Statistics| Worksheet Solutions| Class 9

Worksheet solutions for chapter: Statistics for class 9 are provided below.

(1) The weights (kg) of the students of a class are as follows –

40    45    42   42    50    45    35    55   52   42   40   35

35    56    40    41     50    47    41    42   45   39   40   42

(i) Construct a frequency distribution table.

(ii) Which weights is find maximum among students?

Ans-

(i) The frequency distribution table is constructed below –

Weights (kg) Frequency
35 3
39 1
40 4
41 2
42 5
45 3
47 1
50 2
52 1
55 1
56 1
          Total                      24

(ii) The highest number of students has 42 kg weight.

(2) The height (cm) 40 students are as follows-

140   145   150    160   145    140     153    154    144   147

162    170   169   144   156   165     166    172    143   135

133    138   172   154   149   148     139     147    150   168

164    146  156    153   159   173     139     145    150   155

(i)Represent these data in grouped frequency distribution table.

(ii) Give your conclusion from this table.

Ans-

(3) Given below are the numbers of books on different subjects in the library.

Subjects Mathematics Physics Chemistry History Others
Number of Books 400 250 300 300 100

(i) Draw a bar graph from the above data.

(ii) Which subject has maximum number of books?

Ans-

(i) The bar graph is constructed below

Diagram of Question 3 of Worksheet Solution of NCERT Chapter Statistics

(ii) Mathematics has the highest number of books (400) in the library.

(4) Construct a histogram representing data below –

Salary (Rs) Number of Persons
1000 – 5000 50
5000 – 10000 45
10000 – 15000 30
15000 – 20000 20
20000 – 25000 10

Ans-

The histogram is constructed below –

Figure of question 4 of worksheet solution of NCERT chapter Statistics

(5) There are 30 members in the gym. The data of numbers of members according to their weights are given below –

Weights (kg) Number of Members
46 – 55 2
56 – 65 4
66 – 75 5
76 – 85 8
86 – 95 6
96- 105 5
        Total                                30

Construct a frequency polygon with given data.

Ans-

Making the class-interval continuous-

Weights (kg) Number of Members
45.5 – 55.5 2
55.5 – 65.5 4
65.5 – 75.5 5
75.5 – 85.5 8
85.5 – 95.5 6
95.5- 105.5 5
        Total                                30

 

Weights (kg) Class – weight Number of Members
45.5 – 55.5 50.5 2
55.5 – 65.5 60.5 4
65.5 – 75.5 70.5 5
75.5 – 85.5 80.5 8
85.5 – 95.5 90.5 6
95.5- 105.5 100.5 5
        Total                                                                          30

The frequency polygon is constructed below –

Diagram of Question 5 of Worksheet Solution of NCERT Chapter Statistics

(6) The number of rose flowers in a garden for 10 years are given below –

100, 150, 125, 175, 173, 145, 110, 150, 152, 134

Find the mean and median of the data.

Ans-

(7)Find the mode and median of the given data-

34, 45, 75, 10, 34, 10, 75, 75, 45

Ans-

(8) Find the mean of the given table –

Salary (Rs) Number of persons
4000 15
10000 10
12000 8
15000 2

 

Ans-

(9) Fill in the blanks-

(i) Facts of figures, collected with a definite purpose, are called ______.

(ii) _____ is the area of study dealing with the presentation, analysis and interpretation of data.

Ans-

(i) Facts of figures, collected with a definite purpose, are called data.

(ii) Statistics is the area of study dealing with the presentation, analysis and interpretation of data.

(10) Find out primary and secondary data from the given example below –

Favorite TV programme among the kids in your neighbourhood, population of the country, number of tigers in a wildlife sanctuary, rain in our state, height of students of your class, Patients in hospital for different diseases.

Ans-

Primary data –

Favorite TV programme among the kids in your neighbourhood

Height of students of your class

Patients in hospital for different diseases

Secondary data –

Population of the country

Number of tigers in a wildlife sanctuary

Rain in our state

Helping Topics

Statistics

NCERT Solutions Class 9