Class 9 Maths Chapter 14 Statistics NCERT Solutions

NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.1 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.1.

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NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.1

Ex 14.1 Class 9 Maths Question 1.

Give five examples of data that you collect from your day-to-day life.

Solution:
Following are the five examples which are related to day-to-day life :

• Number of girl students in our class.
• Number of computer sets in our computer lab.
• Telephone bills of our house for last two years.
• Number of students appeared in an examination obtained from newspapers.
• Number of female teachers in all the schools in a state obtained from the education department.

Ex 14.1 Class 9 Maths Question 2.

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

Solution:
We have,
Primary data: (i), (ii) and (iii)
Secondary data: (iv) and (v) Ex 14.2 Class 9 Maths Question 1.
The blood groups of 30 students of class VIII are recorded as follows
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,
A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O
Represent this data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?
Solution:
The required frequency distribution table is

From the above table, we have The most common blood group is O. The rarest blood group is AB.

Ex 14.2 Class 9 Maths Question 2.

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

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?

Solution:
Here, the observation with minimum and maximum values are 2 and 32 respectively.
∴ The class intervals are as follows:
0 – 5, 5 – 10, 10 – 15, 15 – 20, 20 – 25, 25 – 30, 30 – 35

The required frequency distribution table is

From the above table we observe that:
(i) Frequencies of class intervals 5-10 and 10 – 15 are equal, i.e., 11 each. It shows that maximum number of engineers have their residences at 5 to 15 km away from their work place. (ii) Frequencies of class intervals 20 – 25 and 25 – 30 are also equal, i.e., 1 each. It shows that minimum number of engineers have their residences at 20 to 30 km away from their work place.

Ex 14.2 Class 9 Maths Question 3.

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

(i) Construct a grouped frequency distribution table with classes 84-86, 86-88 etc.
(ii) Which month or season do you think this data is about?
(iii) What is the range of this data?

Solution:
Here, the lowest value of observation = 84.9

The highest value of observation = 99.2
So, class intervals are 84 – 86, 86 – 88, 88 – 90, ……. , 98 – 100

(i) Thus, the required frequency distribution table is

(ii) Since, the relative humidity is high during the rainy season, so, the data appears to be taken in the rainy season.
(iii) Range = (Highest observation) – (Lowest observation) = 99.2 – 84.9 = 14.3

Ex 14.2 Class 9 Maths Question 4.

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

(i) Represent the data given above by a grouped frequency distribution table, taking class intervals as 160 – 165, 165 – 170 etc.
(ii) What can you conclude about their heights from the table?

Solution:
(i) Here, the lowest value of the observation = 150
The highest value of the observation = 173
∴ Class intervals are 150 – 155, 155 -160, …, 170 – 175.

The required frequency distribution table is

(ii) From the above table, we can conclude that more than 50% of the students are shorter than 165 cm.

Ex 14.2 Class 9 Maths Question 5.

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

(i) Make a grouped frequency distribution table for this data with class intervals as 0.00 – 0.04, 0.04 – 0.08 and so on.
(ii) For how many day’s was the concentration of sulphur dioxide more than 0.11 parts per million?

Solution:
(i) Here, the lowest value of the observation = 0.01
The highest value of the observation = 0.22
∴ Class intervals are 0.00 – 0.04, 0.04 – 0.08,……., 0.20 – 0.24
The required frequency distribution table is

(ii) The concentration of sulphur dioxide was more than 0.11 ppm for 8 days.

Ex 14.2 Class 9 Maths Question 6.

Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows

Prepare a frequency distribution table for the data given above.

Solution:
The required frequency distribution table is

Ex 14.2 Class 9 Maths Question 7.
The value of π upto 50 decimal places is given below
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.

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

Solution:
(i) The required frequency distribution table

(ii) The most frequently occurring digits are 3 and 9 and the least frequently occurring digit is 0.

Ex 14.2 Class 9 Maths Question 8.
Thirty children were asked about the number of hours they watched TV programmes in the previous week.
The results were found as follows

(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 – 10.
(ii) How many children watched television for 15 or more hours a week?

Solution:
(i) Here, the lowest value of the observation = 1 and the highest value of the observation = 17
∴ Class intervats are 0 – 5, 5 – 10 ., 15 – 20 The required frequency distribution table is

(ii) Number of children who watched television for 15 or more hours in a week = 2.

Ex 14.2 Class 9 Maths Question 9.
A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 – 2.5.
Solution:
Here, the lowest value of the observation = 2.2
and the highest value of the observation = 4.6
∴ Class intervals are 2.0 – 2.5, 2.5 – 3.0, …., 4.5 – 5.0
The required frequency distribution table is

NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.3

Ex 14.3 Class 9 Maths Question 1.
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 %)

(i) Represent the information given above graphically.
(ii) Which condition is the major cause of women’s ill health and death worldwide?
(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

Solution:
(i) The required graphical representation is shown as follows:

(ii) The major cause of women’s ill health and death worldwide is ‘reproductive health conditions’.
(iii) Two factors may be un education and poor background.

Ex 14.3 Class 9 Maths Question 2.
The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below

(i) Represent the information above by a bar graph.
(ii) In the classroom discuss, what conclusions can be arrived at from the graph.

Solution:
(i) The required bar graph is shown below: