# Statistics - Mode, Range, Mean and Median

a - answer    s - solution    v - video

## Question 1

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

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

## 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

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

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

## 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

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

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) 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

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

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