Interpreting Frequency Tables

Q. The given histogram represents the heights of black cherry trees in a forest. How many black cherry trees have a height greater than or equal to 75 feet?

1. 25
2. 17
3. 10
4. 18

Q.

What is an organized collection of data?

Q.

What is data? [1 MARK]

Q.

Write the data given below in ascending order and prepare the frequency table.

$7,8,7,10,6,8,9,7,10,5,7,6,8,5,6,7,8,9,7,6,7,8$

Q.

Raw data is information in an unorganised form. It is the data that has not been processed for use.

1. information in a proper organised form

2. information in an unorganised form

Q.

The table below contains different sports and the number of people who like each sport.
$\begin{array}{cc}\text{Sports}& \text{Number of Entries}\\ \text{Football}& \text{10}\\ \text{Badminton}& \text{11}\\ \text{Volley Ball}& \text{15}\\ \text{Cricket}& \text{25}\\ \text{Basket Ball}& 20\end{array}$
What is the sum of the frequencies of volleyball and football?

1. 15

2. 25

3. 30

4. 10

Q.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 , 80 , 110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 , 117, 86, 65, 68, 90, 80, 118 , 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 and so on. [3 MARKS]

Q.

In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is:

1. 6

2. 7

3. 8

4. 12

Q.

In a Ranji match, 20 teams scored the following scores. Arrange the given data in grouped frequency distribution.

Scores: 11, 15, 23, 25, 31, 33, 39, 42, 43, 49, 51, 56, 65, 75, 79, 89, 99, 98, 92, 91 [2 MARKS]

Q. Sort the following class interval in increasing order of their class interval width.

1. 9-13
2. 15-22
3. 4-7
4. 5-18

Q.

The class intervals with the same frequency are

1. 60-65 , 80-85

2. 70-75 , 75-80

3. 60-65 , 65-70

4. 80-85 , 85-90

Q.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 , 80 , 110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 , 117, 86, 65, 68, 90, 80, 118 , 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the below frequency table is correct one?

Q.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 , 80 , 110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 , 117, 86, 65, 68, 90, 80, 118 , 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Construct a frequency table with class intervals 60 - 70 and so on. [3 MARKS]

Q.

Question 104(iv)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.

In which age group, is the number of literate females the highest ?

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

Q.

Question 47

Histogram given below shows the number of people owning the different number of books.

The total number of people surveyed are ___,

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.

Q. Find the observation with lowest frequency in 4, 5, 7, 4, 8, 5, 4, 8, 5, 4 .

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 48

Histogram given below shows the number of people owning the different number of books.

The number of people owning books more than 60 are ___

Q.

The weekly pocket expenses (in rupees) of 30 students of a class are given below: 62 , 80 , 110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 , 117, 86, 65, 68, 90, 80, 118 , 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Then which of the following frequency table is the correct one?

1. 
   $\begin{array}{cc}\text{Pocket Expense}& \text{Number of Students}\\ 60-70& 6\\ 70-80& 5\\ 80-90& 7\\ 90-100& 5\\ 100-110& 3\\ 110-120& 4\end{array}$

2. $\begin{array}{cc}\text{Pocket Expense}& \text{Number of Students}\\ 60-70& 6\\ 70-80& 6\\ 80-90& 7\\ 90-100& 4\\ 100-110& 3\\ 110-120& 3\end{array}$

3. $\begin{array}{cc}\text{Pocket Expense}& \text{Number of Students}\\ 60-70& 6\\ 70-80& 3\\ 80-90& 7\\ 90-100& 5\\ 100-110& 5\\ 110-120& 4\end{array}$

4. $\begin{array}{cc}\text{Pocket Expense}& \text{Number of Students}\\ 60-70& 1\\ 70-80& 5\\ 80-90& 7\\ 90-100& 5\\ 100-110& 8\\ 110-120& 4\end{array}$

Q.

An observation with highest frequency in 4, 5, 7, 4, 8, 5, 4, 8, 5, 4 is ________.

1. 5

2. 8

3. 4

4. 7

Q.

Here is a histogram which is made up of bricks. 1 brick = 10, 500. Carefully observe the histogram and answer the question that follows:

1. 2, 62, 500

2. 1, 89, 000

3. 2, 63, 000

4. 1, 88, 500

Q.

Question 104(iii)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.

In whic age group, are literate females the least ?

Q.

What is the observation with the least frequency in the following data.

$12,15,18,12,14,16,18,16,12,15,16,18$

Q. Arranging large amount of data, they are grouped into different classes to get an idea of the distribution, and the range of such class of data is called the _______.

1. range
2. lower limit
3. upper limit
4. class interval

Q.

The more data we have regarding something, the less accurate predictions we can draw.

1. True

2. False

Q.

Question 50

Histogram given below shows the number of people owning the different number of books. Answer 47 to 50 based on it.

The number of people having books more than 20 and less than 40 are ___

Q. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. Then find the lower limit of the class.

Q.

Question 70

From the histogram given below, we can say that 1500 males above the age of 20 are liberate.