
| Class interval | Frequency |
| $0-100$ | $2$ |
| $100-200$ | $5$ |
| $200-300$ | $x$ |
| $300-400$ | $12$ |
| $400-500$ | $17$ |
| $500-600$ | $20$ |
| $600-700$ | $y$ |
| $700-800$ | $9$ |
| $800-900$ | $7$ |
| $900-1000$ | $4$ |
Medium
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