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By Team Aakash Byju's | 20th November 2022

A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the classes is constructed for the following data:

The number of classes in the distribution will be :

Detailed Explanation

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[{"selector":"#anim-a52f1bca-f10a-4101-bd3d-91d4a62f544e","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9512fc1e-c346-4e84-a228-1bbfe37a745f","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-961119d4-c6d0-4020-9c4b-82d3979b936d","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e8b6ef56-30aa-4a12-bfeb-1f5cfe11eedc","keyframes":{"transform":["translate3d(-115.45741%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Range = Highest value − Lowest value => Range = 112 − 14 = 98 From the given frequency distribution, find the range of the data points.

[{"selector":"#anim-da37f5b0-3a7e-4a55-95a4-e10318ab80d9","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4c9d50bf-0f71-4bee-98f6-72266cb2775b","keyframes":{"transform":["translate3d(-115.92356%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c9ae8819-1666-4d07-a95e-5cd29f8b11e2","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-693af4a5-0703-4e51-b05c-7e8190ca8038","keyframes":{"transform":["translate3d(-114.98423%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-245031b6-b1a7-4e96-b8ff-2f940543e7bd","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-56ef5463-bd85-4bce-9881-1313295dc9c2","keyframes":{"transform":["translate3d(-117.15211%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Thus, the number of classes in the given frequency distribution will be Number of classes = (range of data points) ÷ (range of classes) Number of classes = 98 ÷ 10 = 9.8 ≈ 10

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[{"selector":"#anim-b4e85de4-8012-417a-bfef-326c91c9478f","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-12a2ee87-5b1a-442e-8873-5a764d885f4f","keyframes":{"transform":["translate3d(-158.4071%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-ce51fdf7-2af6-41ad-b274-1bdcc9d6316f","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3c943895-61bb-44c4-9ef5-a35d577a30bc","keyframes":{"transform":["translate3d(138.85349%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2a8fbebb-4596-41f7-853e-b443732abc80","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-a489ac73-d4d8-438f-a302-62d8b87e5db2","keyframes":{"transform":["translate3d(-162.16215%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-df548b2a-30a2-4e0a-b93e-fa73d76d508b","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-90e3f860-0d26-4783-a730-05db7d9e1d9d","keyframes":{"transform":["translate3d(137.73586%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Obtuse-Angled Triangle Notes for NCERT Maths Revision Different Types of Matrices in Mathematics With Examples Download Aakash App Now

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How to Find the Number of Classes in a Distribution?

A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the classes is constructed for the following data:

The number of classes in the distribution will be :

A) 7

B) 9

C) 11

D) 18

Detailed Explanation

The correct answer is B) 9

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