Give 5 scenarios of day-to-day life from which any type of data can be collected.

Classify the above data in Question 1 as primary or secondary data.

The blood group record of 30 pupil of standard 9th is recorded in a following data:

A, O, AB, B, O, O, O, A, B, B, O, A, O, A, O, AB, A, O, O, A, O, A, AB, B, O, A, A, B, O, B

Illustrate this report in a form of a frequency distribution table.

Give the rarest blood group of these pupils present in the classroom.

The distance (in km) of 40 engineers from their residence to their place of work were found as follows:

5           3          10           20             25         11          13        7        12        31

19        10         12           17             18         11           32      17       16         2

7           9           7              8               3            5            12       15       18         3

12       14          2              9               6            15           15        7           6         12

Construct a grouped frequency distribution table with class size 5 for the data given above

taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

 

The relative humidity (in %) of a certain city for a month of 30 days was as follows:

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

(1) Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88, etc.

(2) Which month or season do you think this data is about?

(3) What is the range of this data?

The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:

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

(1) Represent the data given above by a grouped frequency distribution table,

taking the class intervals as 160 - 165, 165 - 170, etc.

(2) What can you conclude about their heights from the table?

 

 

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city.

The data obtained for 30 days is as follows:

0.03    0.08    0.08    0.09    0.04    0.17

0.16    0.05    0.02    0.06    0.18    0.20

0.11   0.08     0.12    0.13    0.22    0.07

0.08   0.01     0.10    0.06    0.09    0.18

0.11   0.07     0.05    0.07    0.01    0.04

(1) Make a grouped frequency distribution table for this data with class intervals as

0.00 - 0.04, 0.04 - 0.08, and so on.

(2) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?

Three coins were tossed 30 times simultaneously.

Each time the number of heads occurring was noted down as follows:

0    1    2    2    1    2    3    1    3    0

1    3    1    1    2    2    0    1    2    1

3    0    0    1    1    2    3    2    2    0

Prepare a frequency distribution table for the data given above.

The value of π upto 50 decimal places is given below:

3.14159265358979323846264338327950288419716939937510

(1) Make a frequency distribution of the digits from 0 to 9 after the decimal point.

(2) What are the most and the least frequently occurring digits?

Thirty children were asked about the number of hours they watched TV programmes in the previous week.

The results were found as follows:

1 6    2    3    5    12    5    8    4    8

10    3    4    12    2    8    15    1   17    6

3      2    8     5     9    6     8     7    14 12

(1) Make a grouped frequency distribution table for this data, taking class width 5

and one of the class intervals as 5 - 10.

(2) How many children watched television for 15 or more hours a week?

A company manufactures car batteries of a particular type.

The lives (in years) of 40 such batteries were recorded as follows:

2.6    3.0     3.7     3.2     2.2     4.1     3.5     4.5

3.5    2.3    3.2     3.4     3.8      3.2     4.6     3.7

2.5    4.4    3.4     3.3     2.9      3.0     4.3     2.8

3.5    3.2    3.9     3.2     3.2     3.1    3.7      3.4

4.6    3.8    3.2     2.6     3.5     4.2    2.9      3.6

Construct a grouped frequency distribution table for this data,

using class intervals of size 0.5 starting from the interval 2 - 2.5.

A survey conducted by an organisation for the cause of illness and death among the women between the ages

15 - 44 (in years) worldwide, found the following figures (in %):

                           

(1) Represent the information given above graphically.

(2) Which condition is the major cause of women’s ill health and death worldwide?

(3) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in

(2) above being the major cause.

The following data on the number of girls (to the nearest ten) per thousand boys in

different sections of Indian society is given below.

                               

(1) Represent the information above by a bar graph.

(2) In the classroom discuss what conclusions can be arrived at from the graph.

Given below are the seats won by different political parties in the polling outcome of a state assembly elections:

                                      

(1) Draw a bar graph to represent the polling results.

(2) Which political party won the maximum number of seats?

 

The length of 40 leaves of a plant is measured correct to one millimetre,

and the obtained data is represented in the following table:                                                                      

 

 

 

 

(1) Draw a histogram to represent the given data.

(2) Is there any other suitable graphical representation for the same data?

(3) Is it correct to conclude that the maximum numbers of leaves are 153 mm long? Why?

The following table gives the life times of neon lamps:

                                  

(i) Represent the given information with the help of a histogram.

(ii)How many lamps have a lifetime of more than 700 hours?

The following table gives the distribution of students of two sections according to the mark obtained by them:

                                      

Represent the marks of the students of both the sections on the same graph by two frequency polygons.

From the two polygons compare the performance of the two sections.

The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

                                

Represent the data of both the teams on the same graph by frequency polygons.                

[Hint: First make the class intervals continuous.]

A random survey of the number of children of various age groups playing in park was found as follows:

                                       

Draw a histogram to represent the data above.

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:

                                         

(1) Draw a histogram to depict the given information.

(2) Write the class interval in which the maximum number of surnames lie.         

The following number of goals was scored by a team in a series of 10 matches:

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

In a mathematics test given to 15 students, the following marks (out of 100) are recorded:

41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60

Find the mean, median and mode of this data.

The following observations have been arranged in ascending order.

If the median of the data is 63, find the value of x.

29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, and 18.

Find the mean salary of 60 workers of a factory from the following table:

                            

Give one example of a situation in which

(1) The mean is an appropriate measure of central tendency.

(2) The mean is not an appropriate measure of central tendency

but the median is an appropriate measure of central tendency.