The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the Number of students who got above 74 % by drawing an ogive curve.

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Solution

$\begin{matrix} Marks & No. of Students & Cumulative Frequency & Points to be plotted 0 - 10 & 3 & 3 & (10, 3) 10 - 20 & 7 & 10 & (20, 10) 20 - 30 & 12 & 22 & (30, 22) 30 - 40 & 15 & 37 & (40, 37) 40 - 50 & 20 & 57 & (50, 57) 50 - 60 & 9 & 66 & (60, 66) 60 - 70 & 8 & 74 & (70, 74) 70 - 80 & 16 & 90 & (80, 90) 80 - 90 & 14 & 104 & (90, 104) 90 - 100 & 6 & 110 & (100, 110) \end{matrix}$

To find the number of students scoring above 74% , we need to identify the number of students who have scored 74% and below

Joining the Point 74 on the X - axis with the ogive by drawing a perpendicular from it gives the Y- coordinate as 80.

$∴$ 80 students scored 74% and below.

The number of students who scored above 74% = Total number of students - Students scoring 74% and below.

= 110 - 80 = 30 Students

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Similar questions

The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the Upper Quartile by drawing an ogive curve.

The given table shows the Marks obtained by students in Mathematics.

$\begin{matrix} Marks & No. of Students 0 - 10 & 3 10 - 20 & 7 20 - 30 & 12 30 - 40 & 15 40 - 50 & 20 50 - 60 & 9 60 - 70 & 8 70 - 80 & 16 80 - 90 & 14 90 - 100 & 6 \end{matrix}$

Using the table determine the InterQuartile Range by drawing an ogive curve.

Question 6 (ii)
A teacher wanted to analyze the performance of two sections of students in a mathematics test of 100 marks. Looking at their performances, she found that a few Students got under 20 marks and a few got 70 marks or above.So she decided to Group them into intervals of varying sizes as follows : 0−20,20−30…60−70,70 − 100. Then she formed the following table:
$\begin{matrix} Marks & Number of student 0 - 20 & 7 20 - 30 & 10 30 - 40 & 10 40 - 50 & 20 50 - 60 & 20 60 - 70 & 15 70 - a b o v e & 8 Total & 90 \end{matrix}$
(ii) Find the probability that a student obtained marks 60 or above.

Question 6 (i)
A teacher wanted to analyze the performance of two sections of students in a mathematics test of 100 marks. Looking at their performances, she found that a few students got under 20 marks and a few got 70 marks or above.So she decided to group them into intervals of varying sizes as follows : 0−20,20−30…60−70,70 − 100. Then she formed the following table:
$\begin{matrix} Marks & Number of student 0 - 20 & 7 20 - 30 & 10 30 - 40 & 10 40 - 50 & 20 50 - 60 & 20 60 - 70 & 15 70 - a b o v e & 8 Total & 90 \end{matrix}$
(i) Find the probability that a student obtained less than 20% in the mathematics
test.

Q. The following table shows the marks obtained by students of a class in a math test (out of 10 marks).

Maximum number of students got marks.

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The given table shows the Marks obtained by students in Mathematics. MarksNo. of Students0−10310−20720−301230−401540−502050−60960−70870−801680−901490−1006 Using the table determine the Number of students who got above 74 % by drawing an ogive curve.