In a particular section of Class $IX,$ $40$ students were asked about the months of their birth and the following graph was prepared for the data so obtained:
Observe the bar graph given above and answer the following questions:
$(i)$ How many students were born in the month of November?
$(ii)$ In which month were the maximum number of students born?
Observe the bar graph given above and answer the following questions:
$(i)$ How many students were born in the month of November?
$(ii)$ In which month were the maximum number of students born?
(N/A) Note that the variable here is the 'month of birth',and the value of the variable is the 'Number of students born'.
$(i)$ By observing the bar graph,the height of the bar corresponding to the month of November is $4$. Thus,$4$ students were born in the month of November.
$(ii)$ By observing the bar graph,the tallest bar corresponds to the month of August,which has a height of $6$. Thus,the maximum number of students were born in the month of August.
$(i)$ By observing the bar graph,the height of the bar corresponding to the month of November is $4$. Thus,$4$ students were born in the month of November.
$(ii)$ By observing the bar graph,the tallest bar corresponds to the month of August,which has a height of $6$. Thus,the maximum number of students were born in the month of August.
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Similar Questions
In a city,the weekly observations made in a study on the cost of living index are given in the following table:
Cost of living index Number of weeks $140-150$ $5$ $150-160$ $10$ $160-170$ $20$ $170-180$ $9$ $180-190$ $6$ $190-200$ $2$ Total $52$
Draw a frequency polygon for the data above (without constructing a histogram).
| Cost of living index | Number of weeks |
| $140-150$ | $5$ |
| $150-160$ | $10$ |
| $160-170$ | $20$ |
| $170-180$ | $9$ |
| $180-190$ | $6$ |
| $190-200$ | $2$ |
| Total | $52$ |
Draw a frequency polygon for the data above (without constructing a histogram).
Medium
View SolutionThe lengths of $40$ leaves of a plant are measured correct to one millimetre,and the obtained data is represented in the following table:
Length (in $mm$) Number of leaves $118-126$ $3$ $127-135$ $5$ $136-144$ $9$ $145-153$ $12$ $154-162$ $5$ $163-171$ $4$ $172-180$ $2$
$(i)$ Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
$(ii)$ Is there any other suitable graphical representation for the same data?
$(iii)$ Is it correct to conclude that the maximum number of leaves are $153 \, mm$ long? Why?
| Length (in $mm$) | Number of leaves |
| $118-126$ | $3$ |
| $127-135$ | $5$ |
| $136-144$ | $9$ |
| $145-153$ | $12$ |
| $154-162$ | $5$ |
| $163-171$ | $4$ |
| $172-180$ | $2$ |
$(i)$ Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
$(ii)$ Is there any other suitable graphical representation for the same data?
$(iii)$ Is it correct to conclude that the maximum number of leaves are $153 \, mm$ long? Why?
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
View SolutionGive one example of a situation in which $(i)$ the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
Easy
View SolutionLet us consider the following frequency distribution table which gives the weights of $38$ students of a class:
Weights (in $kg$) Number of students $31-35$ $9$ $36-40$ $5$ $41-45$ $14$ $46-50$ $3$ $51-55$ $1$ $56-60$ $2$ $61-65$ $2$ $66-70$ $1$ $71-75$ $1$ Total $38$
If two new students of weights $35.5\, kg$ and $40.5\, kg$ are admitted to this class,how should the frequency distribution table be adjusted to include them?
| Weights (in $kg$) | Number of students |
| $31-35$ | $9$ |
| $36-40$ | $5$ |
| $41-45$ | $14$ |
| $46-50$ | $3$ |
| $51-55$ | $1$ |
| $56-60$ | $2$ |
| $61-65$ | $2$ |
| $66-70$ | $1$ |
| $71-75$ | $1$ |
| Total | $38$ |
If two new students of weights $35.5\, kg$ and $40.5\, kg$ are admitted to this class,how should the frequency distribution table be adjusted to include them?
Difficult
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