Frequency Table of Ungrouped Data

Q.

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: $1623512584810341228151176328596871412$
(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?

Q.

The distance (in $\mathrm{km}$) of $40$ engineers from their residence to their place of work were found as follows: $5310202511137123119101217181132171627978351215183121429615157612$ 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 $?$

Q.

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

1. 500

2. 600

3. 1600

4. 800

Q.

Assertion : Tabular presentation helps to compare between rows and columns and data can be represented using tabulation.
Reason: Tabulation of data is a must for diagrammatic representation.
Which of the following is correct.

1. Both A and R are true and R is the correct

2. Both A and R are true but R is not the correct explanation of A.

3. A is true and R is false.

4. A is false and R is true.

Q. Evaluate $\sqrt{3}$ up to two places of decimal.

Q. The given histogram represents marks of the students in mathematics.

What percentage of students scored more than or equal to 40 marks and less than 70 marks?

1. 24%
2. 32.88%
3. 33%
4. 75.34%

Q.

Given below is the height of 20 students in centimeters

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

Find the number of class intervals in the frequency table if two random class intervals are 180-184 and 185-189

1. 6

2. 7

3. 8

4. 9

Q.

A shoe-shop has following record of sizes of the shoes sold during a day:

5 6 7 6 7 5 8 10 8 6 6

9 7 10 6 5 4 8 6 6 6

Organise the data in a tabular form using tally marks and answer:

(i) Which shoe size has the maximum sale?

Q.

The histogram below shows the marks obtained by students in Mathematics.

In class intervals ________________ and ________________ , the number of students are equal.

1. 10-20 and 30-40

2. 30-40 and 60-70

3. 40-50 and 60-70

4. 30-40 and 50-60

Q.

We have drawn the bar graph showing the daily wages of 30 labourers in Anantapuri village. Now draw a line graph of this data.

Q. The following data shows Indias total population (in millions) from 1961 to 201l.

Year	1961	1971	1981	1991	2001	2011
Population (in millions)	360	420	540	680	1020	1200

Represent the above data by a bar graph

Q.

A shoe-shop has following record of sizes of the shoes sold during a day:

5 6 7 6 7 5 8 10 8 6 6

9 7 10 6 5 4 8 6 6 6

Organise the data in a tabular form using tally marks and answer:

(iii) Can you advise the shoe-shop owner on which size the show should he store more than other sizes? If yes, then whats that size?

Q.

Consider the marks obtained by 18 students (out of 100 marks) in a science quiz

30 40 50 35 55 60 40 30 60

75 60 30 40 60 55 35 50 40

What is the frequency of the least marks obtained in the class?

1. 4

2. 6

3. 5

4. 3

Q. Find the unknown entries a, b, c, d, e and f in the following distribution of heights of students in a class
$\begin{array}{ccc}Height\left(incm\right)& Frequency& Cumulativefrequency\\ 150-155& 12& a\\ 155-160& b& 25\\ 160-165& 10& c\\ 165-170& d& 43\\ 170-175& e& 48\\ 175-180& 2& f\\ Total& 50& \end{array}$

Q.

The list below gives the daily wages earned by 30 labourers in the Anantapuri village. Prepare a frequency table of these.

Now can you answer these questions?

(i) What is the daily wages of most labourers?

(ii) How many get 220 rupees a day?

(iii) How many get more than 150 rupees a day?

(iv) How many get the least amount of wages?

Draw a bar graph to represent this data.

Q.

The data of weekly wages of workers of a factory is given below.

Weekly Wages	Number of Workers
800 - 999	20
1000 - 1199	14
1200 - 1399	17
1400 - 1599	25
1600 - 1799	9
1800 - 1999	12

Convert the above table in the form of exclusive class intervals.

1. Weekly Wages	Number of Workers
   800 - 999	20
   999 - 1199	14
   1199 - 1399	17
   1399 - 1599	25
   1599 - 1799	9
   1799 - 1999	12

2. Weekly Wages	Number of Workers
   799.5 - 999.5	20
   999.5 - 1199.5	14
   1199.5 - 1399.5	17
   1399.5 - 1599.5	25
   1599.5 - 1799.5	9
   1799.5 - 1999.5	12

3. None of the above

4. Weekly Wages	Number of Workers
   799 - 999	20
   999 - 1199	14
   1199 - 1399	17
   1399 - 1599	25
   1599 - 1799	9
   1799 - 1999	12

Q. The heights (in cm) of students of a class is tabulated below.
$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ 170-174& 2\\ 175-179& 2\\ 180-184& 4\\ 185-189& 2\\ Total& 20\end{array}$
Identify the correct option.

1. Number of students having height in range of 160-174 cm is 5
2. Number of students having height in range of 160-174 cm is 4.
3. Number of students having height in range of 160-174 cm is 2.
4. Number of students having height in range of 160-174 cm is 3

Q.

A shoe-shop has following record of sizes of the shoes sold during a day:

5 6 7 6 7 5 8 10 8 6 6

9 7 10 6 5 4 8 6 6 6

Organise the data in a tabular form using tally marks and answer:

(ii) Which shoe size has the least sale?

Q.

Question 14

In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is:

(a) 40

(b) 50

(c) 20

(d) 30

Q. In the frequency distribution table for the following weights (in grams) of 35 mangoes, of equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table?

Q. The number of illiterate women and literate women living in four villages are given below. Show this information in a joint bar graph.

Village →	Sonke	Ralegaon	Nandni	Nevri
Literate	500	550	600	450
Illiterate	150	150	200	100

In this question, can we take a scale of 1 cm = 10 women on the y-axis? Think about it and choose a suitable scale.

Q. The following table shows the yearwise strength of a school

Year	2010−11	2011−12	2012−13	2013−14	2014−15
No. of students	950	1125	1400	1750	1900

Represent the above data by a bar graph.

Q. In a frequency distribution with classes 0-10, 10-20, etc., the size of the class intervals is 10. The lower limit of fourth class is:

1. 20
2. 30
3. 40
4. 50

Q.

Find the frequency of gettinng a number greater than 2 but less than 5.

$$\begin{array}{ccccccc}Dice& 1& 2& 3& 4& 5& 6\\ Frequency& 10& 12& 6& 4& 8& 10\end{array}$$

1. 10

2. 12

3. 22

4. 13

Q. Find the frequency of 40 in the given set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

Q.

The value of π up to 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
Then,

$\text{statement 1: The most frequently occurring}\text{digits are 3 and 9}$

$\text{statement 2: The least frequently occurring digit is 1}$

1. both the statements are correct

2. only (i) is correct

3. only (ii) is correct

4. both the statements are incorrect

Q. Study the bar graph given below and answer the questions that follow.

(a) What information does the above bar graph represent?
(b) In which year was production the least?
(c) In which year was the production of rice maximum?
(d) Find the average production of rice during the 5 years.
(e) Find the difference of rice production between the years 2006 and 2008.

Q.

Frequency of an entry ___.

1. reciprocal of number of times than particular entry runs

2. numbers of times that particular entry occurs.

3. twice the number of times that particular entry occurs.

4. none of these.

Q. In a frequency distribution with classes 0-10, 10-20, etc., the size of the class intervals is 10. The lower limit of fourth class is:

1. 20
2. 30
3. 40
4. 50

Q.

In the frequency distribution table for the following weights (in grams) of 35 mangoes, of equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table?

1. 8

2. 9

3. 6

4. 10