GOVERNMENT E. RAGHAVENDRA RAO PG SCIENCE COLLEGE, BILASPUR CHHATTISGARH Department of zoology SESSION 2023-24 Subject Paper – Quantative Biology Topic -Project work on Mode Grouped data Descret Series Guided by Prof. Rashmi sao Presented by - Chitrakanta Pendro M.sc. 3 rd semester
MODE (Grouped data descret series )
CONTENT Introduction. Defination of Mode. Character of Mode. Proccess of grouped data descret series. Example of grouped data descret series. Merits and Demerits. Reference.
introduction . Mode is considered as the value in a series which occurs most frequently and has the maximum frequency According Carmon and Cowden. "The mode distribution the value at point the around . Which the ‘turns tend to most heavily concentrated It may be regarded is the most typical value.
Character of mode 1. A nominal statistics. 2. An inspection average. 3. The most frequently occurring score. 4. Usually occurs near the center of the distribution. 5. Cannot be obtained by mathematical operations. 6. The most popular scores. 7. Some distribution have more than one popular score .
Process of grouped data descret series . . It has six column Column I: Original frequencies and the maximum Column II: ( i ) Here frequencies of column I are combined two by two. (ii) Maximum frequency is marked by bold type, Column III: ( i ) Leaving the first frequency of column 1 and combine the others two by two. (ii) Again the maximum frequency is marked by bold type. Column IV ( i ) Here the frequencies of the column I are combined in three by three (ii) Maximum frequency is marked by bold type,
Proccess of grouped data descret series . 7 Column V: ( i ) Here we leave the first frequency of column •l' & combine the others three by three (li) Again the maxnnum frequency is marked as bold type. Column V ( i ) Here we leave the first frequency of column •l' & combine the others three by three, Again the maximum frequency is marked as bold type. Column VI: ( i ) Now leave (he first two frequencies of the column 'T' & combine the others three three. (ii) Mark the maxitnum frequency by bold type. After preparing the grouping table, we prepare the analysts table. ( i ) in this labie , column numbers are put on the left hand Side and the probable values of mode on the rtght Side. (It) The value which occurs maximum number of times IS the mode. Example l. Calculate the mode of the following frequency distribution: Height in inches 58 59 60 61 62 63 64 65 66 No. of penson 4 6 5 10 20 22 24 6 2
Merits and Demerits 8 Merits 1. It can be obtained by inspection. 2. It IS not affected by extreme values. This average can be calculated from open end classes. 3. It can be easily understood. 4. can be used to describe qualitative phenomenon. 5. The value of mode can also be found graphically Demerits l. Mode has no significance unless a large number of observation is available. 2. It can not be treated algebraically. 3. It a peculiar measure of central tendency 4. For the calculation of mode, the data must be arranged in the form of frequency distribution. 5. it is not ngidly defined measure