Measurement and Data>Distinguishing Between Situations with and Without Variability in Data(TEKS.Math.6.13.B)
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Texas 6th Grade Math › Measurement and Data>Distinguishing Between Situations with and Without Variability in Data(TEKS.Math.6.13.B)
Scenario A: A lab thermostat keeps the room at exactly 22.0 degrees all day with no fluctuation. Scenario B: The number of books students read this month. Scenario C: Identical coins are minted to exactly 5.00 g with no tolerance. Scenario D: The time it takes students to run one lap around the track.
Which scenarios show data with variability?
A and C
A and D
B and C
B and D
Explanation
B and D vary because different students read different amounts and run at different speeds. A and C are fixed by design, so they would not vary.
Scenario A: A dispenser fills each cup with exactly 250 milliliters every time, with no error. Scenario B: Scores students earn on an open-response quiz. Scenario C: The number of minutes different buses take to arrive each morning. Scenario D: Heights of plants grown from seeds in the same potting soil.
Which scenario would most likely yield no variability?
A
B
C
D
Explanation
A is controlled to be exactly the same each time, so there is no variability. B, C, and D reflect natural differences and conditions, so they vary.
Scenario A: Each sealed bag contains exactly 20 marbles counted by a perfect machine with no mistakes. Scenario B: Daily high temperatures in a city during one week. Scenario C: The number of correct answers students get on a 2-minute fact test. Scenario D: Every pencil is cut to exactly 18.0 cm by a precise cutter with no tolerance.
Which scenarios would most likely yield no variability?
A and B
A and D
B and C
C and D
Explanation
A and D are fixed by design to be identical each time, so they show no variability. B and C change due to weather and differing student performance.