Skills&Worksheet&–&Mean,&Median,&Mode&and&Range&
Mean,!Median,!Mode!and!Range! !
1.!! !
Find!the!mode!of!each!of!the!following!sets!of!numbers:! a) b) c) d)
! 2.!! !
7,!3,!4,!3,!9,!8,!6,!2! 14,!18,!11,!15,!14,!19,!11,!16,!11! 22,!28,!27,!29,!28,!31,!27,!23,!21! 8,!3,!6,!5,!9,!2,!1,!15,!7! Find!the!median!of!each!of!these!lists:!
a) b) c) d) e) f) g) h) ! 3.!! '
2,!4,!7,!8,!11! 3,!5,!7,!9,!10,!12! 2,!4,!6,!7,!8,!9! 4,!5,!6,!6,!8,!10! 8,!2,!5,!6,!4! ! (Don’t!forget!to!put!these!in!order!first)! 5,!9,!4,!6,!6! 19,!15,!18,!6,!9,!17! 302,!310,!304,!307,!308,!303,!302,!305! Find!the!mean!of!each!of!these!sets!of!numbers!without'a'calculator:'
a) b) c) d) ' 4.!!
5,!3,!4,!5,!3! 1,!2,!3,!3,!1,!2,!3,!2,!2,!1! 8,!15,!10,!11! 5,!9,!13,!6,!4,!5! Find!the!mean!of!each!of!these!sets!of!numbers.!! Write!down!the!full!answer.!! You'may'use'a'calculator.'
' a) b) c) ' 5.!! !
6,!7,!9,!10,!9! 14,!8,!10,!6,!12,!7! 6.0,!6.1,!6.3,!7.4,!4.8,!6.2,!5.8,!6.4,!5.9! Without!using!a!calculator,!work!out!the!range!of!each!of!these!sets!of!numbers:!
a) b) c) d) ! 6.! !
5,!8,!1,!3,!8,!3! 11,!4,!2,!1,!6,!7,!12,!6,!5! 105,!100,!82,!88,!94,!102,!60,!77! 8.4,!7.1,!9.9,!9.6,!7.5,!8.7! Find!the!mean,!median!and!mode!of!the!values!below.!You!will!need!a!calculator.! 523,!781,!640,!612,!708,!580,!628,!649,!612! ! The!heights!of!15!men!(in!cm)!are!recorded!in!the!table!below.!! Find!a)'the'mode!and!b)'the'range!of!their!heights.!
7.! !
168! 162! 172! 183! 176! 164! 169! 176! 178! 176! 181! 179! 190! 172! 188!
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Mean,!Median,!Mode!and!Range!2!SOLUTIONS! !
1.!! !
Find!the!mode!of!each!of!the!following!sets!of!numbers:! a) b) c) d)
7,!3,!4,!3,!9,!8,!6,!2! ! ! 14,!18,!11,!15,!14,!19,!11,!16,!11! 22,!28,!27,!29,!28,!31,!27,!23,!21! 8,!3,!6,!5,!9,!2,!1,!15,!7!! !
! ! ! !
3! ! 11! 27'&'28! No'mode!
! 2.!! !
Find!the!median!of!each!of!these!lists:! a) b) c) d) e) f) g) h)
2,!4,!7,!8,!11! ! ! ! ! 3,!5,!7,!9,!10,!12! ! ! ! 2,!4,!6,!7,!8,!9! ! ! ! 4,!5,!6,!6,!8,!10! ! ! ! 8,!2,!5,!6,!4! ! ! ! ! 5,!9,!4,!6,!6! ! ! ! ! 19,!15,!18,!6,!9,!17! ! ! ! 302,!310,!304,!307,!308,!303,!302,!305!
7! 8! 6.5! 6! 5'' 6' 16' 304.5'
(2,!4,!5,!6,!8)! (4,!5,!6,!6,!9)! (6,!9,!15,!17,!18,!19)!
(302,!302,!303,!304,!305,!307,!308,!310)!
!
! 3.!! '
Find!the!mean!of!each!of!these!sets!of!numbers!without'a'calculator:' a) b) c) d)
' 4.!! '
' 5.!! !
5,!3,!4,!5,!3! ! ! 1,!2,!3,!3,!1,!2,!3,!2,!2,!1! 8,!15,!10,!11!! ! 5,!9,!13,!6,!4,!5! !
4! 2' 11' 7'
(20÷5)! (20÷10)! (44÷4)! (42÷6)!
Find!the!mean!of!each!of!these!sets!of!numbers.!! Write!down!the!full!answer.!! You'may'use'a'calculator.' a) b) c)
6,!7,!9,!10,!9! ! ! ! 8.2! 14,!8,!10,!6,!12,!7! ! ! 9.5! 6.0,!6.1,!6.3,!7.4,!4.8,!6.2,!5.8,!6.4,!5.9! 6.1!
(41÷5)! (57÷6)! (54.9÷9)!
Without!using!a!calculator,!work!out!the!range!of!each!of!these!sets!of!numbers:! a) b) c) d)
5,!8,!1,!3,!8,!3! ! ! 11,!4,!2,!1,!6,!7,!12,!6,!5! ! 105,!100,!82,!88,!94,!102,!60,!77! 8.4,!7.1,!9.9,!9.6,!7.5,!8.7! !
! ! ! !
7! 10! 45! 2.8!
(8M1)! (11M1)! (105M60)! (9.9M7.1)!
! 6.! !
7.! !
Find!the!mean,!median!and!mode!of!the!values!below.!You!will!need!a!calculator.! 523,!781,!640,!612,!708,!580,!628,!649,!612! ! Mean'637!(5733÷7.1)! Median'628!(523,!580,!612,!612,!628,!640,!649,!708,!781)! ! The!heights!of!15!men!(in!cm)!are!recorded!in!the!table!below.!! Find!a)' the'mode!and!b)'the'range!of!their!heights.! 168! 164! 181!
162! 169! 179!
172! 176! 190!
! a)'Mode'176cm''
!
and'
!
183! 178! 172!
Mode'612!
176! 176! 188!
b)'Range'28cm'(190M162)!
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