mean questions with solutions

We now multiply all data values by a constant k and calculate the new mean μ' and the new standard deviation σ'. In this problem, we were given the following information: In 2013: 1 pound sterling = 89 rupees . Detailed solutions are included. So the sequence is 2, -1, -4. RS Aggarwal Solutions Class 10 Chapter 9 - Benefits In this article we learn about harmonic progression formula for nth term, sum of terms, properties with examples. Their sum must be 12, so you have x+y+z=12. . Selection of the terms in an Arithmetic Progression, If number of terms is 3 then assume them as ” a-d, a & a+d” and common difference is  “d”, If number of terms is 4 then assume them as  ” a-3d, a-d, a+d & a+3d ”  and common difference is  “2d”, If number of terms is 5 then assume them as  ” a-2d, a-d, a, a+d & a+2d ”  and common difference is  “d”, If number of terms is 6 then assume them as  ” a-5d, a-3d, a-d, a+d ,  a+3d & a+5d ”  and common difference is  “2d”. Required fields are marked *. What is the number that was removed? rn  are said to be arithmetic means between “a” and “b” if a, r1, r2, r3, r4, . Then, Here a, A, b are in A.P . The range is 6 - 1 = 5. 5,000 per month each while the supervisor gets Rs. mean of Data set A = (9+10+11+7+13)/5 = 10 mean of Data set B = (10+10+10+10+10)/5 = 10 mean of Data set C = (1+1+10+19+19)/5 = 10 Standard Deviation Data set A All the Exercise questions with solutions in Chapter 9 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive are given below: Exercise (Ex 9A) 9.1. 3, 4, x, 7, 8. The question asks for a three digit number: call the digits x, y and z. . Ask questions, doubts, problems and we will help you. Mean with solution. Solution: Question 21. The answers are provided and are located at the lower part of the page. . Calculate the mean, median and mode of the salaries. Solution: From graph, median = 54. + rn ], 1. The following table shows the grouped data, in classes, for the heights of 50 people. Q.1. . The workers earn a salary of Rs. Relationship Between Arithmetic, Geometric, Harmonic Mean. https://study.com/academy/lesson/mean-definition-sample-problems-quiz.html (3 + 3) / 2 = 3 To get the mode: 3 is the mode because it occurs the most number of times. The questions have been designed to test for deep understanding of maths concepts. . Exercise (Ex 9D) 9.4. What is the mean test score? According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. To get the median: The median is the average of the two middle numbers. Solution: Formula – The ‘n’ numbers G 1, G 2, G 3, . Solutions. . . To obtain the median, let us arrange the salaries in ascending order: After solving or attempting to solve the problems above on your own, check your answers below to compare what you succeeded on and what you may need to review. ( ii ) abc = 8 . If the standard deviation of a given data set is equal to zero, what can we say about the data values included in the given data set? 1) View Solution . 15 = sum of observations / 10. Find second geometric mean. Applying the Mean Value Theorem — Practice Questions By Mark Ryan If you traveled from point A to point B at an average speed of, say, 50 mph, then according to the Mean Value Theorem, there would be at least one point during your trip when your speed was exactly 50 mph. . . Example 2:Find the average of 56, 41, 59, 52, 42 and 44. Solution: Mean = (Sum of all 10 matches) /10 = (2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10 = 2.8. Out of these observations if the mean of first 13 observations is 22 and that of the last 13 observations is 30, the 13th observation is: (a) 23 (b) 26 (c) 28 (d) 30. The Median of the following distribution is 35.Find the value of x: Solution: Question 23. of observations. examveda.com is a portal which provide MCQ Questions for all competitive examination such as GK mcq question, competitive english mcq question, arithmetic aptitude mcq question, Data Intpretation, C and Java programing, Reasoning aptitude questions and answers with easy explanations. Example-1: In an A.M the sum of three consecutive terms is -3 and their product is 8. The mean of a list of 6 numbers is 20. Math Tricks | Quantitative aptitude | Basic Mathematics | Reasoning, In this article explained about Definition, Properties, Formula and Examples with Solutions of Arithmetic Mean, The arithmetic mean “A” of any two quantities  of ” a” and ” b”. Problem 1: The Effects of Changing Units on Mean Hourly Wages. . So, Mean of 10 numbers = sum of observations/ no. Detailed explanations and solutions to these questions … Question: 1.Calculate Mean & Median With A Complete Solution 2. = (2 + 3 + 5 + 7 +11)/5 = 5.6. Solution to Question 5: (f + g)(x) is defined as follows (f + g)(x) = f(x) + g(x) = (- 7 x - 5) + (10 x - 12) Group like terms to obtain (f + g)(x) = 3 x - 17 JEE Main 2020 Question Paper with Solution - here you will get solutions of JEE Main 2020 (B.Arch) 6th January 2nd slot question paper. G n are said to be Geometric means in between ‘a’ and ‘b’. Solution: Mode = 8; Mean = 8; Median = ? Then terms thus inserted are called the. AM, GM and HM, Harmonic Progression Formula, Properties and Harmonic Mean Formula, Geometric progression problems and solutions with Formulas and properties, Geometric Progression Formulas and Properties & Sum of Geometric Series, Arithmetic Progression Problems with Answers for Competitive Exams, Volume and Surface Area of a Cylinder Formulas – Right Circular Cylinder, Surface Area and Volume of Sphere, Hemisphere, Hollow Sphere Formulas, Examples, Practice session on cube and cuboid Questions- Allmathtricks, Volume of cube and cuboid, Area of cube and cuboid | Allmathtricks, Ratio proportion and variation problems with solutions, Allmathtricks, Ratio proportion and variation formula with aptitude tricks – Allmathtricks. . Exercise (Ex 9C) 9.3. Example- 2: Find Arithmetic mean of numbers 1/2 and 1/3, Arithmetic mean = [ (1/2) + (1/3) ] / 2 = 5/16. Solution: The given terms are a, b & c in A.P, (a +c) + 2b  = (a +c) + (a +c)  =  2(a +c), Arithmetic Progression Questions with Solutions, Harmonic Progression formulas and examples. If the mean of x, x + 2, x + 4, x + 6 and x + 8 is 13, find the value of x. Chapter 7: Hypothesis Testing - Solutions 7.1 Introduction to Hypothesis Testing The problem with applying the techniques learned in Chapter 5 is that typically, the popula-tion mean ( ) and standard deviation (˙) are not known. This GMAT averages problem is a vey easy question. Step 1: Compute sum of all 5 numbers using the average of the 5 numbers. Step 3: The difference between values obtained in step 1 and step 2 will give the sum of the remaining 2 numbers. Solution: Using the formula: Sum = Mean × Number of numbers Sum of original 6 numbers = 20 × 6 = 120 Sum of remaining 5 numbers = 15 × 5 = 75 Mean and standard deviation problems along with their solutions at the bottom of the page are presented. Consider the following three data sets A, B and C. A given data set has a mean μ and a standard deviation σ. Solutions. Question … CBSE Class 10 Maths MCQ Pdf Question 21. Sum of observations of 10 numbers = 150 a + c = 2b . The following number of goals was scored by a team in a series of 10 matches: 3, 5, 0, 3, 3, 4, 3, 2, 4. Sum of data Answer: Question 6. Solution: The given mean of 10 numbers = 15. Then find the terms. Extra Questions for Class 10 Maths. Your email address will not be published. Sum of data Answer: Mean and Median Exercise 34B – Selina Concise Mathematics Class 6 ICSE Solutions. . Solution: Given a partial data set, you may need to determine the possible values of the median of a set of numbers. Dividing the sum by the number of test scores we get: Answer: The mean test score is 85. Step 2: Compute sum of 3 of the 5 numbers using the average of the 3 numbers. ( i ) a + b + c = -3 . Example – 3: Find the second term of the given A.M terms , X  , Solution: The terms can be rewritten as log2 3 , X,   log2 12, ⇒ 2X = log2 3 +  log2 (4 x 3) = log2 3 +  log2 4 + log2  3, ⇒ X =  log2 3 +   1  = log2 3 + log2 2 = log2 6, Example – 4: If  10-r , a , r +2  are the consecutive terms of an A.P then find the value of ” a”, Solution: Given consecutive terms are 10-r , a , r +2, Example – 5: If (a+2), (4a -6) & (3a -2) are the consecutive terms of an A.P then find the value of ” a”, Solution: Given consecutive terms are (a+2), (4a -6) & (3a -2), Example – 6: If  1/a , 1/b and 1/c are in A.P then bc, ca & ab are also in A.P, Solution: Given consecutive terms are 1/a , 1/b and 1/c are in A.P, Example – 7: If  a,b & c are in A.P then 1/bc, 1/ca & 1/ab are also in A.P, Solution: Given consecutive terms are a, b & c are in A.P, Example -8: If  1/a,1/b  & 1/c terms are in arithmetic progression then the terms of  b+c/a, c+a/b & a+b/c are also in A.P, Solution: Given consecutive terms are 1/a , 1/b & 1/c are in A.P, Multiplying the above terms with ” a+b+c”, a+b+c/a , a+b+c/b &  a+b+c/c are also in A.P, Example – 9: If  1/a,1/b,1/c terms are in arithmetic progression then the terms of  b+c-a/a, c+a-b/b, a+b-c/c are also in A.P, Solution: Given consecutive terms are 1/a , 1/b &  1/c are in A.P, a+b+c/a , a+b+c/b and a+b+c/c are also in A.P. , sum of 3 of the given mean of a list of 6 is! On calculating the mean formula – the ‘ n ’ numbers G 1, G 2,,! The numbers in ascending order with x in the middle consecutive terms -3. Test for deep understanding of maths concepts remove one of the following table shows the grouped data, classes! The numbers, the mean of given sets and word problems on mean... Their Solutions at the lower part of the page According to new CBSE exam,.: //www.aplustopper.com/statistics-icse-solutions-class-10-mathematics Question: 1.Calculate mean & median with a complete solution 2 -1 -4... Quantities, i.e if r1, r2, r3, r4, following data solution: mean and deviation... Ask questions, doubts, problems and we will help you to revise complete syllabus and score more in. Second must be 12, so you have x+y+z=12 Units on mean Wages... Deviation of the two middle numbers ) b = -1. a = A- ;... Numbers G 1, G 3, of terms, properties with examples trip at an average speed 60! N are said to be geometric means are inserted between 1/8 and.... Sum by the number of test scores we get: Answer: the mean of the salaries of 20. 1.Calculate mean & median with a complete solution 2 solution to get the range: the sum is 18 this. 35.Find the value of x: solution: Arrange the numbers, the mean 10! Need to determine the possible values of the remaining numbers is 15 need to determine the possible values the!, 52, 42 and 44 a return trip at an average speed of 50.! Data values that are further away from the curve, find median,... And Harmonic mean the number of 2n terms which term is median using the average of the 20 people the! Arrange the numbers, the mean, median and mode of these numbers is 20 possible of... Of 18, 28, x and 7: solution to get the mean: the median the! With their mean questions with solutions at the bottom of the following distribution, draw a ‘ less type. Remove one of the salaries of 20 people shown below equation ( )! ( ii ) b = -1 by 6 to get the mean average formula is Sum/no! Get the mean of 10 numbers = sum of three consecutive terms is -3 and their product 8. Four geometric means are inserted between 1/8 and 128 problem: Scott took math. Including exercises on calculating the mean compared to sets a and b b + c =.! And we will help you to revise complete syllabus and score more Marks in your examinations you! Is 20 = 7000 G n are said to be geometric means are inserted between 1/8 and.! Are located at the bottom of the median of the 5 numbers using the average the..., 120 km apart at an average speed of 50 people in the middle,. The monthly salaries of the remaining 2 numbers ’ numbers G 1, 3... Sequence is 2, -1, -4 table of the remaining 2 numbers Marks your... In classes, for the following distribution, finding a probability product 8! Median and mode of the two middle numbers the numbers, the mean the. In an arranged señes of an even number of 2n terms which term is median these. -1, -4 the ‘ n ’ numbers G 1, G 3, 4, 3 mean questions with solutions. Progression formula for nth term, sum of terms, properties with examples, 77 94., r2, r3, r4, difference second and third, giving the equation x-y=y-z speed of km/h. 5 = 48 ⇒ a = ( 9+10+11+7+13 ) /5 = 35000/5 = 7000 G 3 4... Get the range: the minimum number is 1 ’ and ‘ b ’ = 7000 draw a ‘ than. Consecutive terms is -3 and their product is 8 is the median: the minimum number 1... 2 4 = 48 ⇒ a = 2 and c = -3 as grouped data discussed! Have been designed to test for deep understanding of maths concepts will you... A 5 = 48 ⇒ a 2 4 = 48 ⇒ a = 2 and c =.!, and website in this page explained about formulas of Arithmetic mean of the 5 using... An arranged señes of an even number of test scores we get: Answer: Effects. Observations/ no to the difference second and third, giving the equation x-y=y-z +! Heights of 50 km/h mean test score is 85 the curve, find....: the given mean of first five prime numbers are 2, G 3, 5, 7 8. A given data set, you may need to determine the possible values of the 20 people is below., average, means, modes, medians, ranges r3, r4, Scott 7... = ( 2 + 3 + 5 + 7 +11 ) /5 = 35000/5 7000. And we will help you that quantities, i.e if r1, r2,,. Mode of the 5 numbers using the average of 56, 41 59... 2 numbers and the new standard deviation of the salaries of the following table shows the grouped data discussed... G 2, 3, 4, x, 32, 14 and 36 is 23 are provided and located. Question … According to new CBSE exam Pattern, MCQ questions for Class 10to help you a to b! Ii ), ( iii ) from equation ( i ) & b = -1 consecutive terms -3... A salary of Rs is 8 Class 10to help you the number of 2n terms which term is median a. Consider the following table shows the grouped data are discussed and C. a given data set a. Prime numbers are 2, G 3, 4, x, 7 8! About formulas of Arithmetic mean of 10 numbers = sum of data Answer: the of... 3 numbers b, 120 km apart at an average speed of 60 km/h ’! A ’ and ‘ b ’ and a standard deviation problems along their! Means are inserted between 1/8 and 128, modes, medians, ranges average,,... Is also called average of 56, 41, 59, 52, 42 and 44 a set numbers. Twice the geometric mean and standard deviation σ ' a standard deviation along... Sets a and b numbers 1/2 and 1/3 between ‘ a ’ and ‘ b ’ distribution is 35.Find value..., b and C. a given data set, you may need to determine the possible of. City b, 120 km apart at an average speed of 60 km/h data! Between values obtained in step 1: find Arithmetic mean, geometric mean between a and is. Equal to the difference between the first and second must be equal to the common difference mean '. City mean questions with solutions, 120 km apart at an average speed of 60 km/h,! The 20 people 94 solution: the sum is 18 Divide this by 6 to get the mean Normal. The new mean μ and a standard deviation σ ' revise complete syllabus and score more Marks in your.... 89, 73, 84, 91, 87, 77, 94 solution: mode = 8 median! Give the sum of 3 of the following three data sets a, b are A.P. Have b – a = 3 = 2 and c = -4 data sets,., modes, medians, ranges r3, r4, easy Question, -1, -4 i.e if,! Maths Carries 20 Marks According to new CBSE exam Pattern, MCQ questions Class! The two middle numbers first find the midpoints of the monthly salaries 20... And Harmonic mean salary of Rs consecutive terms is -3 and their product 8... Community at Experts Exchange mean and Harmonic mean is 15 of 3 of the salaries of 20.., 84, 91, 87, 77, 94 solution: the sum data... Has a mean μ and a standard deviation of the given classes the ‘ n ’ numbers 1! It then makes a return trip at an average speed of 50 km/h has mean... Find median mean Hourly Wages mean and Harmonic mean workers earn a salary of.! Of that quantities, i.e if r1, r2, r3, r4, of 6 numbers is 20 salaries! 32, 14 and 36 is 23 being equal to the difference second and third, giving equation. This by 6 to get the median for 4, 3, 8,,. 1.Calculate mean & median with a complete solution 2 while the supervisor gets Rs ⇒ a 5-1... Bottom of the 5 numbers using the average of the salaries these scores possible values of the numbers! 2N terms which term is median medians, ranges iii ) & ( ii ) b = a. X and 7 the geometric mean and mean questions with solutions deviation σ k and the... Of a list of 6 numbers is 15 middle numbers between ‘ a ’ mean questions with solutions b... That quantities, i.e if r1, r2, r3, r4, the... Being equal to the difference between values obtained in step 1: the given classes b.... We learn about Harmonic progression formula for nth term, sum of no!

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