Statistics | Nerd Zone - Free Printable

Let's solve each problem step by step.

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1. Find the range of each set of data.

Range = Maximum value – Minimum value

#### a) 7, 13, 18, 24, 9, 3, 18
- Max = 24
- Min = 3
- Range = 24 – 3 = 21

#### b) 3.6, 4.0, 2.9, 3.1, 2.75, 3.3, 2.7, 2.25
- Max = 4.0
- Min = 2.25
- Range = 4.0 – 2.25 = 1.75

#### c) *15, 0, *14, *17, *13, *10, *18
(Note: The asterisks may be formatting or indicate emphasis; we’ll treat them as regular numbers.)
Data: 15, 0, 14, 17, 13, 10, 18
- Max = 18
- Min = 0
- Range = 18 – 0 = 18

#### d) 210, 178, 210, 146, 188, 250, 210, 169, 266
- Max = 266
- Min = 146
- Range = 266 – 146 = 120

✔ Answers:
a) 21
b) 1.75
c) 18
d) 120

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2. Find the median of each set of data.

Median = Middle value when data is ordered. If even number of values, average the two middle ones.

#### a) 14, 11, 13, 12, 15
Order: 11, 12, 13, 14, 15
Middle (3rd) value = 13

#### b) 30, 48, 32, 43, 32
Order: 30, 32, 32, 43, 48
Middle (3rd) value = 32

#### c) 9, 5, 8, 6, 8, 2
Order: 2, 5, 6, 8, 8, 9
Two middle values: 6 and 8 → Median = (6 + 8)/2 = 7

#### d) 210, 178, 210, 146, 188, 250, 210, 169, 266
Order: 146, 169, 178, 188, 210, 210, 210, 250, 266
Middle (5th) value = 210

✔ Answers:
a) 13
b) 32
c) 7
d) 210

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3. Find the mean of each set of data.

Mean = Sum of all values / Number of values

#### a) $2.50, $3.75, $1.25, $6.10
Sum = 2.50 + 3.75 + 1.25 + 6.10 = 13.60
Number = 4
Mean = 13.60 / 4 = $3.40

#### b) 28, 210, 95, 100, 171, 110
Sum = 28 + 210 + 95 + 100 + 171 + 110 = 714
Number = 6
Mean = 714 / 6 = 119

#### c) 2.6, 3.5, 5.7, 8.3, 4.9
Sum = 2.6 + 3.5 + 5.7 + 8.3 + 4.9 = 25.0
Number = 5
Mean = 25.0 / 5 = 5.0

#### d) 210, 178, 210, 146, 188, 250, 210, 169, 266
Sum = 210+178+210+146+188+250+210+169+266
= Let’s add step by step:
(210×3) = 630
178 + 146 = 324
188 + 250 = 438
169 + 266 = 435
Total = 630 + 324 = 954; 954 + 438 = 1392; 1392 + 435 = 1827
Number = 9
Mean = 1827 / 9 = 203

✔ Answers:
a) $3.40
b) 119
c) 5.0
d) 203

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4. Find the mean of each set of data to the nearest tenth.

#### a) 9, 5, 8, 6, 8, 2
Sum = 9+5+8+6+8+2 = 38
Number = 6
Mean = 38 / 6 ≈ 6.333... → 6.3 (nearest tenth)

#### b) 18, 12, 25, 18, 17, 19, 18
Sum = 18+12+25+18+17+19+18 =
= (18×3) = 54; 12+25=37; 17+19=36 → Total = 54+37+36 = 127
Number = 7
Mean = 127 / 7 ≈ 18.142... → 18.1

#### c) 3.9, 2.75, 4.0, 3.25, 3.7, 2.8, 3.5, 3.75, 2.5
Sum = Let's compute carefully:
3.9 + 2.75 = 6.65
+4.0 = 10.65
+3.25 = 13.9
+3.7 = 17.6
+2.8 = 20.4
+3.5 = 23.9
+3.75 = 27.65
+2.5 = 30.15
Number = 9
Mean = 30.15 / 9 ≈ 3.35 → 3.4 (nearest tenth)

#### d) 125, 120, 118, 130, 125, 133, 127
Sum = 125+120=245; +118=363; +130=493; +125=618; +133=751; +127=878
Number = 7
Mean = 878 / 7 ≈ 125.428... → 125.4

✔ Answers:
a) 6.3
b) 18.1
c) 3.4
d) 125.4

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5. Find the mode of each set of data.

Mode = Most frequent value(s)

#### a) 30, 48, 32, 43, 32, 32
Wait — let's list: 30, 48, 32, 43, 32, 32 → 32 appears three times, others once
→ Mode = 32

#### b) 6.8, 6.2, 6.3, 6.8, 5.9, 6.0, 6.1, 5.9
List:
6.8 → 2 times
5.9 → 2 times
Others: 6.2, 6.3, 6.0, 6.1 → once each
→ Two values appear twice → Bimodal: 5.9 and 6.8

But if only one mode allowed, it might be "no mode" or both listed. Typically, we say 5.9 and 6.8 are modes.

#### c) *15, 0, *14, *17, *13, *10, *18
Data: 15, 0, 14, 17, 13, 10, 18
All values appear once → No mode → No mode

#### d) 210, 178, 210, 146, 188, 250, 210, 169, 266
210 appears three times, others once → Mode = 210

✔ Answers:
a) 32
b) 5.9 and 6.8 (or no mode if only one allowed)
c) No mode
d) 210

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✔ Final Answers:

#### 1. Range:
a) 21
b) 1.75
c) 18
d) 120

#### 2. Median:
a) 13
b) 32
c) 7
d) 210

#### 3. Mean:
a) $3.40
b) 119
c) 5.0
d) 203

#### 4. Mean (nearest tenth):
a) 6.3
b) 18.1
c) 3.4
d) 125.4

#### 5. Mode:
a) 32
b) 5.9 and 6.8
c) No mode
d) 210

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