In a grouped frequency distribution, the class width must be _____ .

Rohit asked people to draw a line $5 \mathrm{cm}$ long using a straight edge without any markings on it, here are the lengths in centimetres of the line drawn

Draw up a grounded frequency table for the data. Use a class interval of$1 \mathrm{cm}$.

The weekly wages (in rupees) of $28$workers of a factory are given below:

$668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656.$

Construct a frequency table with equal class intervals, taking the first of the class intervals as $610-630$, where $630$ is not included.

Write the quadrants in which the following points lie:

$\left(-4,7\right)$

Who is my friend?

I’ve a friend with me always,

In the nights and through the days.

When I run he runs with me,

Sometimes I lead, sometimes he.

When it’s dark he can’t be seen,

Do you know which friend I mean?

Read the poem carefully and answer the below question.

Which letter has been used more?

The heights (in centimeters) of $45$ people who look part in a physical fitness test are given below.

$\begin{array}{|llllllllllll|}\hline 160& 145& 168& 156& 168.4& 170& 163& 177& 143& 175& 169& 154\\ 163& 176& 160.3& 164& 150& 168& 166& 148& 154& 159& 164.5& \\ 165& 155& 148.2& 158& 174& 169& 168& 165& 170& 141& 172.7& \\ 179& 167& 171& 159& 167& 171& 165& 171& 167& 162& 171& \\ \hline\end{array}$

Make a frequency table.

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

Construct a grouped frequency distribution table with class size $5$for the data given above taking the first interval as$0-5 (5 \mathrm{not} \mathrm{included})$, What main features do you observe from this tabular representation? 

The electricity bills (in rupees) of $25$ houses of a certain locality for a month are given below:

$324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472$.

Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from $300-400$, where $400$ is not included.

Who is my friend?

I’ve a friend with me always,

In the nights and through the days.

When I run he runs with me,

Sometimes I lead, sometimes he.

When it’s dark he can’t be seen,

Do you know which friend I mean?

Read the poem carefully and answer the below question.

Which letter comes the least?

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 $60-70$ (where $70$ is not included), $70-80, 80-90,$ etc.

The pulse rate (per min) of  persons was recorded as given below:

$$\begin{gathered} 61, 76, 72, 73, 71, 66, 78, 73, 68, 81, 78, 63, 72, 75, 80, 68, 75, 62, 71, 81, \\ 73, 60, 79, 72, 73, 74, 71, 64, 76, 71 \end{gathered}$$

Construct a frequency table using class intervals of equal width, one class interval being $60$ - $65$.

Study the following frequency distribution table and answer the question given below.

Frequency Distribution of Daily Income of $550$ workers of a factory

Which class has the highest frequency?

Construct a frequency distribution table of class size $10$ for the following data:

$$\begin{gathered} 22, 11, 28, 15, 10, 7, 5, 21, 35, 42, 31, 29, 16, 24, 25, 12, 10, 18, 11,14, 6, \\ 3, 8, 11, 23, 25, 33, 45, 16, 49, 35, 14, 9, 22, 11, 15, 27, 30, 19, 8 \end{gathered}$$

The marks obtained by $40$ students of a class in an examination are given below:

$8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34.$

Prepare a frequency distribution table with equal class intervals, starting from $0-10$(where $10$ is not included).

Given below are the highest temperatures (in degree Celsius) one day in $40$ towns. Make a frequency table.

$\begin{array}{|llllllllll|}\hline 41& 23& 32& 40& 25& 30& 38& 47& 40& 39\\ 26& 31& 37& 32& 36& 41& 30& 25& 27& 30\\ 29& 40& 38& 36& 43& 37& 28& 27& 32& 36\\ 38& 36& 33& 32& 28& 27& 23& 26& 28& 31\\ \hline\end{array}$

The heights (in$\mathrm{cm}$) of $22$ students were recorded as under:

$125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133.$

Prepare a frequency distribution table, taking equal class intervals and starting from $125-130$, where $130$ is not included.

The daily earnings (in rupees) of$24$ stores in a market was recorded as under:

$715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500; 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700.$

Prepare a frequency table taking equal class sizes. One such class is $500-550$, where $550$ is not included.

Who is my friend?

I’ve a friend with me always,

In the nights and through the days.

When I run he runs with me,

Sometimes I lead, sometimes he.

When it’s dark he can’t be seen,

Do you know which friend I mean?

Read the poem carefully and answer these questions:

Which word comes most often in the poem?
 

A test was given to a group of $35$ students for a job. The time taken (in min) by the students to complete the test was:

$$\begin{gathered} 35, 30, 40, 27, 28, 44, 32, 43, 40, 25, 27, 48, 49, 47, 37, 38, 43, 41, 42, 32, 31, 48, 49, 34, 32, 35, \\ 45, 44, 40, 40, 27, 39, 48, 35, 41 \end{gathered}$$

Prepare a grouped frequency table for this data taking intervals $25$ - $30, 30$ - $35$ and so on.