QUESTION IMAGE
Question
day 7
data analysis/critic
compare the two sets of data. for each, examine the distribution and find the measures of center. then, write several sentences that compare the sets.
number of books read over the summer
homeroom a: 5, 9, 10, 15, 4, 3, 0, 9, 6, 7, 1, 2, 5, 10
homeroom b: 6, 5, 7, 4, 8, 9, 9, 5, 10, 12, 15, 3, 0, 6
read the first word pair. make the next word pair by taking the second word from the previous word pair and combining it with a word from the word bank. word pairs must combine to form either a compound word or words that are often used together. the goal is to reach the last word pair provided.
word bank: ball, dragon, finger, fly, snap; dragon, finger, fly, ring, snap
- key, ring
22.
23.
24.
25.
26.
- ball, game
fitness flash: do 10 sit - ups.
First Task: Data Comparison
Step1: Sort Homeroom A data
Sorted A: $0, 1, 2, 3, 4, 5, 5, 6, 7, 9, 9, 10, 10, 15$
Step2: Calculate A's mean
Sum = $0+1+2+3+4+5+5+6+7+9+9+10+10+15=86$; Mean = $\frac{86}{14} \approx 6.14$
Step3: Find A's median
Middle values: 5, 6; Median = $\frac{5+6}{2}=5.5$
Step4: Sort Homeroom B data
Sorted B: $0, 3, 4, 5, 5, 6, 6, 7, 8, 9, 9, 10, 12, 15$
Step5: Calculate B's mean
Sum = $0+3+4+5+5+6+6+7+8+9+9+10+12+15=99$; Mean = $\frac{99}{14} \approx 7.07$
Step6: Find B's median
Middle values: 7, 8; Median = $\frac{7+8}{2}=7.5$
Step7: Compare distributions & centers
Both have range 15; B's center is higher.
Each pair uses the second word from the prior pair, paired with a word from the bank to make a common collocation or compound word, leading to the final pair.
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Homeroom A has a mean of approximately 6.14 and a median of 5.5. Homeroom B has a mean of approximately 7.07 and a median of 7.5. Both data sets have a range of 15 (from 0 to 15 books read), meaning their spread is identical. However, the measures of center for Homeroom B are higher than those for Homeroom A, indicating that, on average, students in Homeroom B read more books over the summer than students in Homeroom A.
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