a)what is the mode?
b)what is the median?
c)the die is thrown one more time.find the number shown on the die.if the mean of the total trows is 3.2
Number on die 1 2 3 4 5 6
Frequency 7 3 3 5 2 4
b)what is the median?
c)the die is thrown one more time.find the number shown on the die.if the mean of the total trows is 3.2
Number on die 1 2 3 4 5 6
Frequency 7 3 3 5 2 4
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a) Mode = 1 because this number on die has maximum frequency.
b) The cumulative frequency is
7 10 13 18 20 24
Median = Size of (N+1)/2 th item
= Size of (24+1)/2 th item
= Size of 12.5th item
Median = 3 because this number on die has a cumulative frequency of 13
c) Denote the number on die with X and the frequncy with f and N denotes the total frequency
(Old) Sigma fX = (1*7)+(2*3)+(3*3)+(4*5)+(5*2)+(6*4) = 76
Let x be the number shown on the die
Mean = (New) Sigma fX/N
3.2 = (76+x)/(24+1)
80 = 76+x
x = 4
The number shown on the die in the 25th throw = 4
b) The cumulative frequency is
7 10 13 18 20 24
Median = Size of (N+1)/2 th item
= Size of (24+1)/2 th item
= Size of 12.5th item
Median = 3 because this number on die has a cumulative frequency of 13
c) Denote the number on die with X and the frequncy with f and N denotes the total frequency
(Old) Sigma fX = (1*7)+(2*3)+(3*3)+(4*5)+(5*2)+(6*4) = 76
Let x be the number shown on the die
Mean = (New) Sigma fX/N
3.2 = (76+x)/(24+1)
80 = 76+x
x = 4
The number shown on the die in the 25th throw = 4
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a) The mode is the most frequently occuring result.
So in this case you have seven 1's, so this is your mode.
b) The Median is the middle point of your data set (once they have been sorted)
There are 24 numbers (adding the frequencies together) so halfway between result twelve and result thirteen is the answer. Result twelve is a 3, and result thirteen is a 3, this means your Median is 3.
c) Start working out your mean (which ends up being 3.166) the total of the die throws is 76, and you have 24 throws. Stop there as you actually want to know how to get 3.2 from 25 throws.
3.2 = (X + 76) / 25
80 = X + 76
X = 4
Hope that helps.
So in this case you have seven 1's, so this is your mode.
b) The Median is the middle point of your data set (once they have been sorted)
There are 24 numbers (adding the frequencies together) so halfway between result twelve and result thirteen is the answer. Result twelve is a 3, and result thirteen is a 3, this means your Median is 3.
c) Start working out your mean (which ends up being 3.166) the total of the die throws is 76, and you have 24 throws. Stop there as you actually want to know how to get 3.2 from 25 throws.
3.2 = (X + 76) / 25
80 = X + 76
X = 4
Hope that helps.
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the mode is the number which appears more often
mode = 1
the median is the number you get putting all numbers in increasing order and taking the central one
as the number of throws 24 is even you must take the mean among the 12th and the 13th number
that is 3
to get 3.2 as mean of 25 throws the sum must be 3.2x25 = 80
the sum of the 24 numbers already thrown is 1x7 + 2x3 + 3x3 + 4x5 + 5x2 + 6x4 = 76
so the last throw must give 80 - 76 = 4
mode = 1
the median is the number you get putting all numbers in increasing order and taking the central one
as the number of throws 24 is even you must take the mean among the 12th and the 13th number
that is 3
to get 3.2 as mean of 25 throws the sum must be 3.2x25 = 80
the sum of the 24 numbers already thrown is 1x7 + 2x3 + 3x3 + 4x5 + 5x2 + 6x4 = 76
so the last throw must give 80 - 76 = 4
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a) Mode = 1
b) Median = 3
c) 3.2 * 25 = 80
7 + 6 + 9 + 20 + 10 + 24 = 76
80 - 76 = 4 (the answer)
I hope this information was very helpful.
b) Median = 3
c) 3.2 * 25 = 80
7 + 6 + 9 + 20 + 10 + 24 = 76
80 - 76 = 4 (the answer)
I hope this information was very helpful.