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@Ibisofficial so delighted to read your awesome comment... Thank you so much for the appreciation... Really means a lot!! 😊😊😊👍👍

@@EnjoyMath You deserved this mam, it helped a lot. It would mean a lot more to me.

@sameehahtasneem3770 thank you so much for the wonderful compliment.... Really happy that you found the video useful!!! 😊😊👍👍👍

@@noaman3756 if the values of xi Or class marks are small, then the normal direct method is used... If the xi values are bigger, then we can choose between assumed mean and step deviation.... Step deviation is very convenient... Only problem is that xi-A should be a multiple of the class size h.. Otherwise it will be more complicated then the direct method itself.... If xi-A is not a multiple of h, we can use assumed mean method.... Pls let me know if you have any questions....

@@EnjoyMath oh okay got it thank you so much. I don’t really understand how to find the central value of xi. It is confusing when the number of tables is even. After picking 2 middle terms am I supposed to pick the one with the higher frequency? For example: fi = 4, 9, 9, 2, 4, 2 xi = 0.02, 0.6, 0.10, 0.14, 0.18, 0.22 Is the middle term(a) supposed to be 0.14 or 0.10? as 0.10 has higher frequency

@@noaman3756 any xi value can picked as value of assumed mean A.... But if we take the xi from the middle class interval as A, our calculations will be simpler.... If number of class intervals is even, then any of the 2 middle terms can be taken.... It won't make any difference in the final answer.... It's not a rule we have to choose that term with highest frequency.... Any term we can choose..... Pls let me know if you have any questions...

@@EnjoyMath thank you so much you’re amazing!!

@@bantipandit8020 most welcome!! Really happy to be of help!! 👍👍👍

@@DeepaN-v8m most welcome!! Happy to be of help!! Really Sorry, currently making videos for 10 to 12 std only... 🙏🙏🙏

@@AnkitaTrivedi-g5o So delighted to read your wonderful comment!! Thank you so much! Really happy that you found the video useful!! 😊😊👍👍👍

Definitely...will try my best...thanks so much for the suggestion....any particular question or sub topic you have in mind ?

Most welcome!! really happy that you found the video useful!!😊😊👍👍

That will be a horizontal bar graph👍👍

Ma'am I have one more doubt

Prove that: (1+tan^2A)+(1+1/tan^2A)=1/sin^2A-sin^4A.

Most welcome!! Very happy to be of help!!😊😊👍👍

Will try my best...👍👍

Thank you ma'am 🙏

@@nitsnegiyoga6699 that's absolutely correct...v nice!!👍👍yes, I have made a calculation mistake...pls see my pinned comment 👍👍👍

Most welcome!! Very glad that you found the video useful!!😊😊👍👍

@@harisshafi5713 thank you so much for the appreciation!! really happy to be of help!! 😊😊👍👍

Most welcome!! really happy that you found the video useful!!👍👍👍

Thank you so much for the wonderful comment!!very happy to be of help!!😊😊👍👍

Hello ma'am, I can understand your concern and appreciate your effort to help your child....pls let me know how I can be of help to you...

Thank you so much for the appreciation!! 😊😊👍👍

That's awesome!! Thank you so much for the wonderful comment...Really happy that you found the video useful!!😊😊👍👍

Thank you so much for the wonderful feedback... really happy that you found the video useful!!😊😊👍👍

Thank you so much for the appreciation!! really means a lot!!😊😊👍👍

Most welcome!! Yes... absolutely right....I have incorrectly written sinA instead of cos A ..thank you so much for the letting me know....😊😊👍👍👍

That's so good to know!! thank you so much for the appreciation .... really happy that you found the video useful!!😊😊👍👍👍

Thank you so much for the lovely compliment!! Really means a lot....very happy that you found the video useful!!😊😊😊👍👍

@IshaDas-u4u thank you so much for the appreciation!! Really happy that you found the video useful!! 😊😊👍👍👍

@@jstnmgln we cancelled the common factor of 20 and 32 , which is 4....when we divide 20 by 4 we get 5 and when we divide 32 by 4 we get 8....pls let me know if you have any questions...

@@chandrasekarcchandrasekarc8710 definitely,will try my best.... Thanks a lot for the video suggestion.... 👍👍👍

Thank you so much for the appreciation... really happy that you found the video useful!!!😊😊😊👍👍

That's brilliant!! Delighted to read your wonderful feedback.... thank you so much!!😊😊👍👍👍

Thank you so much for the appreciation !! really happy that you found the video useful!!😊😊👍👍

Thank you so much for the awesome feedback.... really means a lot!!😊😊👍👍👍

Yes, A can be any class mark value...not necessarily the class mark of middle most class interval...but if we take A as class mark of middle most class,then calculations are easier..pls let me know if you have any questions...

Ye s

Thank you so much for the appreciation!! really happy that the videos are helping you....😊😊😊👍👍

Most welcome... really happy that you found the video useful!!😊😊👍👍

That's so awesome to know....thank you so much for the wonderful feedback.... really means a lot!! Very glad to be of help!!😊😊👍👍

@@RabindranathGharami-d2q if the highest frequency is the last value, i have mentioned in the same video how to solve... Pls check and let me know if you have any questions...

That's so good to read!!thank you so much for the wonderful comment.... really happy that you found the video useful....yes,these formulae will be useful for Integration....I am sure you will do really well in your exams..all the very best!! 😊😊😊👍👍

@EnjoyMath thank u

Thank you so much for the appreciation... really glad to be of help!!😊😊👍👍

Most welcome!! really happy that you found the video useful!!😊😊😊👍👍

Very sorry to know that....🙏🙏 Which part do you find tough in matrices?

Most welcome!! Aapko video useful laga...very happy about that ...all the best in your engineering exams 😊😊👍👍👍

@EnjoyMath TQ

Thank you so much for the awesome feedback.... really happy to be of help!! 😊😊👍👍