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Maths project on statistics for class 9
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The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores. Causes Female fatality rate % 1. Maths Important Questions Class 9 are given below. The value of π upto 50 decimal places is given below: 3.
Data arranged in ascending or descending order is called arrayed data or an array. Wenn Sie unseren Partnern gestatten, Cookies zu nutzen, um ähnliche Daten zu erfassen wie wir auf unseren Seiten, können diese auf unseren Seiten Werbung anbieten, die Ihren Interessen entspricht z. Project 3: Experiments on Probability To appreciate that finding probability through experiment is different from finding proability by calculation.
NCERT Solutions for Class 9 Maths - CBSE - Class mark of a class is the mid value of the two limits of that class. Multiple Choice Questions Short Answer Questions with Reasoning Short Answer Type Questions Long Answer Type Questions Answers to Multiple Choice Questions 1.
NCERT Solutions for Class 9th: Ch 14 Statistics Maths Page No: 239 Exercise 14. Give five examples of data that you can collect from your day-to-day life. Answer Five examples from day-to-day life: i Daily expenditures of household. Classify the data in Q. Answer Primary Data: i iii and v Secondary Data: ii and iv Page No: 245 Exercise 14. The blood groups of 30 students of Class VIII are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O. Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students? Answer The frequency means the number of students having same blood group. We will represent the data in table: Blood Group Number of Students Frequency A 9 B 6 O 12 AB 3 Total 30 Most common Blood Group Highest frequency : O Rarest Blood Group Lowest frequency : AB 2. The distance in km of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 5 not included. What main features do you observe from this tabular representation? Answer The given data is very large. So, we construct a group frequency of class size 5. Therefore, class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the table as: The classes in the table are not overlapping. Also, 36 out of 40 engineers have their house below 20 km of distance. The relative humidity in % of a certain city for a month of 30 days was as follows: 98. Answer i The given data is very large. So, we construct a group frequency of class size 2. Therefore, class interval will be 84-86, 86-88, 88-90, 90-92 and so on. The data is represented in the table as: Relative humidity in % Frequency 84-86 1 86-88 1 88-90 2 90-92 2 92-94 7 94-96 6 96-98 7 98-100 4 Total 30 ii The humidity is very high in the data which is observed during rainy season. So, it must be rainy season. The heights of 50 students, measured to the nearest centimetres, have been found to be as follows: 161 150 154 165 168 161 154 162 150 151 162 164 171 165 158 154 156 172 160 170 153 159 161 170 162 165 166 168 165 164 154 152 153 156 158 162 160 161 173 166 161 159 162 167 168 159 158 153 154 159 i Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc. Answer i The data with class interval 160-165, 165-170 and so on is represented in the table as: Height in cm No. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million ppm of a certain city. The data obtained for 30 days is as follows: 0. Answer i The data with class interval 0. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows: 0 1 2 2 1 2 3 1 3 0 1 3 1 1 2 2 0 1 2 1 3 0 0 1 1 2 3 2 2 0 Prepare a frequency distribution table for the data given above. Answer The frequency distribution table for the data given above can be prepared as follow: Number of Heads Frequency 0 6 1 10 2 9 3 5 Total 30 7. The value of π upto 50 decimal places is given below: 3. Answer i The frequency is given as follow: Digits Frequency 0 2 1 5 2 5 3 8 4 4 5 5 6 4 7 4 8 5 9 8 Total 30 ii The digit having the least frequency occurs the least and the digit with highest frequency occurs the most. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows: 1 6 2 3 5 12 5 8 4 8 10 3 4 12 2 8 15 1 17 6 3 2 8 5 9 6 8 7 14 12 i Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5-10. Answer i The distribution table for the given data, taking class width 5 and one of the class intervals as 5-10 is as follows: Number of Hours Frequency 0-5 10 5-10 13 10-15 5 15-20 2 Total 30 ii We observed from the given table that 2 children television for 15 or more hours a week. A company manufactures car batteries of a particular type. The lives in years of 40 such batteries were recorded as follows: 2. Answer A grouped frequency distribution table using class intervals of size 0. Lives of batteries in years No. A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 - 44 in years worldwide, found the following figures in % : S. Causes Female fatality rate % 1. Reproductive health conditions 31. Answer i The data is represented below graphically. The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: S. Length in mm Number of leaves 1. Answer i The data is represented in a discontinuous class interval. So, first we will make continuous. Length in mm Number of leaves 1. From the two polygons compare the performance of the two sections. For section A, Marks Class Mark Frequency 0-10 5 3 10-20 15 9 20-30 25 17 30-40 35 12 40-50 45 9 For section B, Marks Class Mark Frequency 0-10 5 5 10-20 15 19 20-30 25 15 30-40 35 10 40-50 45 1 Now, we draw frequency polygon for the given data. Represent the data of both the teams on the same graph by frequency polygons. So, first we will make continuous. Number of balls Team A Team B 0. The class intervals in the data is having varying width. We know that the area of rectangle is proportional to the frequencies in the histogram. The class interval with minimum class size 1 is selected and the length of the rectangle is proportionate to it. The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores. In a mathematics test given to 15 students, the following marks out of 100 are recorded: 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data.
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