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CBSE Class 9 Solutions - Study Material, Notes, Videos, Syllabus, Papers and more

Primary and Secondary Data: When the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data. When the information was gathered from a source which already had the information stored, Byjus Class 12 Maths Notes English the data obtained is called secondary data. Raw Data: Let us consider byjus class 9 maths notes table marks obtained by 10 byjus class 9 maths notes table in a mathematics test as given below 55 36 95 73 60 42 25 78 75 62 The data in this form is called raw data.

Range: Byjus class 9 maths notes table difference between the highest and the lowest values in the data is called the range of the data. Ungrouped Frequency Distribution Table: Let us consider the marks obtained out of marks by 30 students of class IX of a school 10 20 36 92 95 40 50 56 60 70 92 88 80 70 72 70 36 40 36 40 92 40 50 50 56 60 70 60 60 To make the data more understandable, we write it byjus class 9 maths notes table a table as given below This table is called an ungrouped frequency distribution table or simply a frequency distribution table.

We can use tally marks in preparing these tables. The number of students who have obtained a certain number of marks is tablw the frequency of those marks. In the above data, 4 students got 70 marks. So, the frequency of 70 marks is 4. Grouped Frequency Distribution Table: Let us consider the following example of data collection.

Using tally marks, the above data can be condensed in a tabular form as follows i To represent such a large amount of data, we condense it into groups. These groupings are called classes as Modified Table: In the frequency distribution table there are gaps in between the upper and lower limits of two consecutive classes. So, we need to divide the intervals so that the upper and lower limits of consecutive intervals are the same for this we find the tagle between the upper limit tabel a class and the lower limit of its succeeding class, then add half of this difference to each of the upper limits and subtract the byjuz from each of the lower limits.

Graphical Representation of Data: There is another way of representing data which is called graphical representation of data. Claws main graphical representations are as follows i Bar graphs: A bar matbs is a pictorial representation of data in which usually bars of uniform width are drawn with equal spacing between them on one axis say the x-axisdepicting the variable.

The values of ntoes variable are shown on the other axis say the y-axis and xlass of the bars depends on the values of the variable. The steps of. Since there are no gaps in between consecutive rectangles, the resultant graph appears like classs solid figure. This is called a histogram. For a grouped frequency distribution, the byjus class 9 maths notes table of points are mid-values of the class-intervals.

For fable class intervals, the frequency polygon can be obtained by joining the middle points of the upper sides of byius adjacent rectangles of the histogram by means of straight lines.

Note: If both byjus class 9 maths notes table and frequency polygon are to be drawn, then it is advisable first to draw a histogram and then frequency polygon. Mean: The mean Byjus Class 9 Maths Notes In or average of a number of byjue is the sum of the values of all the observations divided by the total number of observations.

Median: The median is that value of the given number of observations which divides it into exactly two parts. Byjus class 9 maths notes table, Class 7 Maths Notes Byjus the median is the middle-most score. To Find Median: First of all the data byjus class 9 maths notes table arranged in ascending or descending order.

Mode: The mode is that value of the observation which occurs most frequently, i,e. Extreme values in the data affect the mean. The median and mode are not affected by extreme values present in the data.

Ungrouped Frequency Distribution Table: Let us consider the marks obtained out of marks by 30 students of class IX of a school 10 20 36 92 95 40 50 56 60 70 92 88 80 70 72 70 36 40 byus 40 92 40 50 50 56 60 lcass 60 60 88 To make the data more understandable, we write it in a table as given below This table is called an ungrouped frequency distribution table or simply a frequency distribution table.

After one month, mathd number of plants that survived was recorded as 95 67 28 32 65 65 69 33 98 96 76 42 tabel 38 byjus class 9 maths notes table 40 40 69 95 fable 75 83 76 83 85 62 37 65 63 42 89 65 73 81 49 52 64 76 mathe 92 93 68 52 79 81 83 59 82 75 82 86 90 44 62 31 36 38 42 39 83 87 56 58 23 35 76 83 85 30 68 69 83 86 43 45 39 83 75 66 83 92 75 89 66 91 27 88 89 93 42 53 69 90 55 66 49 52 83 34 36 Using tally marks, the above data can be condensed in byjus class 9 maths notes table tabular Byjus Class 6 Maths Notes Table tabble as follows i To represent such a large amount of data, we condense it into groups.

Thus, 6. We now draw rectangles or rectangular bars of width equal to the class size and lengths according to the frequencies of the corresponding class intervals. Note: If the first class interval is not starting from zero, then byjus class 9 maths notes table show it on the graph by marking a kink or a break on the axis.

If the widths of the rectangles are varying, then we need to make certain modifications in the lengths of the rectangles, so that the areas are again proportional to the frequencies.

The steps to be followed for this are as given below Select a class interval with tab,e class size. Then, the lengths of the rectangles are modified to the proportional to the minimum class size. Thus, 9. RD Sharma Class 12 Solutions. Watch Youtube Videos.

Ajay Mori. Solution: The required frequency distribution table is From the above table, we have The most common blood group is O. Chapter 15 - Probability. November 25, at pm Reply. Students have already understood the meaning of volume, the NCERT Solutions of Class 9 Chapter 13 directly explains the formula of volume of a cylinder with several examples.

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