Grouped 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.

Two dice are thrown at the same time. Find the probability of getting different number on both dice.

Q.

In a single throw of two dice, find the probability of: getting a total of $10$, getting a sum greater than$9$, getting a total of $9$or $11$, getting a doublet, getting a doublet of even numbers

Q.

Below given is the pulse count of 40 patients.
66, 79, 89, 67, 72, 82, 85, 80, 82, 81, 67, 87, 71, 68, 63, 74, 73, 86, 84, 75, 85, 80, 85, 61, 75, 85, 80, 85, 61, 75, 68, 69, 64, 75, 73, 72, 82, 76, 74, 77.
Group the data first in discontinuous class intervals such that one of the class intervals is 70-74.
Next, group the data in continuous class intervals such that one of the class intervals is 85-90.
Find the second class interval and the corresponding frequency of the class for both the groupings of the data.

1. $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 64-69& 6\end{array}$
   
   $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-70& 6\end{array}$

2. $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-69& 6\end{array}$
   
   $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-70& 6\end{array}$

3. $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-69& 6\end{array}$
   
   $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-70& 7\end{array}$

4. $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-70& 6\end{array}$
   
   $\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 65-70& 7\end{array}$

Q. State true or false:
Statistics helps us in drawing meaningful inferences from data collected in numerous experiments.

1. True
2. False

Q.

The following table gives the marks obtained by the students of a class in English.
$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ 30& 2\\ 40& 5\\ 50& 14\\ 60& 21\\ 70& 23\\ 80& 8\\ 90& 7\\ 100& 1\end{array}$

Which of the following is true ?

1. The frequency for class interval 85-95 is 7

2. The frequency for class interval 85-95 is 73

3. The frequency for class interval 9-105 is 74

4. The frequency for class interval 85-95 is 8

Q. The statement, 'class intervals must be continuous in histogram', is true.

1. Sometimes
2. Never
3. Always
4. For 1 case

Q.

3 people A, B and C are sitting in a circular fashion. Find the probability that A and B do not sit together.

1. 0

2. $\frac{1}{2}$

3. $\frac{1}{3}$

4. 1

Q.

The marks achieved by students in a class is given below:

$\begin{array}{cc}\text{Marks (more than)}& \text{Frequency}\\ 0& 0\\ 10& 15\\ 20& 2\\ 30& 12\\ 40& 30\\ 50& 24\\ 60& 18\\ 70& 14\\ 80& 18\\ 90& 16\\ 100& 0\end{array}$

The continuous grouped data with class interval 20 for the above table will be ___.

1. $\begin{array}{cc}Marks\left(morethan\right)& Frequency\\ 0-20& 15\\ 20-40& 14\\ 40-60& 54\\ 60-80& 3\\ 80-100& 34\end{array}$

2. $\begin{array}{cc}Marks& Frequency\\ 0-20& 5\\ 20-40& 14\\ 40-60& 54\\ 60-80& 32\\ 80-100& 34\end{array}$

3. $\begin{array}{cc}Marks& Frequency\\ 0-20& 15\\ 20-40& 14\\ 40-60& 54\\ 60-80& 32\\ 80-100& 34\end{array}$

4. $\begin{array}{cc}Marks\left(morethan\right)& Frequency\\ 0-20& 15\\ 20-30& 14\\ 30-60& 54\\ 60-80& 34\\ 80-100& 32\end{array}$

Q. The arithmetic mean of the following frequency distribution is 50.

Class	0-10	10-20	20-30	30-40	40-50
Frequency	16	p	30	32	14

Find the value of p.

Q.

Two dice are thrown at the same time.

Find the probability of getting same number on both dice.

Q. The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

1. None of the above
2. Organising Data
3. Secondary Data
4. Primary Data

Q.

A swimming academy has student members of various ages. Student distribution according to age is given below. What is the total number of student members in the academy?

$$\begin{array}{cc}Studentageinterval& Numberofstudent\\ 8-10& 7\\ 10-12& 10\\ 12-14& 9\\ 14-16& 13\\ 16-18& 11\\ 18-20& 2\end{array}$$

___

Q. The following is a chart of the revenue generated in a cafeteria on various food products over the course of a week: Food Items Revenue $\left(\$\right)$

Burger	500
Pizza	600
Pasta	400

Choose the inaccurate bar graph.

1. 
2. 
3. 
4. 

Q. The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

1. Organising Data
2. None of the above
3. Primary Data
4. Secondary Data

Q.

A box contains $30$ cards, numbered from $1$ to $30$. A card is drawn from the box at random. Find the probability that the number on the drawn card is even, prime, a multiple of $7$.

Q. The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

1. None of the above
2. Secondary Data
3. Organising Data
4. Primary Data

Q. The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

1. Primary Data
2. Organising Data
3. None of the above
4. Secondary Data

Q. Find the probability of getting the difference of two numbers obtained as a prime number, if a pair of dice are thrown simultaneously.

1. $\frac{4}{9}$
2. $\frac{5}{12}$
3. $\frac{1}{3}$
4. $\frac{1}{2}$

Q. The data obtained from the register with a security guard regarding the number of people present at different times of the day will be classified under

1. Secondary Data
2. Primary Data
3. Organising Data
4. None of the above