Ex 14.4, 1 - The number of goals was scored by a team - Ex 14.4

Ex 14.4, 1 - Chapter 14 Class 9 Statistics - Part 2
Ex 14.4, 1 - Chapter 14 Class 9 Statistics - Part 3

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Transcript

Ex14.4, 1 The following number of goals was scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores. Mean Mean of data = (๐‘†๐‘ข๐‘š ๐‘œ๐‘“ ๐‘Ž๐‘™๐‘™ ๐‘œ๐‘๐‘ ๐‘’๐‘Ÿ๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘›๐‘ )/(๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐‘œ๐‘“ ๐‘œ๐‘๐‘ ๐‘’๐‘Ÿ๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘›๐‘ ) = (2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10 = 28/10 = 2.8 goals Median Arranging the number of goals in ascending order, 0, 1, 2, 3, 3, 3, 3, 4, 4, 5 Number of observations = n = 10 (even number) Median = (๐‘›/2)"th obs. + " (๐‘›/2 +1)"th obs. " /2 = (10/2)"th obs. + " (10/2 + 1)"th obs. " /2 = (5๐‘กโ„Ž ๐‘œ๐‘๐‘ .+6๐‘กโ„Ž ๐‘œ๐‘๐‘ .)/2 = (3 + 3)/2 = 6/2 = 3 Mode 0, 1, 2, 3, 3, 3, 3, 4, 4, 5 Here, 0 occurs 1 time, 1 occurs 1 time, 3 occurs 4 times 4 occurs 2 times 5 occurs 1 time Since 3 occurs maximum number of times Mode = 3

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