STEAM Learning Module - DP - Data Averaging

A student used a drone to measure the height of a tree four times as part of a reforestation project. The measurements were: | 1st measurement | 12.5 m | | 2nd measurement | 12.45 m | | 3rd measurement | 12.4 m | | 4th measurement | 12 m | How many significant figure(s) should the student use to report the average value of the data?

• 2 significant figures

• 1 significant figure

• 3 significant figures

• 4 significant figures

A health researcher measured the heart rate of a patient four times during a wellness check.| 1st measurement | 72.5 beats/min | | 2nd measurement | 73 beats/min | | 3rd measurement | 72.25 beats/min | | 4th measurement | 72.75 beats/min | How many significant figure(s) should the researcher use to report the average value of the data?

• 2 significant figures

• 1 significant figure

• 3 significant figures

• 4 significant figures

A student measured the amount of rainfall collected in a sustainable water harvesting system three times. | 1st measurement | 235 mL | | 2nd measurement | 242.5 mL | | 3rd measurement | 238.75 mL | How many significant figure(s) should the student use to report the average value of the data?

• 3 significant figures

• 2 significant figures

• 4 significant figures

• 5 significant figures

A team monitoring solar panel efficiency measured the voltage output four times during the day. | 1st measurement | 12.05 V | | 2nd measurement | 12.1 V | | 3rd measurement | 12 V | | 4th measurement | 12.15 V | How many significant figure(s) should the student use to report the average value of the data?

• 3 significant figures

• 2 significant figures

• 4 significant figures

• 5 significant figures

How many significant figure(s) should the team use to report the average value of the data?

• 3 significant figures

• 1 significant figure

• 2 significant figures

• 4 significant figures

How many significant figure(s) should the student use to report the average value of the data?

• 2 significant figures

• 1 significant figure

• 3 significant figures

• 4 significant figures

A drone was used to measure wind speeds at different heights as part of a renewable energy study. The following measurements were recorded: 1st measurement | 15.2 km/h | | 2nd measurement | 15.4 km/h | | 3rd measurement | 15.3 km/h | | 4th measurement | 22.7 km/h | Which measurement do you think is an outlier? Calculate the average value of the measurements after removing the outlier.

• 4th measurement (22.7 km/h) is an outlier. Average = (15.2 + 15.4 + 15.3) ÷ 3 = 15.3 km/h

• 1st measurement (15.2 km/h) is an outlier. Average = (15.4 + 15.3 + 22.7) ÷ 3 = 17.8 km/h

• 2nd measurement (15.4 km/h) is an outlier. Average = (15.2 + 15.3 + 22.7) ÷ 3 = 17.7 km/h

• 3rd measurement (15.3 km/h) is an outlier. Average = (15.2 + 15.4 + 22.7) ÷ 3 = 17.8 km/h

A student measured the battery life of a new energy-efficient mobile app four times: | 1st measurement | 8.5 hours | | 2nd measurement | 8.7 hours | | 3rd measurement | 8.6 hours | | 4th measurement | 4.2 hours | Which measurement do you think is an outlier? Calculate the average value of the measurements after removing the outlier.

• 4th measurement (4.2 hours) is an outlier. Average = (8.5 + 8.7 + 8.6) ÷ 3 = 8.6 hours

• 1st measurement (8.5 hours) is an outlier. Average = (8.7 + 8.6 + 4.2) ÷ 3 = 7.17 hours

• 2nd measurement (8.7 hours) is an outlier. Average = (8.5 + 8.6 + 4.2) ÷ 3 = 7.1 hours

• 3rd measurement (8.6 hours) is an outlier. Average = (8.5 + 8.7 + 4.2) ÷ 3 = 7.13 hours

A health monitoring app recorded a patient's blood glucose levels four times throughout the day: | 1st measurement | 5.4 mmol/L | | 2nd measurement | 5.6 mmol/L | | 3rd measurement | 5.5 mmol/L | | 4th measurement | 5.5 mmol/L |

• No outlier present. All measurements are close in value.

• The 2nd measurement is an outlier as it is higher than the others.

• The 1st measurement is an outlier as it is lower than the others.

• The 3rd measurement is an outlier as it is different from the rest.

Calculate the average value of the blood glucose levels. Express your answer with the appropriate number of significant figures.

• 5.5 mmol/L

• 4.2 mmol/L

• 6.8 mmol/L

• 7.1 mmol/L