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Statistics - Mode, Range, Mean and Median

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Question 1


Find the mode, range, mean and median for the following data sets:

a) $2,3,3,4,8$  a s v d
b) $5,5,6,6,6,7,7$  a s v d
c) $8,12,12,12,13,13,13,13$  a s v d
d) $2,8,1,3,8,4,20,6$  a s v d
e) $22,35,9,37,18,30,37,20$  a s v d
f) $54,88,91,37,23,54,23,88,91,91$  a s v d
g) $4.2,8.8,0.2,9.2$  a s v d
h) $0.5,0.6,0.5,0.4,0.5,0.5$  a s v d
i) $184,102,98,98,137,156,98,184$  a s v d
j) $44.8,25.7,100,0.1,56.5,100,0.8,0.1,25.7,56.5,100$  a s v d


Question 2


Compare the following data sets using the mode, range, mean and median:

a) Data set A: $4,5,7,9,10$
 Data set B: $2,6,6,8,13$  a s v d

b) Data set A: $18,16,43,18,13,12$
 Data set B: $24,16,20,20,19,21$  a s v d

c) Data set A: $19,4,1,25,1$
 Data set B: $20,25,1,1,43$  a s v d



Question 3


Answer the following worded questions

a) The range of the following data set is $11$ and the median is $8$. Find $x$ and $y$.

$x,5,y,8,14$  a s v d

b) The median of the following data set is $22$ and the mean is $21$. Find $x$ and $y$.

$15,20,x,y,26$  a s v d

c) The mode of the following data set is $5$, the range is 7 and the mean is $7$. Find $x$, $y$ and $z$.

$5,x,y,7,z$  a s v d

d) Four numbers have a range of $6$, a mode of $4$ and a median of $5$. The largest number is $10$. Find the other three numbers.  a s v d

e) Four numbers have a range of $10$ and mode of $23$ and a median of $24$. Find the four numbers.  a s v d

f) Five numbers have a mode of $46$, a median of $46$, a range of $24$ and a mean of $37$. Find the five numbers.  a s v d