The relative humidity (in $\%$) of a certain city for a month of $30$ days was as follows:
$98.1$ $98.6$ $99.2$ $90.3$ $86.5$ $95.3$ $92.9$ $96.3$ $94.2$ $95.1$ $89.2$ $92.3$ $97.1$ $93.5$ $92.7$ $95.1$ $97.2$ $93.3$ $95.2$ $97.3$ $96.2$ $92.1$ $84.9$ $90.2$ $95.7$ $98.3$ $97.3$ $96.1$ $92.1$ $89$
$(i)$ Construct a grouped frequency distribution table with classes $84-86, 86-88$,etc.
$(ii)$ Which month or season do you think this data is about?
$(iii)$ What is the range of this data?
| $98.1$ | $98.6$ | $99.2$ | $90.3$ | $86.5$ | $95.3$ | $92.9$ | $96.3$ | $94.2$ | $95.1$ |
| $89.2$ | $92.3$ | $97.1$ | $93.5$ | $92.7$ | $95.1$ | $97.2$ | $93.3$ | $95.2$ | $97.3$ |
| $96.2$ | $92.1$ | $84.9$ | $90.2$ | $95.7$ | $98.3$ | $97.3$ | $96.1$ | $92.1$ | $89$ |
$(i)$ Construct a grouped frequency distribution table with classes $84-86, 86-88$,etc.
$(ii)$ Which month or season do you think this data is about?
$(iii)$ What is the range of this data?
(N/A) $(i)$ $A$ grouped frequency distribution table of class size $2$ is constructed. The class intervals are $84-86, 86-88, 88-90, \dots$
By observing the data,the frequency distribution table is as follows:
$(ii)$ It can be observed that the relative humidity is high. Therefore,the data is about a month of the rainy season.
$(iii)$ Range of data = Maximum value $-$ Minimum value = $99.2 - 84.9 = 14.3$.
By observing the data,the frequency distribution table is as follows:
| Relative humidity (in $\%$) | Number of days (frequency) |
| $84-86$ | $1$ |
| $86-88$ | $1$ |
| $88-90$ | $2$ |
| $90-92$ | $2$ |
| $92-94$ | $7$ |
| $94-96$ | $6$ |
| $96-98$ | $7$ |
| $98-100$ | $4$ |
| Total | $30$ |
$(ii)$ It can be observed that the relative humidity is high. Therefore,the data is about a month of the rainy season.
$(iii)$ Range of data = Maximum value $-$ Minimum value = $99.2 - 84.9 = 14.3$.
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$100$ 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.
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?
Medium
View SolutionThe heights (in $cm$) of $9$ students of a class are as follows:
$155, 160, 145, 149, 150, 147, 152, 144, 148$
Find the median of this data. (in $\text{ cm}$)
$155, 160, 145, 149, 150, 147, 152, 144, 148$
Find the median of this data. (in $\text{ cm}$)
Medium
View SolutionClassify the data you can collect from your day-to-day life as primary or secondary data.
In our day-to-day life,we can collect the following data:
$1.$ Number of females per $1000$ males in various states of our country.
$2.$ Weights of students of our class.
$3.$ Production of wheat in the last $10$ years in our country.
$4.$ Number of plants in our locality.
$5.$ Rainfall in our city in the last $10$ years.
In our day-to-day life,we can collect the following data:
$1.$ Number of females per $1000$ males in various states of our country.
$2.$ Weights of students of our class.
$3.$ Production of wheat in the last $10$ years in our country.
$4.$ Number of plants in our locality.
$5.$ Rainfall in our city in the last $10$ years.
Medium
View SolutionThe distances (in $km$) of $40$ engineers from their residence to their place of work were found as follows:
$5$ $3$ $10$ $20$ $25$ $11$ $13$ $7$ $12$ $31$ $19$ $10$ $12$ $17$ $18$ $11$ $32$ $17$ $16$ $2$ $7$ $9$ $7$ $8$ $3$ $5$ $12$ $15$ $18$ $3$ $12$ $14$ $2$ $9$ $6$ $15$ $15$ $7$ $6$ $12$
Construct a grouped frequency distribution table with class size $5$ for the data given above,taking the first interval as $0-5$ ($5$ not included). What main features do you observe from this tabular representation?
| $5$ | $3$ | $10$ | $20$ | $25$ | $11$ | $13$ | $7$ | $12$ | $31$ |
| $19$ | $10$ | $12$ | $17$ | $18$ | $11$ | $32$ | $17$ | $16$ | $2$ |
| $7$ | $9$ | $7$ | $8$ | $3$ | $5$ | $12$ | $15$ | $18$ | $3$ |
| $12$ | $14$ | $2$ | $9$ | $6$ | $15$ | $15$ | $7$ | $6$ | $12$ |
Construct a grouped frequency distribution table with class size $5$ for the data given above,taking the first interval as $0-5$ ($5$ not included). What main features do you observe from this tabular representation?
Medium
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