Graph illustrating temperature change over time, used in a science worksheet for data analysis.

Let’s go step by step to solve this worksheet.

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Complete the Missing:

1. Who is important in applied science?
→ Applied science uses scientific knowledge to solve real-world problems. So, engineers, doctors, technicians, and inventors are important — but since it’s asking for “who,” and often in school contexts they expect a general role:
✔ Scientists and engineers (or just “engineers” if one word is expected). But let’s think — applied science = using science practically → so practitioners or applied scientists. However, most textbooks say:
👉 Engineers are key in applied science because they build things based on scientific principles.

But wait — maybe the question expects:
“Who is important?” → People who apply science → Technologists, Engineers, Medical Professionals...
Actually, looking at common curriculum answers:
✔ Engineers

*(We’ll go with “Engineers” as the standard answer unless context says otherwise.)*

2. List four types of data commonly organized chronologically.
Chronological means in order of time. Examples:
- Daily temperatures over a week
- Stock prices each day
- Population growth year by year
- Sales figures per month
✔ So:
1. Temperature readings over days
2. Monthly sales reports
3. Yearly population counts
4. Daily stock market values

(Any 4 time-based data sets work.)

3. Consider when data is used to display rate.
Rate = how fast something changes over time. Like speed (miles per hour), growth rate, etc.
So we use data to show rate when we want to see how quickly something is changing — e.g., bacteria growing, car accelerating, money earning interest.
✔ Answer: When we want to measure or compare how fast something changes over time.

4. What kind of information is usually shown in a table?
Tables organize numbers or facts in rows and columns. Good for exact values, comparisons, categories.
✔ Example: Test scores by student, ingredients in recipes, survey results by age group.
So: Exact numerical data, categorical info, comparisons between groups

5. How many kinds of graphs will you display data?
This is tricky — there isn’t a fixed number. Common ones taught in middle/high school:
- Bar graph
- Line graph
- Pie chart
- Histogram
- Scatter plot
Sometimes also: area graph, box plot, etc.
But typically, students learn about 4–6 main types.
Looking at the next question (#6) which asks “what determines what type of graph”, it implies there are several.
In many curricula, they teach:
✔ Four: bar, line, pie, scatter
Or sometimes five including histogram.
But since the question says “how many kinds”, and doesn’t specify, perhaps it’s expecting a range or common count.
Wait — maybe it’s a trick? No — likely they mean “several” or list them. But the blank is short.
Perhaps the intended answer is:
✔ Several — but that’s vague.
Alternatively, check typical textbook: Often they say “three main types”: bar, line, circle (pie).
But modern standards include more.
Given the context, I think safest is:
✔ At least four — but since it’s fill-in-blank, maybe write:
“Commonly 4 to 6 types depending on data.”

Hmm — actually, re-reading: “How many kinds of graphs will you display data?” — probably typo, should be “to display data”. And likely expects a number.
In many US middle school math books, they cover:
1. Bar
2. Line
3. Circle/Pie
4. Histogram
5. Scatter Plot
So maybe 5?
But let’s look ahead — Question 6 talks about choosing graph type based on data — so again, multiple exist.
I think best answer here is:
✔ There is no single number — it depends on the data and purpose. Commonly 4–6 types are used.

But since it’s a worksheet, maybe they expect:
✔ Four (bar, line, pie, scatter)

Let’s assume that for now.

6. What determines a decision on what graph type to use to show a type of graph?
Ah, this is key! You choose the graph based on:
- What kind of data you have (categorical vs numerical)
- What you want to show (comparison, trend, part-to-whole, relationship)
Examples:
→ Use bar graph to compare categories
→ Use line graph to show change over time
→ Use pie chart to show parts of a whole
→ Use scatter plot to see relationships between two variables
✔ So: The type of data and the message you want to communicate determine the graph type.

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Graph Challenge:

Data: Weekly average temperature (°F)

Week | Temp
1 | 68
2 | 70
3 | 72
4 | 75
5 | 78
6 | 82
7 | 88
8 | 95

You’re told to make a line graph — and there’s already a grid drawn with weeks on x-axis and temp on y-axis from 60 to 100.

Now answer:

1. What is plotted on the x-axis?
X-axis is horizontal — usually independent variable. Here, it’s Weeks (time).
✔ Weeks

2. What is plotted on the y-axis?
Y-axis is vertical — dependent variable. Here, it’s Temperature (°F)
✔ Temperature in degrees Fahrenheit

3. Is the temperature increasing or decreasing overall?
Look at the temps: 68 → 70 → 72 → 75 → 78 → 82 → 88 → 95
All going up! Even though small jumps, never goes down.
✔ Increasing

4. During which week does the temperature increase the most?
Calculate weekly increases:
Wk1→2: 70 - 68 = +2
Wk2→3: 72 - 70 = +2
Wk3→4: 75 - 72 = +3
Wk4→5: 78 - 75 = +3
Wk5→6: 82 - 78 = +4
Wk6→7: 88 - 82 = +6 ← biggest jump
Wk7→8: 95 - 88 = +7 ← even bigger!

Wait — Wk7 to Wk8: 95 - 88 = +7, which is larger than +6.

So largest increase is from Week 7 to Week 8 → that happens during Week 8? Or between Week 7 and 8?

Question says: “during which week does the temperature increase the most?”

Typically, we say the increase occurs *between* weeks, but if forced to pick a week, it’s the week where the higher value is recorded — so Week 8 shows the result of the big jump.

But technically, the increase happened *from* Week 7 *to* Week 8 — so during the period leading into Week 8.

However, in such questions, they usually mean: which week had the highest temperature compared to previous — so the week where the rise was measured ending.

Since the data point for Week 8 is 95, and previous was 88, the increase of 7 occurred to reach Week 8.

✔ So answer: Week 8

But let’s confirm:
If someone says “during week 5”, they might mean the change that happened in that week — i.e., from end of week 4 to end of week 5.

Yes — so the increase “during week N” means from week N-1 to week N.

Therefore:

Increase during Week 2: from W1 to W2 → +2
...
Increase during Week 8: from W7 to W8 → +7 → largest

✔ Final Answer: Week 8

5. What can you infer the temperature trend to be in the future?
It’s been rising steadily, and the last jump was biggest (+7). If pattern continues, it will keep rising. Maybe faster?
But we don’t know why — could be seasonal (summer coming), so likely continues to rise then maybe level off or drop later. But based only on given data — upward trend.
✔ The temperature is likely to continue increasing in the near future.

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Now compiling all answers neatly:

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Final Answer:

Complete the Missing:

1. Engineers
2. Examples: daily temperatures, monthly sales, yearly population, stock prices (any 4 chronological data sets)
3. When measuring how fast something changes over time
4. Exact numbers, categories, comparisons (e.g., test scores, survey results)
5. Typically 4 to 6 types (commonly: bar, line, pie, scatter, histogram) — but often simplified to "four" in schools
6. The type of data and the purpose of showing it (e.g., comparison, trend, relationship)

Graph Challenge:

1. Weeks
2. Temperature (°F)
3. Increasing
4. Week 8
5. It will likely continue to increase