Ungrouped Frequency Table

Q. Question 8

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?

Q.

Question 1
The blood groups of 30 students are recorded as follows
A, B, O, A, AB, O, A, B, A, O, B, A, AB, B, A, AB, B, A, A, O, A, AB, B, A, O, B, A, B, A
Prepare a frequency distribution table for the data.

Q.

Question 6
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
$\begin{array}{cccccccccc}0& 1& 2& 2& 1& 2& 3& 1& 3& 0\\ 1& 3& 1& 1& 2& 2& 0& 1& 2& 1\\ 3& 0& 0& 1& 1& 2& 3& 2& 2& 0\end{array}$
Prepare a frequency distribution table for the data given above.

Q. Question 1
The blood groups of 30 students of Class VIII are recoded as follows:
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.
Represent this data in the form of frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Q.

Q.

Question 3
The scores (out of 100) obtained by 33 students in a mathematics test are as follows.
69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84, 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71, 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69.
Represent this data in the form of a frequency distribution.

Q.

Question 4 (v)

Find
0.5 $÷$ 1000

Q.

A machine on an average , manufactures $645$ nuts in a day . How many nuts did it produce in the month of October $2017?$

Q. The mean of 1, 7, 5, 3, 4, and 4 is m. The observations 3, 2, 4, 2, 3, 3 and p have mean (m - 1) and median q. Find p q.

1. p = 1, q = 2
2. p = 4, q = 2
3. p = 3, q = 3
4. p = 4, q = 3

Q.

Question 3 (i)
The relative humidity (in %) of a certain city for a month of 30 days was asfollows:
$\begin{array}{cccccccccc}98.1& 98.6& 99.2& 90.3& 86.5& 95.3& 92.9& 96.3& 94.2& 95.1\\ 89.2& 92.3& 97.1& 93.5& 92.7& 95.1& 97.2& 93.3& 95.2& 97.3\\ 96.2& 92.1& 84.9& 90.2& 95.7& 98.3& 97.3& 96.1& 92.1& 89\end{array}$
(i) Construct a grouped frequency distribution table with classes
84 - 86, 86 - 88, etc.

Q. Find the missing frequencies $f_1$ and $f_2$ in the following frequency distribution table.$N=100$ and median is $32$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$Total$
Frequency	$10$	$f_1$	$25$	$30$	$f_2$	$10$	$100$

Q.

The blood groups of $30$students of Class VIII are recorded as follows:$A,B,O,O,AB,O,A,O,B,A,O,B,A,O,O,A,AB,O,A,A,O,O,AB,B,A,O,B,A,B,O.$

Represent this data in the form of a frequency distribution table.

Which is the most common, and which is the rarest, blood group among these students?

Q.

Question 3 (v)
Multiply the following fractions
$3\frac{2}{5}\times \frac{4}{7}$

Q. Which class has lowest frequency ?

1. $0-10$
2. $10-20$
3. $20-30$
4. $30-40$

Q.

Question 6
The marks obtained (out of 100) by a class of 80 students are given below:

$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ 10-20& 6\\ 20-30& 17\\ 30-50& 15\\ 50-70& 16\\ 70-100& 26\end{array}$

Construct a histogram to represent the data above.

Q. Question 5

Refer to Q.4 above. Draw the less than type ogive for this data and use it to find the median weight.

Q.

Question 1 (v)

Find
$3÷2\frac{1}{3}$

Q.

In FIFA world cup '14 Brazil scored the following number of goals through the season

3 , 2 , 1 , 4 , 3 , 1 , 2 , 4 , 3 , 2 .

Make a ungrouped frequency table for the given data. [2 MARKS]

Q.

Question 8
A random survey of the number of children of various age groups playing in park was found as follows:

$\begin{array}{cc}\text{Age (in years)}& \text{Number of children}\\ 1-2& 5\\ 2-3& 3\\ 3-5& 6\\ 5-7& 12\\ 7-10& 9\\ 10-15& 10\\ 15-17& 4\end{array}$

Draw a histogram to represent the data above.

Q. Question 6
Refer to Q.5. Draw the less than type and more than type ogive for the data and use them to find the median weight.

Q. Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is $50$.

$x$:	$10$	$30$	$50$	$70$	$90$
$f$:	$17$	$f_1$	$32$	$f_2$	$19$	Total:$120$

Q. The marks obtained (out of 100) by a class of 80 students are given below:

$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ 10-20& 6\\ 20-30& 17\\ 30-50& 15\\ 50-70& 16\\ 70-100& 26\end{array}$

Construct a histogram to represent the data above. (3 marks)

Q. The marks of $30$ students of a class, obtained in a test (out of $75$), are given below:
$42,21,50,37,42,37,38,42,49,52,38,53,57,47,29$
$59,61,33,17,17,39,44,42,39,14,7,27,19,54,51$.
Form a frequency table with equal class intervals.

Q. Question 1 (v)
Find
0.05 $\times$ 7

Q. ​The following are the weights in kg. of 50 college students. Construct a frequency table, such that the width of each interval is 4 and the upper limit of the last class is 60. 42 , 45, 52, 42, 46, 54, 41, 37, 54, 44, 38, 45, 47, 50, 58, 49, 51, 42, 46, 37, 42, 39, 54, 39, 51, 58, 47 , 51, 43, 48, 49, 48, 49, 41, 41, 40, 58, 49, 49, 59, 57, 52, 56, 38, 46, 40, 51, 41, 51, 41, 20.

Q.

Observe the following table and answer that which blood group is the most common?

Q.

The blood groups of 30 students of Class VIII are recorded as follows:
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.
By representing this data in a frequency distribution table, find out the most common and the rarest blood group among these students.

1. O and A

2. B and AB

3. O and AB

4. B and A

Q. The blood groups of 30 students of class VIII are recorded as follows:
A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,
A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O

Represent this data in the form of a frequency distribution table. Find out which is the most common and which is the rarest blood group among these students.

Q.

Choose the correct Tally chart that represents the following data.

The following shows the marks obtained by 20 students of a class in a math test (out of 10 marks)

4, 7 , 8, 10, 10, 9 , 3 , 5 , 7 , 8

8 , 4, 9, 3, 10, 8, 9 , 5, 7, 8

1. 

2. 

3. 

4. None of these

Q.

The blood groups of $30$ students are recorded as follows: $A,B,O,A,AB,O,A,O,B,A,O,B,A,AB,B,A,AB,B,A,A,O,A,AB,B,A,O,B,A,B,A$

Prepare a frequency distribution table for the data.