Given below are the marks obtained by \[30\] students in an examination:
$08$ $17$ $33$ $41$ $47$ $23$ $20$ $34$ $09$ $18$ $42$ $14$ $30$ $19$ $29$ $11$ $36$ $48$ $40$ $24$ $22$ $02$ $16$ $21$ $15$ $32$ $47$ $44$ $33$ $01$
Taking class intervals \[1 - 10\], \[11 - 20\],……….,\[41 - 50\]; make a frequency table for the above distribution.
| $08$ | $17$ | $33$ | $41$ | $47$ |
| $23$ | $20$ | $34$ | $09$ | $18$ |
| $42$ | $14$ | $30$ | $19$ | $29$ |
| $11$ | $36$ | $48$ | $40$ | $24$ |
| $22$ | $02$ | $16$ | $21$ | $15$ |
| $32$ | $47$ | $44$ | $33$ | $01$ |
Answer
646.5k+ views
Hint: Divide the marks of the students according to the intervals given and calculate the frequency by calculating the number of students in the particular interval.
Complete step-by-step answer:
Given: Marks obtained by \[30\] students in an examination:
When we are solving this type of question, we need to follow the steps provided in the hint part above.
We are given marks of \[30\]students. We are going to make the class interval of \[10\]as given below.\[1 - 10,11 - 20,21 - 30,31 - 40,41 - 50\].
Now count the occurrence of every number and fill in the table.
Hence, the frequency table is drawn. We can clearly see that there are \[4\] students we obtained marks in between \[1\]to \[10\] by this table we can easily analyse our data.
Hence after following the each and every step given in the hint part we obtained our final answer.
Note: In this problem take care of the number of students in the particular interval and also take the calculation of students for the frequency of different intervals carefully and match the sum of frequency with number of students to cross check.
Complete step-by-step answer:
Given: Marks obtained by \[30\] students in an examination:
| $08$ | $17$ | $33$ | $41$ | $47$ |
| $23$ | $20$ | $34$ | $09$ | $18$ |
| $42$ | $14$ | $30$ | $19$ | $29$ |
| $11$ | $36$ | $48$ | $40$ | $24$ |
| $22$ | $02$ | $16$ | $21$ | $15$ |
| $32$ | $47$ | $44$ | $33$ | $01$ |
When we are solving this type of question, we need to follow the steps provided in the hint part above.
We are given marks of \[30\]students. We are going to make the class interval of \[10\]as given below.\[1 - 10,11 - 20,21 - 30,31 - 40,41 - 50\].
Now count the occurrence of every number and fill in the table.
| Marks Obtained by Students | Frequency |
| \[1 - 10\] | \[4\] |
| \[11 - 20\] | \[8\] |
| \[21 - 30\] | \[6\] |
| \[31 - 40\] | \[6\] |
| \[41 - 50\] | \[6\] |
Hence, the frequency table is drawn. We can clearly see that there are \[4\] students we obtained marks in between \[1\]to \[10\] by this table we can easily analyse our data.
Hence after following the each and every step given in the hint part we obtained our final answer.
Note: In this problem take care of the number of students in the particular interval and also take the calculation of students for the frequency of different intervals carefully and match the sum of frequency with number of students to cross check.
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