5

Calculate the standard deviation from the following data: Marks 10 20 30 40 50 60 No. of 8 12 20 10 3 students...

Question

Calculate the standard deviation from the following data: Marks 10 20 30 40 50 60 No. of 8 12 20 10 3 students

Calculate the standard deviation from the following data: Marks 10 20 30 40 50 60 No. of 8 12 20 10 3 students



Answers

Find the mean deviation about median for the following data : $$ \begin{array}{|c|c|c|c|c|c|c|} \hline \text { Marks } & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 \\ \hline \begin{array}{c} \text { Number of } \\ \text { Girls } \end{array} & 6 & 8 & 14 & 16 & 4 & 2 \\ \hline \end{array} $$

Hell in this problem we have to find main invariance by using the given data. So here we have given the following table. First of all, we will find the mid values that is X I. So we get five 15, 25 35 and 45. Let assumed mean as equals two 25. So in order to find the mean, first of all, we will find you Y which is equal to X I minus assumed mean Upon 10. So we get EYS minus two minus one 01 two. Now we will find a fi you Y it would be five into -2 is -10 18 to -1 is -8, 15 in 2, 0 is zero 16 into one is 16 and six into 2 is 12. Similarly, we will find similarly, we will find a fire you a square. So we get 20 seat zero 16 and 24. The submission of F i U I is then and The submission of FIUS Square is 68. Now we know that Mean as equals two assumed mean plus sigma, F I U Y. Upon submission of F I into age here edges the height of the class interval by substituting the known will use we get Mean as equals two 25 plus 10 appoints stay into 10 by simplifying it. We get 25 Plus two which is equals to 27. Now we will find variance. We know that variances equals two hide square a bone and square and do and into sigma. F I U I square minus sigma. F I U Y who square by substituting the known will use we get penn square are born 50 square into 15: 68 -10 sq. By simplifying it. We get 100 upon 2500 Into 30 400 0. It would be equals two. Run upon 25 into 3300, Which is equals two, 132. Hence we get me as equals two. Mhm. 27 variances equals two 132.

Here in this problem, we have to find the main division about me by using the given data. So here we have given X I and F I now, in order to find the main deviation about main. First of all, we will find the main for that we have to find a fi exile. So here we have 10 into four is 40, 13-24 is 7, 20, 15 to 28 is 1400 17 to 16 is 1120 and 19-8 is 720, And the submission of FIXi is 4000. Now we know that mean is equal to yeah, one upon and sigma, if I x I there I goes from one to and by substituting the known values, we get one upon 80 into 4000 As equals to 15. Now we will find the value of absolute deviation from the mean, that is excited minus 15. Since here we are finding the absolute values, so we will ignore the negative sign. So we get 10 -50 is 40, 30 -50 years, 20 50 -50 is 0, -50 years, 20 and 90 -50 is 14. Now, in order to find the mean division about me, we will find, if I ever do deviation about me, It would be 14-4, is 160 20 to 24 is 480 zero into 28, zero, 29-16 is 320 and 14- eight. A 320. And the submission of this function is 12, Now, we know that main division about mean is it was too yeah, run upon end into cigna if I into X, I minus mean, bad, I goes from one to win. Now by substituting the known values, we get main deviation about mean is equal to one upon a day into 1280, it would be equal to 16. Therefore, we get main division about mean is equal to 16

Okay. In this question, we are given the frequency distribution of marks of 28 students. Okay, so they are totally 28 students. So total frequency adds up to 28. Okay, so a question about what will be obtained from this, that is six plus X plus y. Plus six Comes out 28. Okay, so X plus y comes out to be 16. Okay, this is the equation number one. Uh in this question we need to find the difference of X and Y. For that. First of all, we need to find X and Y. Okay. So for finding X and I will be needing to conditions because there are two variables. So first condition is this and for second condition, we are given that mean of the data, Mean of the data is equal to 20. Okay. So how will find the me? That is frequency And to the middle time of the class. Okay. The middle time of the classes here, five and frequency is six. Similarly the middle time for next one is 15, and frequency is X. the middle time for third class is 25. In frequency is by Plus 35 and 2 6. This is uh some and varied by 28. This comes out to be the mean. Okay so from here we'll get another condition which comes out to be three X plus five by is equal to 64. Okay so let's say this is our request number two. Now uh what we'll do is we'll multiply equation number one by three. Okay. To eliminate X. Using elimination method, Multiplying the situation number one with three. What do we get this? Three eggs last three by is equal to 48. Okay so I'll just uh subtract these two equations to eliminate X. So what I get is two, Y is equal to 16. Okay, so from here the value of Y comes out to be eight, and if I put this value of Y in the in any of the equation, so X comes out to be eight. Okay. And now where are the difference of X and Y is the difference of X and Y. It comes out to be zero. Okay, so this is a answer. Thank you.

For the mean. What we're going to be essentially doing is adding up all the numbers. So sex plus one post nine post Hope was for plus 15 plus 21 does, and then we're going to be dividing by the number of numbers. So in the problem, we have 10 numbers, which gives 91 Overton, which is equivalent to 9.1. Okay, now we're gonna be looking at the second part of the question. So for this, we know that we're gonna be looking at standard deviation as they specified. So what we would do is we know that we would have each of the we know that we would have each of the numbers. Um, the sand aviation. Essentially, we're looking at the differences and ranges between each number. So what we would do for that we would use the standard deviation formula listed in the textbook and the the symbol for staring deviation. It looks like a little circle. As you will see in the textbook. I'm looking at it. And so when we plug it and, uh, we've got into the square root, then we end up with a standard deviation off 5.41 And then once we've got this, now we're looking at the differences between we know this is the San Deviation. Like I said, the difference between each number And so when we When we plugged into the square root we had, for example, all the numbers squared. So negative 3.1 squared, plus a night of 8.1 squared the stupid nine squares. We did that in the square root again. Were you looking at the number of numbers? There's 10 numbers, so when we get that, we get 5.41


Similar Solved Questions

5 answers
4, (20 pta;) Ca culate the terated integral J8 er-vdydz:(20 pts; Find the vclune cf the gclid bcunded by 2 = 4-2,4? = 4r, and the zy-plane, (As check, ty dcsng #he integra} iv }oth crders )
4, (20 pta;) Ca culate the terated integral J8 er-vdydz: (20 pts; Find the vclune cf the gclid bcunded by 2 = 4-2,4? = 4r, and the zy-plane, (As check, ty dcsng #he integra} iv }oth crders )...
5 answers
If Kj ad Kz are compact with K; € Kz then m(Kj) < m(Kz)
If Kj ad Kz are compact with K; € Kz then m(Kj) < m(Kz)...
5 answers
Do Homtron DancenoshenROT HMohttps /hwww mathxlcom/ StudentyPlaverHlomework aspx?ho eworalon 4474313 4 GqueslionldHomework: Section 3.3 Homework Score: 0 of - 3.3.101Find coplex Zeros 0l Ihe polyncl & WuncionAxac vallas Lisl multiple zeroslecessant(x)=x519x3 50x2Al complex zeros (Type oxact answcr using radicals andneeded Use comme"separale anskelsneeded ) eend
Do Homtron Dancenoshen ROT HMo https /hwww mathxlcom/ StudentyPlaverHlomework aspx?ho eworalon 4474313 4 Gqueslionld Homework: Section 3.3 Homework Score: 0 of - 3.3.101 Find coplex Zeros 0l Ihe polyncl & Wuncion Axac vallas Lisl multiple zeros lecessan t(x)=x5 19x3 50x2 Al complex zeros (Type ...
5 answers
Use the References aCcCss important values if needed for this question_Use the pull-down boxes to specify states such as (aq) or (s)Ifa box is not needed leave it blankIf no reaction occurs leave all boxes blank and click on "Submit" .Use H;o for hydronium ion_Write net ionic equation for the reaction that occurs when excess hydrochloric acid (aq) and chromium(I) sulfide are combined,Submlt AnswerRetry Entlre Groupmore group attempts remalning
Use the References aCcCss important values if needed for this question_ Use the pull-down boxes to specify states such as (aq) or (s) Ifa box is not needed leave it blank If no reaction occurs leave all boxes blank and click on "Submit" . Use H;o for hydronium ion_ Write net ionic equation...
5 answers
Problem (1): Consider the following lincar- first-order differential equation: 2y' + 6y = 12, Solve the given linear first-order differential equation: Find the solution of the given differential equation with initial condition: y(0) =7.
Problem (1): Consider the following lincar- first-order differential equation: 2y' + 6y = 12, Solve the given linear first-order differential equation: Find the solution of the given differential equation with initial condition: y(0) =7....
5 answers
In Theorem 8.1 , we required that the Jacobian be nonzero. To see why this is necessary, consider a transformation where $x=u-v$ and $y=2 v-2 u .$ Show that the Jacobian is zero. Then try solving for $u$ and $v$.
In Theorem 8.1 , we required that the Jacobian be nonzero. To see why this is necessary, consider a transformation where $x=u-v$ and $y=2 v-2 u .$ Show that the Jacobian is zero. Then try solving for $u$ and $v$....
1 answers
Graph the inequality. Express the solution in a) set notation and b) interval notation. $$ k \leq 2 $$
Graph the inequality. Express the solution in a) set notation and b) interval notation. $$ k \leq 2 $$...
5 answers
If a ball is thrown vertically upward with velocity of 128 ft/s, then its height after seconds is128t 1602_What the maximum height reached by the ball?What the velocity of the ball when Is 240 above the ground on Its Woy up? (Consider up ft/sbe the positive direction:)What the velocity it/sthe ball when240 ft above the ground on its way down?
If a ball is thrown vertically upward with velocity of 128 ft/s, then its height after seconds is 128t 1602_ What the maximum height reached by the ball? What the velocity of the ball when Is 240 above the ground on Its Woy up? (Consider up ft/s be the positive direction:) What the velocity it/s the...
1 answers
Estimate each answer. What is $20 \%$ of $346 ?$
Estimate each answer. What is $20 \%$ of $346 ?$...
5 answers
Jse your calculetor to evaluate: a) 121b) 1C6c) 4PzoJnd to 4 Decimal Placestotta al Mrent s hsnre , (o Ihr: Mrit .
Jse your calculetor to evaluate: a) 121 b) 1C6 c) 4Pzo Jnd to 4 Decimal Places totta al Mrent s hsnre , (o Ihr: Mrit ....
5 answers
Nailc Use the lcms JDate]Uhe naMC Ofihe Ia cruncopc partson the lings below(hole in stage)
Nailc Use the lcms J Date] Uhe naMC Ofihe Ia cruncopc partson the lings below (hole in stage)...
5 answers
A Notebook is sold at a cash price of IDR 25,C OOO,000 or can be paidt in 5 installments monthly paid at the end of each month: Ifthe shop uses an annual interest rate of 30% converted on monthly basis. Make a complete table of payment using a. Sinking Fund Schedule
A Notebook is sold at a cash price of IDR 25,C OOO,000 or can be paidt in 5 installments monthly paid at the end of each month: Ifthe shop uses an annual interest rate of 30% converted on monthly basis. Make a complete table of payment using a. Sinking Fund Schedule...
5 answers
QUESTION 32Whal is the pH of & solution 0l 0 60 M CH3CO2H and 0 015 M NaCH3CO2? CH3eozH (oq) + H2O ( = H3O" (aq) CH3CO2" (aq) Ka = 1 8 * 10-5
QUESTION 32 Whal is the pH of & solution 0l 0 60 M CH3CO2H and 0 015 M NaCH3CO2? CH3eozH (oq) + H2O ( = H3O" (aq) CH3CO2" (aq) Ka = 1 8 * 10-5...
4 answers
A) Find the electric field a distance : above one end of straight line segment of length L; which carries a uniform line chargeA: (Qnly give theanswer without solving theintegrals)B) Check that your formula is consistent with what you would expect tor the case L. Where the calculated electric field is given as followsJ4jlsl
A) Find the electric field a distance : above one end of straight line segment of length L; which carries a uniform line chargeA: (Qnly give theanswer without solving theintegrals) B) Check that your formula is consistent with what you would expect tor the case L. Where the calculated electric field...
5 answers
Balance the equation in basic conditions. Phases are optional.equation: | CoClz Naz- 02Co(OH); + Cl- + Nat
Balance the equation in basic conditions. Phases are optional. equation: | CoClz Naz- 02 Co(OH); + Cl- + Nat...
5 answers
Hom < @ot Ir Let A (4 -1) Cm4 eger Volues @n J Cof ( e $ Fn4s icsen Nectsts Qs mafrix E Such # Fin non 642" D_ ?A P 4i5'- 0 Fina AS (usis DLet A =3. chencte= Cistic Fow minimzl 4nonfsls ol Aeach
Hom < @ot Ir Let A (4 -1) Cm4 eger Volues @n J Cof ( e $ Fn4s icsen Nectsts Qs mafrix E Such # Fin non 642" D_ ?A P 4i5'- 0 Fina AS (usis D Let A = 3. chencte= Cistic Fow minimzl 4nonfsls ol Aeach...

-- 0.023261--