The following table gives the life times of $400$ neon lamps:
The time (in hours) Number of lamps $300-400$ $14$ $400-500$ $56$ $500-600$ $60$ $600-700$ $86$ $700-800$ $74$ $800-900$ $62$ $900-1000$ $48$
$(i)$ Represent the given information with the help of a histogram.
$(ii)$ How many lamps have a life time of more than $700$ hours?
| The time (in hours) | Number of lamps |
| $300-400$ | $14$ |
| $400-500$ | $56$ |
| $500-600$ | $60$ |
| $600-700$ | $86$ |
| $700-800$ | $74$ |
| $800-900$ | $62$ |
| $900-1000$ | $48$ |
$(i)$ Represent the given information with the help of a histogram.
$(ii)$ How many lamps have a life time of more than $700$ hours?
(N/A) $(i)$ By taking the life time (in hours) of neon lamps on the $x$-axis and the number of lamps on the $y$-axis,the histogram of the given information can be drawn as shown in the figure.
Here,$1$ unit on the $y$-axis represents $10$ lamps.
$(ii)$ The number of neon lamps having a lifetime of more than $700$ hours is the sum of the number of lamps in the intervals $700-800$,$800-900$,and $900-1000$.
Therefore,the number of neon lamps having a lifetime of more than $700$ hours is $74 + 62 + 48 = 184$.
Here,$1$ unit on the $y$-axis represents $10$ lamps.
$(ii)$ The number of neon lamps having a lifetime of more than $700$ hours is the sum of the number of lamps in the intervals $700-800$,$800-900$,and $900-1000$.
Therefore,the number of neon lamps having a lifetime of more than $700$ hours is $74 + 62 + 48 = 184$.
Explore More
Similar Questions
Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$\begin{array}{llllllllll}0 & 1 & 2 & 2 & 1 & 2 & 3 & 1 & 3 & 0 \\ 1 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 \\ 3 & 0 & 0 & 1 & 1 & 2 & 3 & 2 & 2 & 0\end{array}$
Prepare a frequency distribution table for the data given above.
$\begin{array}{llllllllll}0 & 1 & 2 & 2 & 1 & 2 & 3 & 1 & 3 & 0 \\ 1 & 3 & 1 & 1 & 2 & 2 & 0 & 1 & 2 & 1 \\ 3 & 0 & 0 & 1 & 1 & 2 & 3 & 2 & 2 & 0\end{array}$
Prepare a frequency distribution table for the data given above.
Easy
View Solution$5$ people were asked about the time in a week they spend doing social work in their community. They said $10, 7, 13, 20$ and $15$ hours,respectively. Find the mean (or average) time in a week devoted by them for social work.
Medium
View Solution$100$ surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:
Number of letters Number of surnames $1-4$ $6$ $4-6$ $30$ $6-8$ $44$ $8-12$ $16$ $12-20$ $4$
$(i)$ Draw a histogram to depict the given information.
$(ii)$ Write the class interval in which the maximum number of surnames lie.
| Number of letters | Number of surnames |
| $1-4$ | $6$ |
| $4-6$ | $30$ |
| $6-8$ | $44$ |
| $8-12$ | $16$ |
| $12-20$ | $4$ |
$(i)$ Draw a histogram to depict the given information.
$(ii)$ Write the class interval in which the maximum number of surnames lie.
Consider the marks,out of $100$,obtained by $51$ students of a class in a test,given in the table below. Draw a frequency polygon corresponding to this frequency distribution table.
Marks Number of students $0-10$ $5$ $10-20$ $10$ $20-30$ $4$ $30-40$ $6$ $40-50$ $7$ $50-60$ $3$ $60-70$ $2$ $70-80$ $2$ $80-90$ $3$ $90-100$ $9$ Total $51$
| Marks | Number of students |
| $0-10$ | $5$ |
| $10-20$ | $10$ |
| $20-30$ | $4$ |
| $30-40$ | $6$ |
| $40-50$ | $7$ |
| $50-60$ | $3$ |
| $60-70$ | $2$ |
| $70-80$ | $2$ |
| $80-90$ | $3$ |
| $90-100$ | $9$ |
| Total | $51$ |
Medium
View SolutionConsider the marks obtained (out of $100$ marks) by $30$ students of Class $IX$ of a school:
$\begin{array}{*{20}{c}}
{10}&{20}&{36}&{92}&{95}&{40}&{50}&{56}&{60}&{70} \\
{92}&{88}&{80}&{70}&{72}&{70}&{36}&{40}&{36}&{40} \\
{92}&{40}&{50}&{50}&{56}&{60}&{70}&{60}&{60}&{88}
\end{array}$
$\begin{array}{*{20}{c}}
{10}&{20}&{36}&{92}&{95}&{40}&{50}&{56}&{60}&{70} \\
{92}&{88}&{80}&{70}&{72}&{70}&{36}&{40}&{36}&{40} \\
{92}&{40}&{50}&{50}&{56}&{60}&{70}&{60}&{60}&{88}
\end{array}$
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo