# 84 educational publishing house ltd measures of

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Measures of Central Tendency21.The stem-and-leaf diagram on the right shows a set of data.(a)Find the mean of the set of data.Leaf (1)(b)Find the median of the set of data.(c)Find the mode of the set of data.22.An organization conducts a survey about the obesity of students. The following stem-and-leaf diagramshows the body mass index (BMI) distribution of obese students in this survey.BMI distributionStem (10 kg/m2)Leaf (1 kg/m2)23466667711222334478001Find the median and the mode of thebody massindices of thestudentsin thissurvey.23.The following stem-and-leaf diagram showsthe weights of some pencils.Stem (1 g)Leaf (0.1 g)6783aaa1223b0c55The mean, the median and the mode of the weights of the pencils are 7.5 g, 7.35 g and 6.5 grespectively. Find the values ofa,band24.Consider the set of data:a,a+ 2,b,b,c, wherea,bandcare distinct. If the mean, the median and themode of the set of data are 12.6, 13 and 14 respectively, find the values ofa,band777899991376889c.c.Multiple Choice Questions25.If the mode of nine numbers 3, 2, 2, 4, 5, 9, 7,xandyis 3, then the median of the nine numbers isStem (10)Leaf (1)3453 671168788
26.If the mean of six numbers 25, 14, 27, 24, 10 andxisx, then the median of the six numbers is
Book 3A Chapter 6C.21.D.22.86© Educational Publishing House Ltd
Measures of Central Tendency6.2Measures of Central Tendency for Data Organized by Frequency Distribution TablesDemonstration 1The following table shows the numbers of pensowned by 30 students.Number of pens01234Frequency291351Find the mean number of pens owned by thestudents.1.The following table shows the numbers ofmedals won by 25 athletes in a sportsday.Number of medals01234Frequency58174Find the mean number of medals won by theathletes.

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Mean, Weighted mean, Educational Publishing House Ltd