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![maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_185459_1913881c_1773454876584_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=584_sc.jpg "maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat")
![grammer - PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_658125_2fa71c54_1773368625271_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=271_sc.jpg "grammer - PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: - ShareChat")
![neet - Muble Jలtuzatim SmbaNt షuouNg | pxp % Plax ( fgaoboaw Pkaneodand ) tne Two 7೮೬ SyNGAY Taple fuuen] + +e Se NPN embu0 ehopom ^~@_ T Muble Jలtuzatim SmbaNt షuouNg | pxp % Plax ( fgaoboaw Pkaneodand ) tne Two 7೮೬ SyNGAY Taple fuuen] + +e Se NPN embu0 ehopom ^~@_ T - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_120165_16f37678_1773305033874_sc_rotated.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=otated.jpg "neet - Muble Jలtuzatim SmbaNt షuouNg | pxp % Plax ( fgaoboaw Pkaneodand ) tne Two 7೮೬ SyNGAY Taple fuuen] + +e Se NPN embu0 ehopom ^~@_ T Muble Jలtuzatim SmbaNt షuouNg | pxp % Plax ( fgaoboaw Pkaneodand ) tne Two 7೮೬ SyNGAY Taple fuuen] + +e Se NPN embu0 ehopom ^~@_ T - ShareChat")
![📖बैंकिंग की तैयारी - Present Participle to run driving / running PAST ron / nte sleep slept 10 to fish Past Participle "He rqn to school. eaten '410" + buse verb . driven used in PRESENT = INFINITIVE continuous PARTICIPLES eats / sleeps (to verb) ruIS tenses' used in perfect /passive] TENSES (oHe runs [0' school ' FUTURE Transitive verb will sleep needs object will eat Will run OBJECT CHe will run to school TRANSITIVE / INTRANSITIVE "She cooked the [00d' Intrunsitive verb no object Grammar: VERB CONJUGATION The baby slept VERBS person >1/ We Direct 2nd person You Object OBJECT The verb Is the most 3rd person He/She [ndirect' important part of a sentence] They Object No sentence is complete verb form changes "Ram gave her d present wilhout verb with subject Who? | What ? after verb VOICE SUBJECT-VERB AGREEMENT ACTIVE subject does action C ACTIONSTATE ? He/She/It -> verb Active: "She wrote q book RRR I/We They bere State of being Action verbs action done PASSIVE to subject Write, is, am, ore "She run, runs' eat #They Passive A book Was WdS , were run written bu her ' Present Participle to run driving / running PAST ron / nte sleep slept 10 to fish Past Participle "He rqn to school. eaten '410" + buse verb . driven used in PRESENT = INFINITIVE continuous PARTICIPLES eats / sleeps (to verb) ruIS tenses' used in perfect /passive] TENSES (oHe runs [0' school ' FUTURE Transitive verb will sleep needs object will eat Will run OBJECT CHe will run to school TRANSITIVE / INTRANSITIVE "She cooked the [00d' Intrunsitive verb no object Grammar: VERB CONJUGATION The baby slept VERBS person >1/ We Direct 2nd person You Object OBJECT The verb Is the most 3rd person He/She [ndirect' important part of a sentence] They Object No sentence is complete verb form changes "Ram gave her d present wilhout verb with subject Who? | What ? after verb VOICE SUBJECT-VERB AGREEMENT ACTIVE subject does action C ACTIONSTATE ? He/She/It -> verb Active: "She wrote q book RRR I/We They bere State of being Action verbs action done PASSIVE to subject Write, is, am, ore "She run, runs' eat #They Passive A book Was WdS , were run written bu her ' - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_473161_2a91f920_1773241467020_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=020_sc.jpg "📖बैंकिंग की तैयारी - Present Participle to run driving / running PAST ron / nte sleep slept 10 to fish Past Participle \"He rqn to school. eaten '410\" + buse verb . driven used in PRESENT = INFINITIVE continuous PARTICIPLES eats / sleeps (to verb) ruIS tenses' used in perfect /passive] TENSES (oHe runs [0' school ' FUTURE Transitive verb will sleep needs object will eat Will run OBJECT CHe will run to school TRANSITIVE / INTRANSITIVE \"She cooked the [00d' Intrunsitive verb no object Grammar: VERB CONJUGATION The baby slept VERBS person >1/ We Direct 2nd person You Object OBJECT The verb Is the most 3rd person He/She [ndirect' important part of a sentence] They Object No sentence is complete verb form changes \"Ram gave her d present wilhout verb with subject Who? | What ? after verb VOICE SUBJECT-VERB AGREEMENT ACTIVE subject does action C ACTIONSTATE ? He/She/It -> verb Active: \"She wrote q book RRR I/We They bere State of being Action verbs action done PASSIVE to subject Write, is, am, ore \"She run, runs' eat #They Passive A book Was WdS , were run written bu her ' Present Participle to run driving / running PAST ron / nte sleep slept 10 to fish Past Participle \"He rqn to school. eaten '410\" + buse verb . driven used in PRESENT = INFINITIVE continuous PARTICIPLES eats / sleeps (to verb) ruIS tenses' used in perfect /passive] TENSES (oHe runs [0' school ' FUTURE Transitive verb will sleep needs object will eat Will run OBJECT CHe will run to school TRANSITIVE / INTRANSITIVE \"She cooked the [00d' Intrunsitive verb no object Grammar: VERB CONJUGATION The baby slept VERBS person >1/ We Direct 2nd person You Object OBJECT The verb Is the most 3rd person He/She [ndirect' important part of a sentence] They Object No sentence is complete verb form changes \"Ram gave her d present wilhout verb with subject Who? | What ? after verb VOICE SUBJECT-VERB AGREEMENT ACTIVE subject does action C ACTIONSTATE ? He/She/It -> verb Active: \"She wrote q book RRR I/We They bere State of being Action verbs action done PASSIVE to subject Write, is, am, ore \"She run, runs' eat #They Passive A book Was WdS , were run written bu her ' - ShareChat")
