Ungrouped Data

Q. The average of the first 5 multiples of 9 is .

1. 27
2. 45
3. 20

Q. Read the bar graph given in Fig. 23.20 and answer the following questions:



(i) What information is given by the bar graph?

(ii) What was the expenditure on health and family planning in the year 1982-83?

(iii) In which year is the increase in expenditure maximum over the expenditure in previous year? What is the maximum increase?

Q.
The population of Delhi State in different census years is as given below:

Census year	1961	1971	1981	1991	2001
Population in Lakhs	30	55	70	110	150

Q.

Look at this table. It classifies the days of the months of June, July and August according to the rainfall received in a locality.

Rain (mm)		Days
10 − 20		8
20 − 30		10
30 − 40		14
40 − 50		20
50 − 60		15
60 − 70		8
70 − 80		7
80 − 90		6
90 − 100		4

Draw a histogram for this data.

Q.

Observe the given bar graph and choose the correct option for: the year in which the difference of the values of export and import is minimum.

1. 1986-87

2. 1984-85

3. 1985-86

4. 1982-83

Q. The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

Year	1992	1993	1994	1995	1996
Loan (in crores of rupees)	28	33	55	55	80

(i) Represent the above data with the help of a bar graph.
(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Q. Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily earning (in Rs):	450-500	500-550	550-600	600-650	650-700
Number of Stores:	16	10	7	3	1

Q. The following tables gives the quantity of goods (in crore tonnes)

Year	1950-51	1960-61	1965-66	1970-71	1980-81	1982-83
Quantity of Goods (in crore tonnes)	9	16	20	20	22	26

Represent this information with the help of a bar graph.
Explain through the bar graph if the quantity of goods carried by the Indian Railways in 1965-66 is more than double the quantity of goods carried in the year 1950-51.

Q. The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below:

Plans:	I	II	III	IV	V	VI
Expenditure on health (in 10 crores of rupees)	7	14	23	34	76	182

Construct a bar graph to represent the above data.

Q.

Given below are the heights of 20 students in centimetres. Find the number of students whose height is greater than 169 cm.

$$\begin{array}{cc}150& 178\\ 153& 156\\ 162& 184\\ 170& 176\\ 186& 173\\ 153& 186\\ 162& 159\\ 180& 183\\ 165& 180\\ 150& 156\end{array}$$

1. 7

2. 9

3. 10

4. 15

Q. Marks obtained by 5 students are 45, 46, 77, 75 and 92. The data given in this manner is called data.

1. grouped
2. ungrouped
3. mixed

Q.

A survey was taken by 400 students. The students were asked which industry they wished to work in. The data is shown below. Draw a bar graph to represent this information.

Q.

1. 1994 and 1995

2. 1995 and 1996

3. 1992 and 1993

4. 1996 and 1997

Q. The mean of $10$ observations is $5$. If $2$ is added to each observation and then multiplied by $3$, then what will be the new mean?

1. $7$
2. $5$
3. $15$
4. $21$

Q. The marks obtained by 17 students a mathematics test (out of 100) are given below:
90, 79, 76, 82, 65, 96, 100, 91, 82, 100, 49, 46, 64, 48, 72, 66, 68.
Find the range of the above data.
[1 Mark]

Q.

The sixth class interval for a grouped data whose first two class intervals are $10–15\mathrm{and}15–20$ is ______

Q. A survey was taken by 400 students. The students were asked which industry they wished to work in. The data is shown below.​


Draw a Bar Chart to represent this information.

Q.

Following graph shows monthly expenditure (in ₹) of a family. What was the expenditure in the month of March?

1. ₹1600

2. ₹800

3. ₹600

4. ₹500

Q. Marks obtained by 5 students are 45, 46, 77, 75 and 92. The data given in this manner is called data.

1. grouped
2. ungrouped
3. mixed

Q. The mean of first n odd natural numbers is n281n281

1. $9$
2. $81$
3. None of these
4. $27$

Q. Ungrouped data, not measured in numbers, is represented by __________.

1. Bar Graph
2. Histogram
3. Frequency Polygon
4. Pie chart

Q. The average of the first 5 multiples of 9 is .

1. 27
2. 45
3. 20

Q. In a departmental stores, the prices of articles were noted as follows (Amount in Rs.)
$\begin{array}{cccccccccccc}125,& 200,& 375,& 110,& 175,& 225,& 250,& 350,& 150,& 190,& 210,& 315,\\ 275,& 300,& 175,& 190,& 220,& 340,& 160,& 270,& 305,& 140,& 260,& 180,\\ 170,& 220,& 120,& 330,& 130,& 180,& 205,& 235,& 145,& 290,& 345.& \end{array}$
Draw a histogram by taking proper class intervals.

Q.

Following graph shows monthly expenditure (in ₹) of a family. What was the expenditure in the month of March?

1. ₹500

2. ₹1600

3. ₹800

4. ₹600

Q.

Following graph shows monthly expenditure (in ₹) of a family. What was the expenditure in the month of March?

1. ₹500

2. ₹600

3. ₹1600

4. ₹800

Q. Of the four numbers, the first is twice the second, the second is one-third of the third, and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is

1. $9$
2. $25$
3. $30$
4. $45$

Q. Draw a histogram of the following frequency distribution table.

Weekly income (Rs.)	200$-$299	300$-$399	400$-$499	500$-$599	600$-$699
24	24	32	78	23	15

Q.

State true or false.
The marks obtained by 10 students in a mathematics test are
given here: 52, 46, 92, 78, 62, 44, 34, 46, 58, 52
The presentation of data in the above manner is called ungrouped frequency table.

1. False

2. True

Q. If the average of 5 observations $x,x+2,x+4,x+6$ and $x+8$ is $11$, then what is the average of the last three observations?

1. $15$
2. $45$
3. $61$
4. $13$