0000002556 00000 n Measures of Central Tendency 1. Describing Data: Measures of Central Tendency and Dispersion I n the previous chapter we discussed measurement and the various levels at which we can use measurement to describe the extent to which an individual observation possesses a particular theoretical construct. It is obtained by dividing the sum of all observation in a series by the total number of observation. Simple to calculate. Section 3.1 Measures of Central Tendency: Mode, Median, and Mean 77 Median PROCEDURE HOW TO FIND THE MEDIAN The median is the central value of an ordered distribution. 0000002372 00000 n 4] Capable of further mathematical calculations. n�3ܣ�k�Gݯz=��[=��=�B�0FX'�+������t���G�,�}���/���Hh8�m�W�2p[����AiA��N�#8$X�?�A�KHI�{!7�. In this chapter, you will study the measures of central tendency which is a numerical method to explain the data in brief. It is defined as the middle value of the series, when the data is arranged in ascending or descending order. It should be easy to understand. 0000038214 00000 n 0 0000002810 00000 n 0000000016 00000 n Rigidly defined. �q}������k��R�����ߛ�֊�T�jp����c�5��+�h�_��#,��h�`���ۊZ��L��=�������j�S�k�Y�0!��$��N[}��&F���4X�w/ $%�w�� 0000002510 00000 n Values to be arranged are given varying importance. Average: It is a value which is typical or representative of a set of data. • When a distribution contains a few extreme scores (or is very skewed), the mean will be pulled toward the extremes (displaced toward the tail). 0000002887 00000 n N'��)�].�u�J�r� ii] Facilitates comparison. J�`�;lf�]��dO��T0������E=��'@��9pr����;�::�-�4:�|��F� �5���s �29PX��9p��d endstream endobj 177 0 obj<> endobj 178 0 obj<> endobj 179 0 obj<>/ColorSpace<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/ExtGState<>>> endobj 180 0 obj<> endobj 181 0 obj[/ICCBased 189 0 R] endobj 182 0 obj[/Indexed 181 0 R 15 191 0 R] endobj 183 0 obj[/Indexed 181 0 R 15 193 0 R] endobj 184 0 obj[/Indexed 181 0 R 15 195 0 R] endobj 185 0 obj[/Indexed 181 0 R 15 197 0 R] endobj 186 0 obj<> endobj 187 0 obj<> endobj 188 0 obj<>stream %PDF-1.4 %���� 176 24 Capable of further algebraic treatment. x�b```�V�P``a`b� �D�������g�oF '�a �]� ϙ���L �9�͘[��0�1�0�21��`���a��$�YLQL^W�Vgff������;��2�Y:��S����b���YA)�b�'8���9~X�����)w��!Pd�t�f�����1��ݪ�t��� �m�:ǁz��*U6�3�z'��i��x�Ip�ꬢ� A measure of central tendency is a summary statistic that represents the center point or typical value of a dataset. Measures Of Central Tendency And Dispersion PDF Free Download. i] Presents complex data in a simple form. 2] Simple to understand 0000002464 00000 n Please send your queries to ncerthelp@gmail.com you can aslo visit our facebook page to get quick help. vii. Averages are also called Measures of Central Tendency. “Measures of central tendency” are used because they represent centralized or middle values of the data. 3] Based on all observations v. Least affected by extreme values. ii. CBSE Syllabus Class 12 Maths Physics Chemistry ... CBSE Syllabus Class 11 Mathematics biology chemistry ... CBSE Syllabus Class 10 Maths Science Hindi English ... CBSE Syllabus Class 9 Mathematics Science English Hindi ... Revised Syllabus for Class 12 Mathematics. trailer ii] Facilitates comparison. It is the most common type of measures of central tendency. You can think of it as the tendency of data to cluster around a middle value. 2. Averages are also called Measures of Central Tendency. 1] Affected by extreme values. viii. Mode Measures of Central Tendency: Mean, Median, and Mode Examples 1. iii. 0000001809 00000 n INTRODUCTION In the pr evious chapter , you have r ead about the tabular and graphic representation of the data. ��h33��*Y�g��W F�i����C����d�����Ȓ���5�@j4�n���bѲ���U��C��Df*�e*���⡭�,V� �������s��̡4�y��m��μ�����=t���.2�4*g��X�݆=��\~����u�^=���9����u'/(��Wp-�^�� �mbk��IG��0���� �]��Qи�%.�rW C�k��`��3�����F��eNnpZS��rG8�g_��FvZ&�H3��C��49C�8�:p�%Ξ�MN����3-F�`�\��n�0�k��M� dè 0000038517 00000 n Functions of Average: i] Presents complex data in a simple form. 2y�.-;!���K�Z� ���^�i�"L��0���-�� @8(��r�;q��7�L��y��&�Q��q�4�j���|�9�� 4] Sometimes misleading or absurd result. vi. xref %%EOF 0000041112 00000 n H���yTSw�oɞ����c [���5la�QIBH�ADED���2�mtFOE�.�c��}���0��8�׎�8G�Ng�����9�w���߽��� �'����0 �֠�J��b� Such a description is referred to as a datum. These measures indicate where most values in a distribution fall and are also referred to as the central location of a distribution. 176 0 obj <> endobj iv] Useful in Economic analysis. 0000038115 00000 n H�ĔOk1���stK=ь�Ҫ��1�P�B��qJ 0000038418 00000 n endstream endobj 189 0 obj<>stream Quartiles. iv. – Mode • … Order the data from smallest to largest. 0000002418 00000 n 2. Least affected by sampling fluctuation. J F QVDi� ��e`���E�X'*��5�#�&;05�2p1naX��`����B�90��t`� ��t�`��6��|��/d(��  �v�sT/�c���� �Զ���������3��o �7 b0 S��� 0000039657 00000 n 0000041211 00000 n Based on all items of observation. 0000039756 00000 n 0000000776 00000 n Lesson Initiator – What is the purpose of finding an “average?” 2. iii. The following are the five measures of average or central tendency that are in common use : (i) Arithmetic average or arithmetic mean or simple mean (ii) Median (iii) Mode (iv) Geometric mean (v) Harmonic mean Arithmetic mean, Geometric mean and Harmonic means are usually called Mathematical averages while Mode and Median are called Positional averages. Measures of Ccentral Tendency and Dispersion PDF Free Download Important Term and Concepts: 1. 2] Cannot be calculated in open-end series. Average: It is a value which is typical or representative of a set of data. 0000001431 00000 n – Median • The score in the middle when the scores are ordered. 1. 0000006101 00000 n Link of our facebook page is given in sidebar. measure of central tendency, there are situations where the mean does not provide a good, representative value, and there are situations where you cannot compute a mean at all.