 # Statistics - Mode and Range

a - answer    s - solution    v - video    d - discussion

## Question 1

The mode is the most common number. Find the mode for the following data sets:

a) $3,4,5,5,6,7$a s v d
b) $5,6,8,9,9,10,11,12,12,12,15$a s v d
c) $7,2,9,3,5,2,6$a s v d
d) $17,14,19,15,14,16,18,14,19,8$a s v d
e) $0.2,0.5,0.2,0.3,0.7,0.9$a s v d
f) $82,15,45,88,43,32,15,67,42,19$a s v d
g) $6,2,8,3,5,9,1,4,7$a s v d
h) $153,122,122,153,122,160,118$a s v d
i) $1.86,2.47,5.22,0.8,9.4,0.2,8.2,0.8,1.45,9.33,1.45,2.22,16.8,2.13,0.8$a s v d

j) $2,6,3,2,8,3,5,4,9,11$a s v d
k) Red, Green, Blue, Green, Orange, Yellow, Black, Blue, Purple, Bluea s v d

l) $512,632,912,723,321,723,123,428,539,632,582,675,531,723$a s v d

m) Hat, Coat, Scarf, Shirt, Coat, Coat, Scarf, Shirt, Hat, Shirt, Hat, Coat, Watcha s v d

n) Three, Twenty, Sixteen, Eight, Sixteen, Eight, Nine, Eight, Nine, Fifteen, Twelve, Eight, Sixteen, Eighteen, Four, Sixteen, Elevena s v d

o) $0.001,0.001,0.01,0.1,1.0,0.1,0.001,1.0,10.01$a s v d

## Question 2

Find the mode for the following data set:

a)
Result Frequency
Red 4
Blue 5
Green 3
a s v d
b)
Result Frequency
20 5
21 11
22 17
23 11
24 4
a s v d
c)
Score Frequency
94 2
95 0
96 5
97 2
98 5
99 5
100 6
a s v d
d)
Length Frequency
5m 7
6m 3
7m 8
8m 4
9m 7
10m 1
a s v d

## Question 3

The range is the difference between the largest result and the smallest result. Find the range for the following data sets:

a) $10,15$a s v d
b) $72,32$a s v d
c) $3,5,9$a s v d
d) $0.4,0.6,0.7,0.7,0.9$a s v d
e) $8,4,1,8,14,3,19,4,3$a s v d
f) $53,12,83,28,84,29$a s v d
g) $835,632,563,642,146,864,346,887,24,567,382$a s v d
h) $6.3,9.2,4.7,0.3,6.2,7.3,8.5,5.9,3.6,0.2,1.2$a s v d
i) $8392.35,1235,524,5327,7432,2363,7432,345,742,2364,9202$a s v d

## Question 4

Find the range for the following data set:

a)
Result Frequency
42 8
43 20
44 6
a s v d
b)
Score Frequency
10 9
11 11
12 4
13 22
14 18
15 3
a s v d

## Question 5

Find the mode and range for the following data set:

a) $7,4,2,19,2$a s v d
b) $53,61,27,72,27,33,63$a s v d
c) $0.4,1.8,0.5,2.6,9.3,10.4,0.5,1.4,1.8,18$a s v d
d) $724,901,235,666,253,842,702,503,125,812$a s v d

## Question 6

For the following data find both the mode and range.

a)
 10 9 9 11 11 9 12 4 9
a s v d
b)
 72 28 92 13 20 55 14 20 94 6 17 39
a s v d
c)
 0.5 2.6 9.4 2.5 9.2 4.5 1 16 9.9 4.4 8.4 9.1 20 1.6 3.3 1.9
a s v d
d)
 724 925 101 205 925 670 836 877 162 599 281 281 678 445 544 925 777 836 532 532 207 924 670 836 909
a s v d