Mathematics Part ii Solutions Solutions for Class 8 Math Chapter 5 - Statistics

Answer:

In order to draw the bar graph of the given data, we represent the districts of Kerala on the x-axis and temperature on the y-axis with the appropriate scale.

Here is the bar graph representing the given data.

Answer:

In order to draw the bar graph of the given data, we represent the items on the x-axis and percentage expenditiure on the y-axis with the appropriate scale.

Here is the bar graph representing the given data.

Answer:

The frequency table of the given data can be made as follows:

(i)

Frequency table shows that the maximum frequency 7 is for daily wage of Rs.125.

Thus, the daily wages of most of the labourers is Rs.125.

(ii)

Frequency table shows that the frequency for daily wage of Rs.220 is 3.

Thus, 3 labourers get Rs.220 a day.

(iii)

Frequency table shows that there are 11 (= 1 + 2 + 1 + 1 + 3 + 1 + 1 + 1) labourers who get more than Rs.150 a day.

(iv)

Frequency table shows that the least daily wage is Rs.110, which 2 labourers get.

Thus, 2 labourers get the least amount of wages.

(v)

In order to draw the bar graph of the given data, we represent the number of labourers on the x-axis and daily wage on the y-axis with the appropriate scale.

Here is the bar graph representing the given data.

Answer:

Frequency table of the given data can be drawn as follows:

(i)

Frequency table shows that in 5 families there are exactly 6 members.

(ii)

Frequency table shows that there are 5 ( = 1 + 3 + 1) families who have fewer than 5 members.

(iii)

Frequency table shows that there is only 1 family that has just 2 members.

Answer:

In order to draw the line graph of the given data, we represent the daily wage on the x-axis and number of labourers on the y-axis with the appropriate scale.

Here is the line graph representing the given data.

Answer:

(i) The table shows that the frequency of sixth week is 20.

Thus, 20 bicycles were sold during the sixth week.

(ii) The table shows that the frequency of five weeks (1^st, 2^nd, 3^rd, 4^th and 5^th week) is 40 or more than 40.

Thus, during the first 5 weeks, at least 40 bicycles were sold.

(iii) The table shows that the frequency of five weeks, i.e., 1^st, 2^nd, 3^rd and 4^th week is more than 50.

Thus, during the first four weeks, more than 50 bicycles were sold.

(iv) In order to draw the line graph of the given data, we represent the week on the x-axis and number of bicycles sold on the y-axis with the appropriate scale.

Here is the line graph representing the given data.

Answer:

In order to draw the line graph of the given data, we represent the number of days on leave on the x-axis and number of workers on the y-axis with the appropriate scale.

Here is the line graph representing the given data.

(i) There were 40 workers in all. The table shows that the frequency of workers who did not take any leave is 2.

Thus, there were 38 (= 40 − 2) workers who were on leave for at least one day.

(ii) The table shows that frequency of workers who were on leave for more than 5 days is 8 (= 0 + 5 + 2 + 1).

(iii) The table shows that frequency of workers on leave for 6 or 7 days are 0 and 5.

Thus, there were 5 (= 0 + 5) workers who were on leave for 6 or 7 days.

Answer:

In order to draw the line graph of the given data, we represent the month on the x-axis and number of coconuts on the y-axis with the appropriate scale.

Here is the line graph representing the given data.

Answer:

Disclaimer: The first and second part of the question aims at the observational and creational skills of a student. Hence, the answer to these parts should be done by the students on their own.

Graphs are used instead of tables sometimes because visual presentation is more efficacious. Graphs provide us with the quick statistical analysis of the data. So, we convert the numerical data given in the table into a pictorial form for the ease of reading and understanding.

Answer:

Disclaimer: The given question aims at the observational and creational skills of a student. Hence, the answer to this question should be done by the students on their own.