Question

what happened to the cat who
swallowed a ball of yarn?
cross out the box containing each correct answer. when you finish, write the letters
from the remaining boxes in the spaces at the bottom of the page.
1 find the median for each set of data.
a. 49, 32, 67, 55, 58
b. 3.1, 5.2, 4.4, 5.0, 3.8, 2.6, 4.7
c. 29, 12, 30, 22, 7, 23, 36, 15, 18, 9
d. 816, 837, 785, 828, 812, 763, 835, 789
e. 110, 115, 109, 110, 116, 113, 112, 116, 110,
106, 113
f. price of zak vii game at
various software stores
$41.75 $43.89 $42.50
43.40 42.95 39.95
42.90 40.90 40.69
39.95 45.30 42.95
2 the weekly salaries for 5 people who
work at a las vegas hotel are given
in the table.
a. what is the mean salary?
b. what is the median salary?
star of stage show $45,000
hotel manager 2,000
chief chef 1,500
publicity director 1,100
lifeguard 400
3 find the mode (or modes) for each set of data.
a. suit sizes
36 39 40
37 39 41
38 39 41
38 40 42
38 40 41
39 40 44
38 40 42
b. times in 50-m dash (s)
5.7 6.3 6.7 6.9
5.9 6.3 6.7 7.0
6.0 6.4 6.8 7.2
6.0 6.5 6.9 7.3
6.2 6.5 6.9 7.3
6.3 6.7 6.9 7.5
c. runs scored
3 7 2 8 4
1 4 0 5 7
2 2 4 1 5
7 5 3 6 7
0 1 5 2 2
6 4 9 5 9
4 the table gives typing speeds for 12
students in words per minute (wpm).
find the following for this set of
data.
a. the range
b. the mean
c. the median
d. the mode (or modes)
name speed (wpm) name speed (wpm)
danny 31 allison 30
celeste 27 ramon 24
michael 15 george 18
kalon 31 jackie 35
matt 24 kim 28
rachel 13 robert 24
th 25.5 wpm sh 3 on 20 e 22 wpm ow $1,500 eh 27 wpm it 6.9 s gl 112 ad 82.1 so 24 wpm m $11,200
e 2 and 5 kn $42.70 it 6.5 s is 55 ca 25 wpm te 38 am 81.4 ya 40 nk 4.4 ns $43.20 rn $10,000

Explanation:

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Problem ①: Find the median for each set of data.

Step1: Sort data set A

Sort $49, 32, 67, 55, 58$ → $32, 49, 55, 58, 67$

Step2: Find median of A

Middle value (3rd term): $55$

Step3: Sort data set B

Sort $3.1, 5.2, 4.4, 5.0, 3.8, 2.6, 4.7$ → $2.6, 3.1, 3.8, 4.4, 4.7, 5.0, 5.2$

Step4: Find median of B

Middle value (4th term): $4.4$

Step5: Sort data set C

Sort $29, 12, 30, 22, 7, 23, 36, 15, 18, 9$ → $7, 9, 12, 15, 18, 22, 23, 29, 30, 36$

Step6: Find median of C

Average of 5th/6th terms: $\frac{18+22}{2}=20$

Step7: Sort data set D

Sort $81.6, 83.7, 78.5, 82.8, 81.2, 76.3, 83.5, 78.9$ → $76.3, 78.5, 78.9, 81.2, 81.6, 82.8, 83.5, 83.7$

Step8: Find median of D

Average of 4th/5th terms: $\frac{81.2+81.6}{2}=81.4$

Step9: Sort data set E

Sort $110, 115, 109, 110, 116, 113, 112, 116, 110, 106, 113$ → $106, 109, 110, 110, 110, 112, 113, 113, 115, 116, 116$

Step10: Find median of E

Middle value (6th term): $112$
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Problem ②: Weekly salaries for 5 people

Step1: List salaries

Salaries: $\$45000, \$2000, \$1500, \$1100, \$400$

Step2: Calculate mean salary

Sum: $45000+2000+1500+1100+400=50000$; Mean: $\frac{50000}{5}=10000$

Step3: Sort salaries for median

Sorted: $\$400, \$1100, \$1500, \$2000, \$45000$

Step4: Find median salary

Middle value (3rd term): $1500$
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Problem ③: Find the mode(s)

Step1: Count suit sizes (A)

Most frequent: $37, 39, 40$ (each 4 times)

Step2: Count dash times (B)

Most frequent: $6.7$ (4 times)

Step3: Count runs scored (C)

Most frequent: $5$ (6 times)
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Problem ④: Typing speeds (12 students)

Step1: List speeds

Speeds: $31,27,15,31,24,13,30,24,18,35,28,24$

Step2: Calculate range (A)

Range: $35-13=22$

Step3: Calculate mean (B)

Sum: $31+27+15+31+24+13+30+24+18+35+28+24=300$; Mean: $\frac{300}{12}=25$

Step4: Sort speeds for median (C)

Sorted: $13,15,18,24,24,24,27,28,30,31,31,35$; Median: $\frac{24+27}{2}=25.5$

Step5: Find mode (D)

Most frequent: $24$ (3 times)
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Problem F: Zark VII game prices

Step1: List prices

Prices: $41.75,43.89,42.50,43.40,42.95,40.69,42.90,40.50,39.95,45.30$

Step2: Find range

Range: $45.30-39.95=5.35$

Step3: Calculate mean

Sum: $41.75+43.89+42.50+43.40+42.95+40.69+42.90+40.50+39.95+45.30=423.83$; Mean: $\frac{423.83}{10}=42.383\approx42.40$

Step4: Sort prices for median

Sorted: $39.95,40.50,40.69,41.75,42.50,42.90,42.95,43.40,43.89,45.30$; Median: $\frac{42.50+42.90}{2}=42.70$
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Answer:

Cross out boxes with the following correct values:

1. Problem ①: 55, 4.4, 20, 81.4, 112
2. Problem ②: 10000, 1500
3. Problem ③: 37,39,40; 6.7; 5
4. Problem ④: 22, 25, 25.5, 24
5. Problem F: 5.35, 42.40, 42.70

Remaining letters (bottom of page): SHE WORE A COAT OF MANY COLORS