EASY
Earn 100

Using the cumulative frequency curve we can find out

50% studentsanswered this correctly

Important Questions on Statistics

MEDIUM

40 students enter for a game of shot-put competition. The distance thrown (in metres) is recorded below:

Distance in meter 12-13 13-14 14-15 15-16 16-17 17-18 18-19
Number of students 3 9 12 9 4 2 1

Use a graph paper to draw an ogive for the above distribution. Use a scale of 2 cm=1 m on one axis and 2 cm=5 students on the other axis. Hence using your graph find the median.

MEDIUM

Use graph paper for this question. The marks obtained by 120 students in an English test are given below:

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Number of students 5 9 16 22 26 18 11 6 4 3

Draw the ogive and hence, estimate the upper quartile marks.

HARD

Use graph paper for this question.

A survey regarding height (in cm) of 60 boys belonging to Class 10 of a school was conducted. The following data was recorded:

Height

in cm

135-140 140-145 145-150 150-155 155-160 160-165 165-170

No. of

boys

4 8 20 14 7 6 1

Taking 2 cm=height of 10 cm along one axis and 2 cm=10 boys along the other axis draw an ogive of the above distribution. Use the graph to estimate the following:

If above 158 cm is considered as the tall boys of the class. Find the number of boys in the class who are tall.

 

HARD

Use graph paper for this question.

A survey regarding height (in cm) of 60 boys belonging to Class 10 of a school was conducted. The following data was recorded:

Height

in cm

135-140 140-145 145-150 150-155 155-160 160-165 165-170

No. of

boys

4 8 20 14 7 6 1

Taking 2 cm=height of 10 cm along one axis and 2 cm=10 boys along the other axis draw an ogive of the above distribution. Use the graph to estimate the following:

The median

MEDIUM

40 students enter for a game of the shot-put competition. The distance thrown (in meters) is recorded below,

Distance in m 12-13 13-14 14-15 15-16 16-17 17-18 18-19
Number of students 3 9 12 9 4 2 1

Use graph paper to draw an ogive for the above distribution.

Use the scale of 2 cm =1 m on one axis and 2cm = 5 students on the other axis.

Hence using your graph find the number of students who cover a distance which is above 1612 m

MEDIUM

An insurance policy agent found the following data for distribution of ages of 35 policy holders. Draw a ''less than type'' (below) of ogive for the given data:

                 Age(in years)                  Number of policy holders
                   Below 20                             2
                   Below 25                             6
                   Below 30                            12
                   Below 35                            16
                   Below 40                            20
                   Below 45                            25
                   Below 50                            35

 

MEDIUM

Use graph paper for this question.

The marks obtained by 120 students in an English test are given below

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Number of students 5 9 16 22 26 18 11 6 4 3

Draw the ogive and hence, estimate the number of students who did not pass the test if the pass percentage was 50.

EASY
Ogive is graphical representation of _____ in a frequency distribution.
HARD

Use graph paper for this question.

The marks obtained by 120 students in an English test are given below

Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Number of students 5 9 16 22 26 18 11 6 4 3

Draw the ogive and hence, estimate the median marks.

MEDIUM

During the medical check-up of 35 students of a class, their weights were recorded as follows. Draw a less than type of ogive for the given data:

Weight in kg Number of students
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35
MEDIUM

From the frequency distribution table given below, draw less than ogive:

Marks obtained 50-60 60-70 70-80 80-90 90-100
Frequency 4 8 12 6 10

 

MEDIUM

Use graph paper for the question.

A survey regarding height (in cm) of 60 boys belonging to class 10 of a school was conducted. The following data was recorded:

Height in cm 135-140 140-145 145-150 150-155 155-160 160-165 165-170
No. of boys  4 8 20 14 7 6 1

Taking 2 cm=height of 10 cm along one axis and 2 cm=10 boys along the other axis draw an ogive of the above distribution. Use the graph to estimate the lower quartile.

 

 

MEDIUM
The following table shows the number of students enrolled in different streams in a particular college.
Science Arts Commerce Vocational
Boys Girls Boys Girls Boys Girls Boys Girls
32 18 28 45 42 42 13 30

 The ratio of the number of girls studying Arts to the number of girls studying in all other streams is:

 

MEDIUM

Consider the following distribution:

Marks obtained Number of students
More than or equal to 0 63
More than or equal to 10 58
More than or equal to 20 55
More than or equal to 30 51
More than or equal to 40 48
More than or equal to 50 42

The frequency of the class 30-40 is