Applying Range in Real-World Contexts

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| By Thames

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| Questions: 20 | Updated: Oct 31, 2025

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1) A weather station recorded the following high temperatures (°F) for two cities over one week: City A: 72, 74, 73, 75, 71, 74, 73 City B: 68, 79, 65, 82, 70, 77, 71 Which statement best describes the temperature variability in these cities?

City A has more variable temperatures because its range is larger

City B has more variable temperatures because its range is 17°F compared to City A's range of 4°F

Both cities have the same variability because they both recorded temperatures in the 70s

City A has more variable temperatures because it has more data points

City A: max 75, min 71 ⇒ range 4°F. City B: max 82, min 65 ⇒ range 17°F. A larger range means more variability, so City B varies more.

Explanation

City A: max 75, min 71 ⇒ range 4°F. City B: max 82, min 65 ⇒ range 17°F. A larger range means more variability, so City B varies more.

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About This Quiz

Applying Range In Real-world Contexts - Quiz

In this quiz, you’ll apply the concept of range to a variety of real-world situations. From weather data to sports scores, this quiz demonstrates how the range helps assess the variability of everyday data. You’ll analyze the spread of data to determine which situations are more consistent or reliable. The... see morequiz also looks at how range can affect business decisions, health care planning, and even manufacturing quality control. see less

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2) A basketball player's points per game over 8 games were: 12, 15, 14, 13, 16, 14, 15, 13. The range of this data set is 4 points. What does this tell us about the player's performance?

The player is unreliable and inconsistent

The player demonstrates consistent scoring with low variability

The player's average score is 4 points per game

The player scored exactly 4 points in one game

A small range (max − min) shows scores are clustered closely. Range 4 across 8 games indicates steady, predictable performance.

Explanation

A small range (max − min) shows scores are clustered closely. Range 4 across 8 games indicates steady, predictable performance.

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3) Two students took 5 quizzes each. Student X has a range of 8 points, and Student Y has a range of 24 points. Both students have the same mean score of 85. Which student's performance is more predictable?

Student X, because a smaller range indicates less variability in performance

Both students are equally predictable since they have the same mean

Student Y, because a larger range means more consistent scores

Cannot be determined without knowing the median scores

With identical means, the smaller range (8 vs. 24) signals tighter clustering and more predictability for Student X.

Explanation

With identical means, the smaller range (8 vs. 24) signals tighter clustering and more predictability for Student X.

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4) A company tracks daily customer visits over two weeks: Week 1: 45, 48, 47, 46, 49, 47, 48 Week 2: 32, 55, 41, 60, 38, 52, 44 What can the manager conclude about customer traffic?

Week 1 had more customers overall

Week 2 had less predictable customer traffic with a range of 28 compared to Week 1's range of 4

Both weeks had equally reliable customer patterns

Week 2 is more reliable for staffing decisions

Week 1: max 49, min 45 ⇒ range 4 (very steady). Week 2: max 60, min 32 ⇒ range 28 (highly variable). Greater range = less predictability.

Explanation

Week 1: max 49, min 45 ⇒ range 4 (very steady). Week 2: max 60, min 32 ⇒ range 28 (highly variable). Greater range = less predictability.

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5) A farmer measures rainfall (in inches) for two different months: March: 2.1, 2.3, 2.2, 2.4, 2.2 April: 0.5, 3.8, 1.2, 4.1, 2.0 If the farmer needs consistent rainfall for crop planning, which month provides more reliable data?

March, because its range of 0.3 inches shows more consistent rainfall

Both months are equally reliable

April, because it has more variation

April, because the total rainfall was higher

March: 2.4 − 2.1 = 0.3 (tight spread). April: 4.1 − 0.5 = 3.6 (wide spread). Smaller range supports stable planning.

Explanation

March: 2.4 − 2.1 = 0.3 (tight spread). April: 4.1 − 0.5 = 3.6 (wide spread). Smaller range supports stable planning.

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6) What is the range of student visits in September?

5 students

4 students

3 students

6 students

September min 3, max 6 ⇒ range 6 − 3 = 3 students.

Explanation

September min 3, max 6 ⇒ range 6 − 3 = 3 students.

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7) What is the range of student visits in October?

12 students

13 students

15 students

14 students

October min 2, max 16 ⇒ range 16 − 2 = 14 students.

Explanation

October min 2, max 16 ⇒ range 16 − 2 = 14 students.

Submit

8) Based on the ranges, which month had more predictable health office traffic?

October, because more students visited overall

Both months were equally predictable

September, because the smaller range indicates more consistent daily visits

October, because the range shows greater student need

Smaller range = more consistency. September’s range 3 is much smaller than October’s 14.

Explanation

Smaller range = more consistency. September’s range 3 is much smaller than October’s 14.

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9) If the nurse needs to schedule consistent staffing, which month's data is more useful for planning?

October, because the larger range shows all possibilities

Both months provide equal planning value

September, because the low variability (range = 3) suggests stable daily needs

October, because it shows maximum capacity needed

Stable day-to-day demand (small range) supports dependable staffing levels—September fits this.

Explanation

Stable day-to-day demand (small range) supports dependable staffing levels—September fits this.

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10) A coffee shop tracks the number of lattes sold per day over two weeks at two locations: Location A: Range = 15 lattes Location B: Range = 47 lattes What does this suggest about inventory management?

Location A requires less variable inventory because sales are more consistent

Both locations require the same inventory strategy

Location B is easier to manage because you know the maximum sales

Location B has higher average sales

A smaller range (15 vs. 47) means more predictable daily sales; inventory can be planned with less fluctuation at Location A.

Explanation

A smaller range (15 vs. 47) means more predictable daily sales; inventory can be planned with less fluctuation at Location A.

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11) A track coach compares 100-meter sprint times (in seconds) for two runners over 6 races: Runner 1: 12.1, 12.3, 12.2, 12.4, 12.2, 12.3 (Range = 0.3 seconds) Runner 2: 11.8, 13.2, 12.1, 13.5, 11.9, 12.8 (Range = 1.7 seconds) Which runner demonstrates more reliable performance?

Runner 2, because they have faster times

Both runners are equally reliable

Runner 2, because the larger range shows more effort variation

Runner 1, because the smaller range shows more consistent race times

Runner 1’s range 0.3 s is much tighter than Runner 2’s 1.7 s, indicating steadier performance.

Explanation

Runner 1’s range 0.3 s is much tighter than Runner 2’s 1.7 s, indicating steadier performance.

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12) A store manager analyzes daily sales ($) for two products over one week: Product A: $450, $455, $448, $452, $451, $449, $453 Product B: $380, $520, $410, $495, $425, $505, $440 The range for Product A is $7 and for Product B is $140. What conclusion is most justified?

Product B generates more revenue

Product A is less popular with customers

Product B should be discontinued due to high variability

Product A has more predictable daily sales, making it easier to forecast

Range reflects variability, not popularity or revenue totals. Product A’s tiny range implies stable, forecastable sales.

Explanation

Range reflects variability, not popularity or revenue totals. Product A’s tiny range implies stable, forecastable sales.

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13) A meteorologist studies daily high temperatures (°F) in two regions over 10 days: Region 1: Range = 8°F Region 2: Range = 34°F For someone planning outdoor events, which region offers more reliable weather conditions?

Region 1, because the smaller range indicates more stable temperatures

Both regions are equally suitable

Region 2, because you can prepare for more scenarios

Cannot determine without knowing the actual temperatures

A smaller range (8°F) suggests less day-to-day swing, aiding scheduling and logistics.

Explanation

A smaller range (8°F) suggests less day-to-day swing, aiding scheduling and logistics.

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14) A quality control inspector measures the weight (in ounces) of cereal boxes from two production lines: Line A: 16.0, 16.1, 15.9, 16.0, 16.1, 16.0 Line B: 15.5, 16.8, 15.7, 16.5, 15.9, 16.3 Which production line shows better consistency?

Line B, because it has more variation in weights

Both lines are equally consistent

Cannot be determined

Line A, because its range of 0.2 oz shows more uniform production

Line A: max 16.1, min 15.9 ⇒ 0.2 oz. Line B: max 16.8, min 15.5 ⇒ 1.3 oz. Smaller range = tighter quality control.

Explanation

Line A: max 16.1, min 15.9 ⇒ 0.2 oz. Line B: max 16.8, min 15.5 ⇒ 1.3 oz. Smaller range = tighter quality control.

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15) A teacher compares test score ranges for two classes: Class 1: Range = 12 points (scores from 88 to 100) Class 2: Range = 45 points (scores from 55 to 100) What does this suggest about the classes?

Class 2 students are more prepared

Both classes have similar understanding of the material

Class 2 is easier to grade.

Class 1 shows more uniform understanding with less variability in performance

Range 12 vs. 45: Class 1’s smaller spread indicates more consistent mastery across students.

Explanation

Range 12 vs. 45: Class 1’s smaller spread indicates more consistent mastery across students.

Submit

16) What is the range of daily steps for Person A?

8,200 steps

400 steps

8,600 steps

500 steps

Max 8,600, min 8,200 ⇒ 8,600 − 8,200 = 400 steps (high consistency).

Explanation

Max 8,600, min 8,200 ⇒ 8,600 − 8,200 = 400 steps (high consistency).

Submit

17) What is the range of daily steps for Person B?

6,500 steps

7,000 steps

12,000 steps

5,500 steps

Max 12,000, min 5,000 ⇒ 12,000 − 5,000 = 7,000 steps (high variability).

Explanation

Max 12,000, min 5,000 ⇒ 12,000 − 5,000 = 7,000 steps (high variability).

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18) Which person has a more consistent daily walking routine?

Person A, because the range of 400 steps shows more regular daily activity

Both have equally consistent routines

Person B, because they walked more on some days

Person B, because variety in exercise is healthier

Smaller range means steadier day-to-day behavior; Person A’s steps barely fluctuate.

Explanation

Smaller range means steadier day-to-day behavior; Person A’s steps barely fluctuate.

Submit

19) A restaurant tracks wait times (in minutes) for two different days: Friday: 15, 18, 16, 17, 19, 16, 18 (Range = 4 minutes) Saturday: 10, 35, 15, 32, 12, 30, 14 (Range = 25 minutes) Which day provides a more reliable customer experience?

Saturday, because some customers waited less time

Both days offer similar experiences

Friday, because the smaller range indicates more consistent wait times

Saturday, because the range shows the restaurant can serve customers quickly

Friday’s range 4 vs. Saturday’s 25: smaller spread = more predictable waits.

Explanation

Friday’s range 4 vs. Saturday’s 25: smaller spread = more predictable waits.

Submit

20) Two manufacturing plants produce bolts with the following diameter measurements (in mm): Plant X: Range = 0.05 mm Plant Y: Range = 0.8 mm Both plants produce bolts with a target diameter of 10 mm. Which plant demonstrates better quality control?

Plant Y, because it produces more variety

Both plants have equal quality control

Plant X, because the smaller range indicates more precise manufacturing

Plant Y, because it can produce different sizes

With a target of 10 mm, precision matters. Plant X’s tiny range 0.05 mm signals tighter adherence to spec than 0.8 mm.

Explanation

With a target of 10 mm, precision matters. Plant X’s tiny range 0.05 mm signals tighter adherence to spec than 0.8 mm.

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A weather station recorded the following high temperatures (°F)...

A basketball player's points per game over 8 games were: 12, 15,...

Two students took 5 quizzes each. Student X has a range of 8 points,...

A company tracks daily customer visits over two weeks: ...

A farmer measures rainfall (in inches) for two different months: ...

What is the range of student visits in September?

What is the range of student visits in October?

Based on the ranges, which month had more predictable health office...

If the nurse needs to schedule consistent staffing, which month's data...

A coffee shop tracks the number of lattes sold per day over two weeks...

A track coach compares 100-meter sprint times (in seconds) for two...

A store manager analyzes daily sales ($) for two products over one...

A meteorologist studies daily high temperatures (°F) in two...

A quality control inspector measures the weight (in ounces) of cereal...

A teacher compares test score ranges for two classes: ...

What is the range of daily steps for Person A?

What is the range of daily steps for Person B?

Which person has a more consistent daily walking routine?

A restaurant tracks wait times (in minutes) for two different days: ...

Two manufacturing plants produce bolts with the following diameter...

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