Statistics

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the number of members in 50 household of a village is given.

Now,

Note that, after making frequency table we can easily answer the questions that follows:

To find: Count of households having only 2 members.

Please check in the first column ‘Number of members’ and search for 2.

Now, once you have found number 2, look at the adjacent cell which is 5.

⇒ There are 5 such households having only 2 members.

Here, 5 is called frequency of 2.

Thus, answer is 5.

To find: Count of households having four or less than four members.

Look for 4, 3 and 2 in the first column of the table.

Write down the numbers adjacent to 2, 3 and 4. We have,

Frequency of 2 = 5,

Frequency of 3 = 11,

Frequency of 4 = 9

Add up these numbers. That is, 5 + 11 + 9 = 25

⇒ There are 25 households having four or less members.

Thus, answer is 25.

To find: Count of households having ten or more members.

Look for numbers 10 and more than 10. We have, 10 and 13.

Note down the numbers adjacent to 10 and 13 from the second column.

Frequency of 10 = 1 &

Frequency of 13 = 1

Adding it up, 1 + 1 = 2

⇒ There are 2 households having ten or more members.

Thus, answer is 2.

To find: Size of household that occurs most.

We will start by searching for the greatest number in the right column of the table above.

So, the greatest number is 11.

Note the number adjacent to the frequency 11 from the first column.

That is, 3.

⇒ The size of the household that occurs most is 3. (Among all 50-household having different count of members, 3 members exist in most of the household)

Thus, answer is 3.

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the distance (in km) from where they come.

Now,

Note that, after making frequency table we can easily answer the questions that follows:

(i). To find: students who are exactly 1 km away from school.

Look at the first column ‘Distance’ of the table and locate 1.

Now, you need to note the value in the adjacent column, here it is 3.

⇒ 3 students are exactly 1 km away from school.

Thus, answer is 3.

To find: Number of students who live more than 5 km away.

Look at the table for more than 5 km values in the first column. We have 6, 7, 8, 9, 11, 12 and 14.

Note down frequencies of each value from the second column.

Frequency of 6 = 6

Frequency of 7 = 5

Frequency of 8 = 1

Frequency of 9 = 5

Frequency of 11 = 1

Frequency of 12 = 2

Frequency of 14 = 1

Add up the numbers, 6 + 5 + 1 + 5 + 1 + 2 + 1 = 21

⇒ There are 21 students from more than 5 km.

Thus, answer is 21.

To find: Number of students who live between 5 to 10 km.

Look at the table for numbers between 5 and 10. We have 6, 7, 8 and 9.

Now, note down frequencies of each value from the second column.

Frequency of 6 = 6

Frequency of 7 = 5

Frequency of 8 = 1

Frequency of 9 = 5

Add up the numbers, 6 + 5 + 1 + 5 = 17

⇒ There are 17 students who live between 5 to 10 km.

Thus, answer is 17.

To find: Number of students who lives more than 10 km away.

Look at the table for numbers more than 10 in first column ‘Distance (in km)’. We have 11, 12 and 14.

Now, note down frequencies of each value from second column.

Frequency of 11 = 1

Frequency of 12 = 2

Frequency of 14 = 1

Add up the numbers, 1 + 2 + 1 = 4

⇒ There are 4 students who live more than 10 km away.

Thus, answer is 4.

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the scores of 35 children in a test.

Now,

Note that, after making frequency table we can easily answer the questions that follows:

To find: Number of children who scored 20.

Look at the first column ‘Scores of children’ of the table and locate 20.

Now, you need to note the value in the adjacent column, here it is 1.

⇒ 1 student is there who scored 20.

Thus, answer is 1.

To find: Number of children who got scores between 10 and 20.

Look at the table for numbers between 10 and 20 in the first column. We have 11, 12, 13, 14, 15, 16, 17, 18 and 19.

Note down frequencies of each value from the second column.

Frequency of 11 = 3

Frequency of 12 = 3

Frequency of 13 = 4

Frequency of 14 = 4

Frequency of 15 = 6

Frequency of 16 = 5

Frequency of 17 = 4

Frequency of 18 = 2

Frequency of 19 = 1

Add up the numbers, 3 + 3 + 4 + 4 + 6 + 5 + 4 + 2 + 1 = 32

⇒ There are 32 children who got score between 10 and 20.

Thus, answer is 32.

To find: Number of students who scored less than 10.

Look at the table for numbers less than 10. We see that there is no number less than 10 in the first column of the table.

If there is no value in the first column less than 10, then frequency will obviously be 0.

⇒ There are 0 students who scored less than 10.

Thus, answer is 0.

To find: Score that most of the children got.

For this, we need to find highest frequency in the second column. The highest frequency in the second column is 6.

Now look for the adjacent number in the first column. The number is 15.

⇒ 15 is the score the most of the children got (that is, 6 children got 15 score).

Thus, answer is 15.

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the highest temperature of one day in 40 towns.

Now,

This is the frequency table we want.

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the height of 45 people who took part in a physical fitness test.

Try to list the numbers in an order (either ascending or descending), this will make our frequency table presentable and neat.

Now,

This is the frequency table we want.

Let us understand what a histogram is.

A histogram is a diagram of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Represent the data in tabular form showing midpoints of the intervals.

Take these midpoints in x-axis and number of children in y-axis, then plot on a graph paper preferably.

This is the histogram we are looking for.

Let us understand what a histogram is.

A histogram is a diagram of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Represent the data in tabular form showing midpoints of the intervals.

Take these midpoints in x-axis and number of households in y-axis, then plot on a graph paper preferably.

This is the histogram we are looking for.

Let us understand what a histogram is.

A histogram is a diagram of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Represent the data in tabular form showing midpoints of the intervals.

Take these midpoints in x-axis and days in y-axis, then plot on a graph paper preferably.

This is the histogram we are looking for.

Let us understand what a histogram is.

A histogram is a diagram of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Represent the data in tabular form showing midpoints of the intervals.

First making histogram of number of women.

Take these midpoints in x-axis and number of women in y-axis, then plot on a graph paper preferably.

Now, making histogram of number of men.

Take these midpoints in x-axis and number of men in y-axis, then plot on a graph paper preferably.

These are the histograms we are looking for.

First let us understand what frequency table is and why it is made.

The table that is constructed based on the data values with its corresponding frequency is termed as frequency table. Frequency of a data is nothing but the number of times the data value occurs.

We make frequency table for ease of observation.

Let us try making frequency table using the values given in the question…

First, look at what is already given in the question. That is, the weight of 45 children in a class.

Try to list the numbers in an order (either ascending or descending), this will make our frequency table presentable and neat.

Now,

For histogram, represent it into a tabular form consisting of class intervals and midpoints.

Take class width of 10 and frequency is given by number of children.

Take these midpoints in x-axis and number of children in y-axis, then plot on a graph paper preferably.

This is the histogram we are looking for.