Statistics - Median
Question 1
To calculate the median, make sure the numbers are in order and then find the middle value. Find the median for the following:
a) $1,2,3,4,5$
a
$3$
Question ID: 70030010010
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b) $5,7,9,11,13$
a
$9$
Question ID: 70030010020
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c) $25,26,30$
a
$26$
Question ID: 70030010030
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d) $44,52,68,77,78$
a
$68$
Question ID: 70030010040
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e) $4,4,5,7,8,9,9$
a
$7$
Question ID: 70030010050
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f) $23,23,25,25,27$
a
$25$
Question ID: 70030010060
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g) $44,79,104,130,877$
a
$104$
Question ID: 70030010070
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h) $2,2,2,3,3,3,4,4,4$
a
$3$
Question ID: 70030010080
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i) $8.2,19.3,25,27.8,30.2,36.7,48.9$
a
$27.8$
Question ID: 70030010090
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j) $0.4,0.5,0.5,0.7,0.8$
a
$0.5$
Question ID: 70030010100
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k) $0,0,6,8,20$
a
$6$
Question ID: 70030010110
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l) $-8,-2,-1$
a
$-2$
Question ID: 70030010120
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m) $-50,-49,-3,-1,0$
a
$-3$
Question ID: 70030010130
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n) $3,8,15,16,17,22,35,78,89,89,93$
a
$22$
Question ID: 70030010140
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Question 2
To calculate the median, list the numbers in order and then find the middle value. Find the median for the following:
a) $7,6,2$
a
$6$
Question ID: 70030020010
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b) $19,15,14,4,3$
a
$14$
Question ID: 70030020020
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c) $9,2,7$
a
$7$
Question ID: 70030020030
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d) $8,3,6,4,9$
a
$6$
Question ID: 70030020040
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e) $3,6,3,6,2,7,0,5,2$
a
$3$
Question ID: 70030020050
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f) $17,2,18$
a
$17$
Question ID: 70030020060
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g) $32,38,24,64,34$
a
$34$
Question ID: 70030020070
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h) $623,375,234,135,153,123,643$
a
$234$
Question ID: 70030020080
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i) $0.6,0.1,0.9,0.4,0.4$
a
$0.4$
Question ID: 70030020090
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j) $3.6,3.7,2.7,6.3,7.5,6.6,0.2,4.6,2.1$
a
$3.7$
Question ID: 70030020100
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Question 3
To find the median of an even number of values, list them in order, find the middle two values and find their mean/average. Find the median for the following:
a) $4,6,8,9$
a
$7$
Question ID: 70030030010
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b) $10,12$
a
$11$
Question ID: 70030030020
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c) $3,3$
a
$3$
Question ID: 70030030030
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d) $18,10$
a
$14$
Question ID: 70030030040
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e) $16,16,4,2$
a
$10$
Question ID: 70030030050
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f) $5,2,19,30$
a
$12$
Question ID: 70030030060
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g) $3,6,7,10$
a
$6.5$
Question ID: 70030030070
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h) $7,2,9,3$
a
$5$
Question ID: 70030030080
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Question ID: 70030030080
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i) $1,15,5,2,11,10,3,19$
a
$7.5$
Question ID: 70030030090
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j) $22,38,45,25,41,77$
a
$39.5$
Question ID: 70030030100
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k) $0.6,0.2,1.5,1.0$
a
$0.8$
Question ID: 70030030110
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l) $0.22,7.85,7.71,0.3,0.14,7.7,8.9$
a
$4$
Question ID: 70030030120
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Question 4
Find the median from the following stem and leaf diagram:
a)
Stem |
Leaf |
1 |
6 |
6 |
7 |
2 |
0 |
1 |
5 |
3 |
2 |
8 |
6 |
where 1|6 means 16
a
$21$
Question ID: 70030040010
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b)
where 5|8 means 58
a
$65$
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c)
where 11|2 means 112
a
$121$
Question ID: 70030040030
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d)
Stem | Leaf |
---|
25 | 1 | 1 | 8 |
26 | 3 | 6 | |
27 | 2 | 8 | |
28 | 0 | 1 | 1 |
29 | 8 | | |
where 25|1 means 251
a
$272$
Question ID: 70030040040
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Question 5
Form a stem and leaf diagram for the following data and find the median:
a) $42,45,47,51,59,68,69,72,77$
a
where 4|2 means 42
The median is 9
Question ID: 70030050010
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b) $135,139,140,142,146,152,152,168,177,188,189,189$
a
Stem | Leaf |
---|
13 | 5 | 9 | |
14 | 0 | 2 | 6 |
15 | 2 | 2 | |
16 | 8 | | |
17 | 7 | | |
18 | 8 | 9 | 9 |
where 13|5 means 135
The median is 152
Question ID: 70030050020
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c) $27,34,18,22,8,4,33,22,31,15,18,20,28$
a
Stem | Leaf |
---|
0 | 4 | 8 | | | |
1 | 5 | 8 | 8 | | |
2 | 0 | 2 | 2 | 7 | 8 |
3 | 1 | 3 | 4 | | |
where 0|4 means 4
The median is 22
Question ID: 70030050030
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d) $1.9,4.6,0.2,3.0,2.1,2.4,2.6,4.0,2.0,0.6,0.8,3.1,3.1,3.2,2.5,3.1,1.9$
a
Stem | Leaf |
---|
0 | 2 | 6 | 6 | 8 | |
1 | 9 | 9 | | | |
2 | 0 | 1 | 4 | 5 | |
3 | 0 | 1 | 1 | 1 | 2 |
4 | 0 | 6 | 8 | | |
where 0|2 means 0.2
The median is 2.45
Question ID: 70030050040
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Question 6
Find median from the following frequency table:
a)
a
$2$
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b)
a
$12$
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c)
Score | Frequency |
---|
88 | 7 |
89 | 8 |
90 | 10 |
91 | 5 |
a
$89.5$
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d)
Score | Frequency |
---|
12 | 8 |
13 | 4 |
14 | 20 |
15 | 25 |
16 | 4 |
17 | 3 |
a
$14$
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e)
Mark | Frequency |
---|
0 | 14 |
1 | 18 |
2 | 22 |
3 | 35 |
4 | 24 |
5 | 27 |
6 | 10 |
a
$3$
Question ID: 70030060050
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Question 7
Find the answer to the following worded questions:
a) What is the median of the numbers from $1$ to $10$? (inclusive)
a
$5,5$
Question ID: 70030070010
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b) What is the median of the first $9$ odd numbers?
a
$9$
Question ID: 70030070020
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c) What number must be taken away from the following list in order for the median to decrease by $1$?
$7,9,10,14,19$
a
$19$
Question ID: 70030070030
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d) What number can be added to the following list in order for the median to increase by $1$?
$27,13,8,18,1,22,4,11,15,20$
a
Any number less than or equal to $15$ works
Question ID: 70030070040
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Question 1
To calculate the median, make sure the numbers are in order and then find the middle value. Find the median for the following:
a) $1,2,3,4,5$
b) $5,7,9,11,13$
c) $25,26,30$
d) $44,52,68,77,78$
e) $4,4,5,7,8,9,9$
f) $23,23,25,25,27$
g) $44,79,104,130,877$
h) $2,2,2,3,3,3,4,4,4$
i) $8.2,19.3,25,27.8,30.2,36.7,48.9$
j) $0.4,0.5,0.5,0.7,0.8$
k) $0,0,6,8,20$
l) $-8,-2,-1$
m) $-50,-49,-3,-1,0$
n) $3,8,15,16,17,22,35,78,89,89,93$
Question 2
To calculate the median, list the numbers in order and then find the middle value. Find the median for the following:
a) $7,6,2$
b) $19,15,14,4,3$
c) $9,2,7$
d) $8,3,6,4,9$
e) $3,6,3,6,2,7,0,5,2$
f) $17,2,18$
g) $32,38,24,64,34$
h) $623,375,234,135,153,123,643$
i) $0.6,0.1,0.9,0.4,0.4$
j) $3.6,3.7,2.7,6.3,7.5,6.6,0.2,4.6,2.1$
Question 3
To find the median of an even number of values, list them in order, find the middle two values and find their mean/average. Find the median for the following:
a) $4,6,8,9$
b) $10,12$
c) $3,3$
d) $18,10$
e) $16,16,4,2$
f) $5,2,19,30$
g) $3,6,7,10$
h) $7,2,9,3$
i) $1,15,5,2,11,10,3,19$
j) $22,38,45,25,41,77$
k) $0.6,0.2,1.5,1.0$
l) $0.22,7.85,7.71,0.3,0.14,7.7,8.9$
Question 4
Find the median from the following stem and leaf diagram:
a)
Stem |
Leaf |
1 |
6 |
6 |
7 |
2 |
0 |
1 |
5 |
3 |
2 |
8 |
6 |
where 1|6 means 16
d)
Stem | Leaf |
---|
25 | 1 | 1 | 8 |
26 | 3 | 6 | |
27 | 2 | 8 | |
28 | 0 | 1 | 1 |
29 | 8 | | |
where 25|1 means 251
Question 5
Form a stem and leaf diagram for the following data and find the median:
a) $42,45,47,51,59,68,69,72,77$
b) $135,139,140,142,146,152,152,168,177,188,189,189$
c) $27,34,18,22,8,4,33,22,31,15,18,20,28$
d) $1.9,4.6,0.2,3.0,2.1,2.4,2.6,4.0,2.0,0.6,0.8,3.1,3.1,3.2,2.5,3.1,1.9$
Question 6
Find median from the following frequency table:
c)
Score | Frequency |
---|
88 | 7 |
89 | 8 |
90 | 10 |
91 | 5 |
d)
Score | Frequency |
---|
12 | 8 |
13 | 4 |
14 | 20 |
15 | 25 |
16 | 4 |
17 | 3 |
e)
Mark | Frequency |
---|
0 | 14 |
1 | 18 |
2 | 22 |
3 | 35 |
4 | 24 |
5 | 27 |
6 | 10 |
Question 7
Find the answer to the following worded questions:
a) What is the median of the numbers from $1$ to $10$? (inclusive)
b) What is the median of the first $9$ odd numbers?
c) What number must be taken away from the following list in order for the median to decrease by $1$?
$7,9,10,14,19$
d) What number can be added to the following list in order for the median to increase by $1$?
$27,13,8,18,1,22,4,11,15,20$
Answers
Question 1
a) $3$
b) $9$
c) $26$
d) $68$
e) $7$
f) $25$
g) $104$
h) $3$
i) $27.8$
j) $0.5$
k) $6$
l) $-2$
m) $-3$
n) $22$
Question 2
a) $6$
b) $14$
c) $7$
d) $6$
e) $3$
f) $17$
g) $34$
h) $234$
i) $0.4$
j) $3.7$
Question 3
a) $7$
b) $11$
c) $3$
d) $14$
e) $10$
f) $12$
g) $6.5$
h) $5$
i) $7.5$
j) $39.5$
k) $0.8$
l) $4$
Question 4
a) $21$
b) $65$
c) $121$
d) $272$
Question 5
a)
where 4|2 means 42
The median is 9
b)
Stem | Leaf |
---|
13 | 5 | 9 | |
14 | 0 | 2 | 6 |
15 | 2 | 2 | |
16 | 8 | | |
17 | 7 | | |
18 | 8 | 9 | 9 |
where 13|5 means 135
The median is 152
c)
Stem | Leaf |
---|
0 | 4 | 8 | | | |
1 | 5 | 8 | 8 | | |
2 | 0 | 2 | 2 | 7 | 8 |
3 | 1 | 3 | 4 | | |
where 0|4 means 4
The median is 22d)
Stem | Leaf |
---|
0 | 2 | 6 | 6 | 8 | |
1 | 9 | 9 | | | |
2 | 0 | 1 | 4 | 5 | |
3 | 0 | 1 | 1 | 1 | 2 |
4 | 0 | 6 | 8 | | |
where 0|2 means 0.2
The median is 2.45
Question 6
a) $2$
b) $12$
c) $89.5$
d) $14$
e) $3$
Question 7
a) $5,5$
b) $9$
c) $19$
d) Any number less than or equal to $15$ works
Question 1
To calculate the median, make sure the numbers are in order and then find the middle value. Find the median for the following:
a) $1,2,3,4,5$
b) $5,7,9,11,13$
c) $25,26,30$
d) $44,52,68,77,78$
e) $4,4,5,7,8,9,9$
f) $23,23,25,25,27$
g) $44,79,104,130,877$
h) $2,2,2,3,3,3,4,4,4$
i) $8.2,19.3,25,27.8,30.2,36.7,48.9$
j) $0.4,0.5,0.5,0.7,0.8$
k) $0,0,6,8,20$
l) $-8,-2,-1$
m) $-50,-49,-3,-1,0$
n) $3,8,15,16,17,22,35,78,89,89,93$
Question 2
To calculate the median, list the numbers in order and then find the middle value. Find the median for the following:
a) $7,6,2$
b) $19,15,14,4,3$
c) $9,2,7$
d) $8,3,6,4,9$
e) $3,6,3,6,2,7,0,5,2$
f) $17,2,18$
g) $32,38,24,64,34$
h) $623,375,234,135,153,123,643$
i) $0.6,0.1,0.9,0.4,0.4$
j) $3.6,3.7,2.7,6.3,7.5,6.6,0.2,4.6,2.1$
Question 3
To find the median of an even number of values, list them in order, find the middle two values and find their mean/average. Find the median for the following:
a) $4,6,8,9$
b) $10,12$
c) $3,3$
d) $18,10$
e) $16,16,4,2$
f) $5,2,19,30$
g) $3,6,7,10$
h) $7,2,9,3$
i) $1,15,5,2,11,10,3,19$
j) $22,38,45,25,41,77$
k) $0.6,0.2,1.5,1.0$
l) $0.22,7.85,7.71,0.3,0.14,7.7,8.9$
Question 4
Find the median from the following stem and leaf diagram:
a)
Stem |
Leaf |
1 |
6 |
6 |
7 |
2 |
0 |
1 |
5 |
3 |
2 |
8 |
6 |
where 1|6 means 16
d)
Stem | Leaf |
---|
25 | 1 | 1 | 8 |
26 | 3 | 6 | |
27 | 2 | 8 | |
28 | 0 | 1 | 1 |
29 | 8 | | |
where 25|1 means 251
Question 5
Form a stem and leaf diagram for the following data and find the median:
a) $42,45,47,51,59,68,69,72,77$
b) $135,139,140,142,146,152,152,168,177,188,189,189$
c) $27,34,18,22,8,4,33,22,31,15,18,20,28$
d) $1.9,4.6,0.2,3.0,2.1,2.4,2.6,4.0,2.0,0.6,0.8,3.1,3.1,3.2,2.5,3.1,1.9$
Question 6
Find median from the following frequency table:
c)
Score | Frequency |
---|
88 | 7 |
89 | 8 |
90 | 10 |
91 | 5 |
d)
Score | Frequency |
---|
12 | 8 |
13 | 4 |
14 | 20 |
15 | 25 |
16 | 4 |
17 | 3 |
e)
Mark | Frequency |
---|
0 | 14 |
1 | 18 |
2 | 22 |
3 | 35 |
4 | 24 |
5 | 27 |
6 | 10 |
Question 7
Find the answer to the following worded questions:
a) What is the median of the numbers from $1$ to $10$? (inclusive)
b) What is the median of the first $9$ odd numbers?
c) What number must be taken away from the following list in order for the median to decrease by $1$?
$7,9,10,14,19$
d) What number can be added to the following list in order for the median to increase by $1$?
$27,13,8,18,1,22,4,11,15,20$
Answers
Question 1
a) $3$
b) $9$
c) $26$
d) $68$
e) $7$
f) $25$
g) $104$
h) $3$
i) $27.8$
j) $0.5$
k) $6$
l) $-2$
m) $-3$
n) $22$
Question 2
a) $6$
b) $14$
c) $7$
d) $6$
e) $3$
f) $17$
g) $34$
h) $234$
i) $0.4$
j) $3.7$
Question 3
a) $7$
b) $11$
c) $3$
d) $14$
e) $10$
f) $12$
g) $6.5$
h) $5$
i) $7.5$
j) $39.5$
k) $0.8$
l) $4$
Question 4
a) $21$
b) $65$
c) $121$
d) $272$
Question 5
a)
where 4|2 means 42
The median is 9
b)
Stem | Leaf |
---|
13 | 5 | 9 | |
14 | 0 | 2 | 6 |
15 | 2 | 2 | |
16 | 8 | | |
17 | 7 | | |
18 | 8 | 9 | 9 |
where 13|5 means 135
The median is 152
c)
Stem | Leaf |
---|
0 | 4 | 8 | | | |
1 | 5 | 8 | 8 | | |
2 | 0 | 2 | 2 | 7 | 8 |
3 | 1 | 3 | 4 | | |
where 0|4 means 4
The median is 22d)
Stem | Leaf |
---|
0 | 2 | 6 | 6 | 8 | |
1 | 9 | 9 | | | |
2 | 0 | 1 | 4 | 5 | |
3 | 0 | 1 | 1 | 1 | 2 |
4 | 0 | 6 | 8 | | |
where 0|2 means 0.2
The median is 2.45
Question 6
a) $2$
b) $12$
c) $89.5$
d) $14$
e) $3$
Question 7
a) $5,5$
b) $9$
c) $19$
d) Any number less than or equal to $15$ works
Solutions
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