If the difference of mode and median of a data is 24

Given: Mode - Median = 24 Formula Used: Mean – Mode = 3 (Mean – Median) Calculation: We have,Mode - Median = 24 ⇒Mode = Median + 24 -----(i) Now, From the formula used and equation (i) Mean – Mode = 3 (Mean – Median) ⇒Mean – (Median + 24) =3 (Mean – Median) ⇒Mean –Median - 24 = 3 Mean - 3 Median ⇒ 2 Median - 2 Mean = 24 ⇒ 2 (Median -Mean) = 24 ⇒ Median -Mean = 24/2 ⇒Median -Mean = 12 ∴ Therequired difference is 12.

• • NCERT: Text Format • • • • • • • • • • • • • Rationalised NCERT • • • • • • • • • • • • • Old NCERT (2015) • • • • • • • • • • • • • Lab Manuals & Kits • • e-Books for UPSC • • Android App • • NCERT Books • • • • • • • • • H. C. Verma • • • Lakhmir Singh • • • • • • • • • R. D. Sharma • • • • • • • • R. S. Aggarwal • • • • • • • All in One • • • • • • • • • Evergreen Science • • • Together with Science • • • Xam Idea 10 th Science • • Classroom Courses • • • • • • • UPSC Exams • • Teaching • • Banking • • • Hair Accessories • Jewellery • Stationery • Lunch Boxes • • Explore Store Difference of mode and median, mode - median = 24 …[1] We know that empirical relation between mean, median and mode is Mode = 3 Median - 2 Mean ⇒ 3 Mode - 2 Mode = 3 Median - 2 Mean ⇒ 3 Mode - 3 Median = 2 Mode - 2 Mean ⇒ 3(Mode - Median) = 2(Mode - Mean) From [1] we have 3(24) = 2(Mode - Mean) ⇒ Mode - Mean = 36 …[2] on substracting [1] from [2] Mode - Mean - (Mode - Median) = 36 - 24 Mode - Mean - Mode + Median = 8 Median - Mode = 8 Hence, difference between median and mode is 8.

Important Important Important Important Important Important Important Important Important You are here Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Transcript Question 14 If the difference of Mode and Median of a data is 24, then the difference of median and mean is (a) 8 (b) 12 (c) 24 (d) 36 Given difference of Mode and Median of a data is 24 Mode − Median = 24 We know that 3 Median = Mode + 2 Mean Subtracting Median both sides 3 Median − Median = Mode + 2 Mean − Median 2 Median = Mode − Median + 2 Mean Putting Mode − Median = 24 2 Median = 24 + 2 Mean 2 Median − 2 Mean = 24 2 (Median − Mean) = 24 Median − Mean = 24/2 Median − Mean = 12 So, the correct answer is (b) Show More

More • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

14. If the difference of Mode and Median of a data is 24 , then the difference of median and mean is: (a) 8 (b) 12 (c) 24 (d) 36 1 Ans. (b) 12 Explanation: Since, Mode = 3 Median − 2 Mean ⇒ Mode = 2 Median + Median − 2 Mean ⇒ Mode − Median = 2 Median − 2 Mean ⇒ Mode − Median = 2 (Median − Mean ) ​ Given, Difference of mode and median of a data is 24 ∴ 24 = 2 (Median - Mean) ⇒ Median - Mean = 12 ​ Views: 5,398 A BC D is a trapezium with A B ∥ D C. If △ A E D is similar to △ BEC, crove that A D = BC. soLUTION In △ E D C and △ EB A, we have ∠1 = ∠2 ∠3 = ∠4 ​ [Alternate angles] [Alternate angles] and, ∠ CE D = ∠ A EB [Vertically opposite angles] So, by using AAA-criterion of similarity, we obtain △ E D C − △ EB A ⇒ EB E D ​ = E A EC ​ ⇒ EC E D ​ = E A EB ​ Itis given that △ A E D ∼ △ BEC ⇒ EC E D ​ = EB E A ​ = BC A D ​ (ii) 14. If the difference of Mode and Median of a data is 24 , then the difference of median and mean is: (a) 8 (b) 12 (c) 24 (d) 36 1 Ans. (b) 12 Explanation: Since, Mode = 3 Median − 2 Mean ⇒ Mode = 2 Median + Median − 2 Mean ⇒ Mode − Median = 2 Median − 2 Mean ⇒ Mode − Median = 2 (Median − Mean ) ​ Given, Difference of mode and median of a data is 24 ∴ 24 = 2 (Median - Mean) ⇒ Median - Mean = 12 ​ Updated On Feb 5, 2023 Topic All topics Subject Mathematics Class Class 10 Answer Type Video solution: 1 Upvotes 58 Avg. Video Duration 1 min

• • NCERT: Text Format • • • • • • • • • • • • • Rationalised NCERT • • • • • • • • • • • • • Old NCERT (2015) • • • • • • • • • • • • • Lab Manuals & Kits • • e-Books for UPSC • • Android App • • NCERT Books • • • • • • • • • H. C. Verma • • • Lakhmir Singh • • • • • • • • • R. D. Sharma • • • • • • • • R. S. Aggarwal • • • • • • • All in One • • • • • • • • • Evergreen Science • • • Together with Science • • • Xam Idea 10 th Science • • Classroom Courses • • • • • • • UPSC Exams • • Teaching • • Banking • • • Hair Accessories • Jewellery • Stationery • Lunch Boxes • • Explore Store Difference of mode and median, mode - median = 24 …[1] We know that empirical relation between mean, median and mode is Mode = 3 Median - 2 Mean ⇒ 3 Mode - 2 Mode = 3 Median - 2 Mean ⇒ 3 Mode - 3 Median = 2 Mode - 2 Mean ⇒ 3(Mode - Median) = 2(Mode - Mean) From [1] we have 3(24) = 2(Mode - Mean) ⇒ Mode - Mean = 36 …[2] on substracting [1] from [2] Mode - Mean - (Mode - Median) = 36 - 24 Mode - Mean - Mode + Median = 8 Median - Mode = 8 Hence, difference between median and mode is 8.

We and our partners use cookies to Store and/or access information on a device. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. An example of data being processed may be a unique identifier stored in a cookie. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. The consent submitted will only be used for data processing originating from this website. If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page.. Important Important Important Important Important Important Important Important Important You are here Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Important Transcript Question 14 If the difference of Mode and Median of a data is 24, then the difference of median and mean is (a) 8 (b) 12 (c) 24 (d) 36 Given difference of Mode and Median of a data is 24 Mode − Median = 24 We know that 3 Median = Mode + 2 Mean Subtracting Median both sides 3 Median − Median = Mode + 2 Mean − Median 2 Median = Mode − Median + 2 Mean Putting Mode − Median = 24 2 Median = ...

Given: Mode - Median = 24 Formula Used: Mean – Mode = 3 (Mean – Median) Calculation: We have,Mode - Median = 24 ⇒Mode = Median + 24 -----(i) Now, From the formula used and equation (i) Mean – Mode = 3 (Mean – Median) ⇒Mean – (Median + 24) =3 (Mean – Median) ⇒Mean –Median - 24 = 3 Mean - 3 Median ⇒ 2 Median - 2 Mean = 24 ⇒ 2 (Median -Mean) = 24 ⇒ Median -Mean = 24/2 ⇒Median -Mean = 12 ∴ Therequired difference is 12.

14. If the difference of Mode and Median of a data is 24 , then the difference of median and mean is: (a) 8 (b) 12 (c) 24 (d) 36 1 Ans. (b) 12 Explanation: Since, Mode = 3 Median − 2 Mean ⇒ Mode = 2 Median + Median − 2 Mean ⇒ Mode − Median = 2 Median − 2 Mean ⇒ Mode − Median = 2 (Median − Mean ) ​ Given, Difference of mode and median of a data is 24 ∴ 24 = 2 (Median - Mean) ⇒ Median - Mean = 12 ​ Views: 6,003 7 5 ∘ , 9 0 ∘ and 7 5 ∘. Find the measure of 2. The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find the angles. 3. In the adjoining figure, A BC D is a trapezium in which A B ∥ D C. If ∠ A = 5 5 ∘ and ∠ B = 7 0 ∘, iind ∠ C and ∠ D. 4. In the adjoining figure, A BC D is a square and △ E D C is an equilateral triangle. Prove that Views: 5,253 Q ( 0 , 1 ) is equidistant from P ( 5 , − 3 ) and R ( x , 6 ), find the values of x. Also find the Draw distances QR and PR. 10. Find a relation between x and y such that the point ( x , y ) is equidistant from the point ( 3 , 6 ) and ( − 3 , 4 ) 7.3 Section Formula Let us recall the situation in Section 7.2. Suppose a telephone company wants to 14. If the difference of Mode and Median of a data is 24 , then the difference of median and mean is: (a) 8 (b) 12 (c) 24 (d) 36 1 Ans. (b) 12 Explanation: Since, Mode = 3 Median − 2 Mean ⇒ Mode = 2 Median + Median − 2 Mean ⇒ Mode − Median = 2 Median − 2 Mean ⇒ Mode − Median = 2 (Median − Mean ) ​ Given, Difference of mode and median of a data is 24 ∴ 24 = 2 (Median - Mean) ⇒...

More • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •