STATISTICS PART TWO

Exercise No. 6.1

1. The Following data gives the number of students using different modes of transport:

Mode of transport	Bicycle	Bus	Walk	Train	Car
Number of Students	140	100	70	40	10

Represent the above data using pie diagram. [Ans]

2. Following is the component wise expenditure per article. Draw a pie diagram.  [Ans]

Component	Raw Material	Labour	Transportation	Packing	Taxes
Expenditure (Rs.)	800	300	100	100	140

  

3. The area under different crops in a certain village is given below. Represent it by pie diagram:  [Ans]

Crop	Jowar	Wheat	Sugar cane	Vegetables
Area in hectare	8000	6000	2000	2000

4. Electricity used by farmers during different parts of a day for irrigation is as follows:

Part of a day	Morning	Afternoon	Evening	Night
Percentage of electricity used	30	40	20	10

Draw pie diagram.  [Ans]   

5. The following table gives information about the monetary investment by some residents in a city:

Mode of Investment	Shares	Mutual funds	Real estate	Gold	Government bonds
Percentage of residents	10	20	35	30	5

Draw a pie diagram to represent the data.    [Ans]   

6. The following pie diagram represents expenditure on different items in constructing a building. Answer the following questions :     [Ans]

(a) Find the expenditure of each of the items if the total construction cost is Rs. 5,40,000.

(b) Which is the item with the maximum expenditure ?

(c) Which is the item with the minimum expenditure ?

7. The following diagram represents the sectorwise loan amount in crores of Rs. distributed by a bank. From the information answer the following questions :  [Ans]

(a) If the dairy sector received Rs. 20 crores, then find the total loan disbursed.

(b) Find the loan amount for agriculture sector and also for industrial sector.

(c) How much additional amount did industrial sector received than agriculture sector.

8. The following pie diagram shows percentage of persons according to blood group. Answer the following questions :

(a) Find the measure of central angle for each blood group.

(b) Find total number of persons if there are 600 persons of blood group B.  [Ans]

Exercise No. 6.2

1. Draw the histogram to represent the following data. [Ans.]

Daily sales of a store (in Rs. )	0 – 1000	1000 – 2000	2000 – 3000	3000 – 4000	4000 – 5000	Total
No. of days in a month	2	12	10	4	2	30

2. Represent the following data using a histogram.  [Ans.]

Height of students (cm)	140 – 144	145 – 149	150 – 154	155 – 159
Number of students	2	12	10	4

3. The marks scored by students in mathematics in a certain examination are given below: [Ans.]

Marks scored	1 – 20	21 – 40	41 – 60	61 – 80	81 – 100
Number of students	3	8	19	18	6

4. Draw the histogram for the following frequency distribution: [Ans]

House rent in Rs. per month	4000 – 6000	6000 – 8000	8000 – 10000	10000 – 12000
Number of families	200	240	300	50

5. Represent the following data by histogram and hence compute mode: [Ans]

Price of Sugar per kg (in Rs.)	18 – 20	20 – 22	22 – 24	24 – 26	26 – 28	Total
Number of weeks	4	8	22	12	6	52

Exercise No. 6.3

1. Draw histogram and frequency polygon for the following frequency distribution:[Ans]

Class	5 – 10	10 – 15	15 – 20	20 – 25	25 – 30
Frequency	20	30	50	40	10

2. Represent the following data using frequency curve: [Ans]

Electricity bill in  a month (in Rs.)	200 – 400	400 – 600	600  - 800	800 – 1000
No. of Families	362	490	185	63

3. Folowing is the frequency distribution of customers in a certain year at a departmental store: [Ans]

No. of customers	50 – 100	100 – 150	150 – 200	200 – 250	Total
No. of days.	90	98	138	39	365

Draw histogram and hence draw frequency curve.

4. Represent the following data using histogram and hence draw frequency polygon: [Ans]

No. of words typed per minute	30 – 39	40 – 49	50 – 59	60 – 69	70 – 79
No. of typists	2	8	15	12	3

5. Draw frequency polygon and frequency curve for the following data on land holding by the farmers: [Ans]

Area in hectares	11 – 20	21 – 30	31 – 40	41 – 50	51 – 60	61 – 70	71 – 80
No. of farmers	58	103	208	392	112	34	12