EASY
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Frequency curve is drawn from frequency polygon by smoothening the vertices.

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Important Questions on Statistics

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

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.

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

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.

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 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

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

A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted and the following data as obtained"

Height in cm Number of girls
Less than 140 4
Less than 145 11
Less than 150 29
Less than 155 40
Less than 160 46
Less than 165 51

Find the median height.

HARD

The marks obtained by 100 students of a class in an examination are given below.

Marks No. of students
0-5 2
5-10 5
10-15 6
15-20 8
20-25 10
25-30 25
30-35 20
35-40 18
40-45 4
45-50 2

Draw a 'less than' type cumulative frequency curves (ogive). Hence find the median.

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

 

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

The following distribution gives the daily income of 50 workers of a factory.

Daily income in  100-120 120-140 140-160 160-180 180-200
Number of workers 12 14 8 6 10

Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive

MEDIUM

Write less than cumulative frequency and greater than cumulative frequency table for the following data.

Class interval 5-10 10-15 15-20 20-25 25-30
Frequency 4 45 20 13 9

 

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

The following table gives production yield per hectare of wheat of 100 farms of a village

Production yield kg/hec 40-45 45-50 50-55 55-60 60-65 65-70
Number of farms 4 6 16 20 30 24

Change the distribution to a 'more than type' distribution and draw its ogive.

HARD

The following distribution gives the daily income of 50 workers of a factory :

120-140
Daily Income (in ) 100-120 140-160 160-180 180-200
Number of workers 12 14 8 6 10

Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.