The heights of $50$ students,measured to the nearest centimetres,have been found to be as follows:
$\begin{array}{llllllllll}161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 \\ 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 \\ 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 \\ 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 \\ 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159\end{array}$
$(i)$ Represent the data given above by a grouped frequency distribution table,taking the class intervals as $150-155, 155-160,$ etc.
$(ii)$ What can you conclude about their heights from the table?
$\begin{array}{llllllllll}161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 \\ 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 \\ 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 \\ 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 \\ 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159\end{array}$
$(i)$ Represent the data given above by a grouped frequency distribution table,taking the class intervals as $150-155, 155-160,$ etc.
$(ii)$ What can you conclude about their heights from the table?
(N/A) $(i)$ $A$ grouped frequency distribution table is constructed by taking class intervals of size $5$ starting from $150$. By tallying the data provided,we obtain the following frequency distribution table:
$(ii)$ From the table,it can be concluded that $35$ students (i.e.,$12+9+14 = 35$) have a height less than $165\, cm$. Since $35/50 = 70\%$,we can conclude that $70\%$ of the students are shorter than $165\, cm$.
| Height (in $cm$) | Number of students (frequency) |
| $150-155$ | $12$ |
| $155-160$ | $9$ |
| $160-165$ | $14$ |
| $165-170$ | $10$ |
| $170-175$ | $5$ |
| Total | $50$ |
$(ii)$ From the table,it can be concluded that $35$ students (i.e.,$12+9+14 = 35$) have a height less than $165\, cm$. Since $35/50 = 70\%$,we can conclude that $70\%$ of the students are shorter than $165\, cm$.
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$(ii)$ 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?
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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:
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$(i)$ 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.
Given below are the seats won by different political parties in the polling outcome of a state assembly elections:
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$(i)$ Draw a bar graph to represent the polling results.
$(ii)$ Which political party won the maximum number of seats?
| Political Party | $A$ | $B$ | $C$ | $D$ | $E$ | $F$ |
|---|---|---|---|---|---|---|
| Seats Won | $75$ | $55$ | $37$ | $29$ | $10$ | $37$ |
$(i)$ Draw a bar graph to represent the polling results.
$(ii)$ Which political party won the maximum number of seats?
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$A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.$
Represent this data in the form of a frequency distribution table. Which is the most common,and which is the rarest,blood group among these students?
$A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,$
$A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.$
Represent this data in the form of a frequency distribution table. Which is the most common,and which is the rarest,blood group among these students?
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