Ungrouped Frequency Distribution Table

Q. The value of 𝛑 up to 35 decimal places is 3.14159265358979323846264338327950288
1. Make a frequency distribution of the digits from 1 to 9 after the decimal point.
2. Which digit occurs the least?

Q. The marks of 24 candidates in the subject mathematics are given below:

45	48	15	23	30	35	40	11
29	0	3	12	48	49	18	30
15	30	11	42	23	2	3	44

The maximum marks are 50. Make a frequency distribution taking class intervals 0 – 10, 10-20…

Q. The adjustment factor for the given discontinuous series is _______.

$\begin{array}{cc}No.ofhours& No.ofchildren\\ 0-5& 7\\ 6-10& 11\\ 11-15& 15\\ 16-20& 9\\ 21-25& 8\end{array}$

1. 0.5

Q.

In a frequency distribution table, the class interval 150-160 is attached with the frequency 15. So the point on the frequency polygon corresponding to this is

1. (165, 15)

2. (150, 15)

3. (160, 15)

4. (155, 15)

Q.

The value of $\mathrm{\pi }$ upto $35$ decimal places is given below : $3.14159265358979323846264338327950288$. Make a frequency distribution of the digits $0$ to $9$ after the decimal point .

Q.

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks?

$$\begin{array}{cccccc}Class& 12.5-17.5& 17.5-22.5& 22.5-27.5& 27.5-32.5& 32.5-37.5\\ Frequency& 2& 22& 19& 14& 13\end{array}$$

1. 21

2. 22

3. 23

4. 24

Q. Question 1

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Q. Construct a frequency distribution table for the data on the weights (in kg) of $20$ students of a class using intervals $30-35,35-40$ ans so on____
$40,38,33,48,60,53,31,46,34,36,49,41,55,49,65,42,44,47,38,39$.

Q. Question 5
The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table.

$\begin{array}{cc}Length\left(inmm\right)& Numberofleave\\ 118-126& 8\\ 127-135& 10\\ 136-144& 12\\ 145-153& 17\\ 154-162& 7\\ 163-171& 5\\ 172-180& 3\end{array}$

Draw a histogram to represent the data above.

Q.

Q. The following data gives the marks of 20 students in Mathematics (X) and statistics (Y), each out of 10, expressed as (x, y). Construct an ungrouped frequency distribution, considering single numbers as a class:

Q.

Given below are marks obtained by $20$ students in Math out of $25$.

$21,23,19,17,12,15,15,17,17,19,23,23,21,23,25,25,21,19,19,19$

Prepare a frequency distribution table for the given data.

Q. Consider the following data.
$15,17,17,20,15,18,16,25,16,15,$
$16,18,20,28,30,27,18,18,20,25,$
$16,16,20,28,15,18,20,20,20,25$. Form a frequency table.

Q.

The number of accidents per day in the month of April, $2014$, in Delhi were $3,7,5,0,2,0,2,4,6,8,2,1,7,4,3,2,5,6,2,3,5,4,2,1,7,4,3,5,2,1$. Prepare a frequency distribution table for the above data.

Q. Which set of numbers are in ascending order?

1. 3, 321; 3, 200; 3, 100; 3, 199
2. 6, 000; 5, 980; 4, 678; 9, 700
3. 3, 998; 3, 987; 4, 000; 4, 001
4. 4, 981; 4, 984; 4, 998; 5, 000

Q. Write the frequency distribution table for the following data.

Marks	Below $10$	Below $15$	Below $20$	Below $30$	Below $35$	Below $40$
Number of students	$0$	$15$	$20$	$30$	$35$	$40$

Q. The weight (in kgs) of 20 student of class IX are recorded as follows.

39	40	37	42	45	51	48	58	50	38
40	39	38	45	46	48	49	52	51	40

prepare a frequency distribution table for the above data.

Q. The value of $\pi$ up to 35 decimal places is given below:
$3.14159265358979323846264338327950288$
Make a frequency distribution of the digits $0$ to $9$ after the decimal point.

Q. The following table shows the utilisation of electricity for difference appliances in a home. Represent the information using a pie chart.

Appliances	Lamps	Freeze	Geiser	Other
Utilisation of electricity	$35\%$	$20\%$	$15\%$	$30\%$

Q. Among the group of students, $110\%$ scored marks below $20.20\%$ scored marks between $20$ and $40.35\%$ scored marks between $40$ and $60.20\%$ scored marks between $60$ and $80$. The remaining $30$ students scored marks between $80$ and $100$. Prepare frequency distribution table from the above information.

Q.

Question 51

In the following question, state whether the given statement is true (T) or false (F).
The largest six-digit telephone number that can be formed by using digits 5, 3, 4, 7, 0 and 8, where each digit can be used only once, is 875403.

Q. Look at the following table below.
$\begin{array}{cc}Classinterval& Classmark\\ 0-5& --\\ 5-10& --\\ 10-15& \\ 15-20& \end{array}$

Fill in the blanks with the class marks of the corresponding class intervals.

1. 0, 5
2. 5, 10
3. 2.5, 7.5
4. 3, 8

Q. Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows;
$123231110321221123203012322311$
Prepare a frequency distribution table for the data given above

Q.

Question 9
A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the class is constructed for the following data.

30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88

40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96

102, 110, 88, 74, 112, 14, 34, 44.
The number of classes in the distribution will be:

A) 9
B) 10
C) 11
D) 12

Q. A total of $20$ patients admitted to a hospital have blood sugar levels as given below :
$67,69,74,73,70,70,71,68,73,74,73,75,69,72,70,70,72,70,73,74$. Make a frequency table.

Q.

Make a frequency table from the following:

Marks obtained	Number of students
More than $60$	$0$
More than $50$	$16$
More than $40$	$40$
More than $30$	$75$
More than $20$	$85$
More than $10$	$90$
More than $0$	$100$

Q. Arrange the following data in ascending order and prepare the frequency table:
$9,4,3,1,7,10,4,3,3,4,9,8,1,6,3,7,9,1,8,10$

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. Form a ungrouped frequency distribution table for the vowels used in the given sentence.
"A rolling stone gathers no moss"

Q.

12	24	36	48	60	72
24	48	60	72	50	30
50	45	50	75	50	34

The number of students in a quiz competition scores are in the table. How many students scored $50$ marks?

1. $4$
2. $5$
3. $8$
4. $3$