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ATI TEAS Measurement and Data Summary

Checked 11/3/26

Measurement and Data: key points

  • 1 inch = 2.54 centimeters; 1 kilogram is about 2.2 pounds.
  • The median is the middle value when the data are in order.
Importance
★★★★★ (5 / 5)
Weight
About 18 of 38 Mathematics questions (47%)

Reading tables, charts, and graphs; mean, median, mode, and range; describing data spread; converting units in the U.S. customary and metric systems; and finding perimeter, area, and volume of basic shapes.

📖 See more Measurement and Data concepts →

Measurement and Data: 10 sample questions

Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 1. What is the mean of this data set? 3, 9, 4, 10, 4

  1. ① 4
  2. ② 6
  3. ③ 7
  4. ④ 30
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Answer: ② 6

Key point: Mean = sum ÷ number of values

The mean (average) is the sum divided by how many values there are.

  1. Sum: 3 + 9 + 4 + 10 + 4 = 30
  2. Count: 5 values
  3. Mean: 30 ÷ 5 = 6

Check: 6 × 5 = 30.

Wrong choices

  • 4: 4 is the median and the mode, not the mean.
  • 7: 7 is the range (10 − 3).
  • 30: 30 is the sum; you still need to divide by 5.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 2. What is the median of this data set? 12, 7, 15, 9, 20, 11

  1. ① 11.5
  2. ② 12
  3. ③ 11
  4. ④ About 12.3
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Answer: ① 11.5

Key point: Median: order the data; average the two middles if even

Put the data in order first, then find the middle.

  1. In order: 7, 9, 11, 12, 15, 20
  2. There are 6 values, so the two middle values are 11 and 12.
  3. Median = (11 + 12) ÷ 2 = 11.5

Check: three values (7, 9, 11) are below 11.5 and three (12, 15, 20) are above.

Wrong choices

  • 12: This picks a middle number without putting the data in order first.
  • 11: With an even number of values, the median is the average of the two middle values.
  • About 12.3: This is the mean (74 ÷ 6), not the median.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 3. How many grams are in 3.5 kilograms?

  1. ① 3,500 g
  2. ② 350 g
  3. ③ 35,000 g
  4. ④ 0.0035 g
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Answer: ① 3,500 g

Key point: 1 kg = 1,000 g; big unit → small unit, multiply

"Kilo" means 1,000, so 1 kg = 1,000 g. Going from a bigger unit to a smaller unit, multiply.

  1. 3.5 × 1,000 = 3,500 g

Check: 3,500 ÷ 1,000 = 3.5 kg.

Wrong choices

  • 350 g: This multiplies by 100; 1 kilogram is 1,000 grams.
  • 35,000 g: This multiplies by 10,000.
  • 0.0035 g: This divides by 1,000 instead of multiplying.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 4. A bandage is 10 inches long. Using 1 inch = 2.54 centimeters, how long is the bandage in centimeters?

  1. ① 3.94 cm
  2. ② 254 cm
  3. ③ 25.4 cm
  4. ④ 12.54 cm
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Answer: ③ 25.4 cm

Key point: 1 inch = 2.54 cm; inches → cm, multiply

Each inch is 2.54 cm, so multiply.

  1. 10 × 2.54 = 25.4 cm

Check: 25.4 ÷ 2.54 = 10 inches.

Wrong choices

  • 3.94 cm: This divides by 2.54 instead of multiplying.
  • 254 cm: The decimal point is in the wrong place.
  • 12.54 cm: This adds 2.54 instead of multiplying.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 5. A rectangular garden is 12 feet long and 7 feet wide. What is its perimeter?

  1. ① 84 feet
  2. ② 38 feet
  3. ③ 19 feet
  4. ④ 26 feet
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Answer: ② 38 feet

Key point: Perimeter of a rectangle = 2 × length + 2 × width

Perimeter is the distance around the shape. A rectangle has two lengths and two widths.

  1. 2 × 12 = 24
  2. 2 × 7 = 14
  3. 24 + 14 = 38 feet

Check: 12 + 7 + 12 + 7 = 38.

Wrong choices

  • 84 feet: 84 is the area in square feet (12 × 7), not the perimeter.
  • 19 feet: This adds only one length and one width.
  • 26 feet: This adds 12 + 7 + 7 and leaves out one side.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 6. A triangle has a base of 10 cm and a height of 6 cm. What is its area?

  1. ① 60 square cm
  2. ② 16 square cm
  3. ③ 15 square cm
  4. ④ 30 square cm
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Answer: ④ 30 square cm

Key point: Triangle area = ½ × base × height

Area of a triangle = ½ × base × height.

  1. 10 × 6 = 60
  2. ½ × 60 = 30 square cm

Check: a triangle is half of a 10-by-6 rectangle, and half of 60 is 30.

Wrong choices

  • 60 square cm: This forgets to take half; 10 × 6 is the area of a rectangle.
  • 16 square cm: This adds the base and height.
  • 15 square cm: This takes half twice.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 7. A patient weighs 154 pounds. Using 1 kilogram = 2.2 pounds, what is the patient's weight in kilograms?

  1. ① 338.8 kg
  2. ② 77 kg
  3. ③ 70 kg
  4. ④ 35 kg
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Answer: ③ 70 kg

Key point: Pounds → kilograms: divide by 2.2

There are more pounds than kilograms for the same weight, so divide by 2.2.

  1. 154 ÷ 2.2 = 70 kg

Check: 70 × 2.2 = 154 pounds.

Wrong choices

  • 338.8 kg: This multiplies by 2.2; pounds to kilograms means dividing.
  • 77 kg: This divides by 2 instead of 2.2.
  • 35 kg: This divides by 4.4, not 2.2.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 8. The bar graph shows the number of patients seen at a clinic each weekday. How many more patients were seen on Wednesday than on Tuesday?

Bar graph titled Patients Seen at the Clinic. The horizontal axis shows Monday through Friday; the vertical axis shows number of patients from 0 to 35 in steps of 5. Each bar has its number printed above it: Monday 24, Tuesday 18, Wednesday 30, Thursday 21, Friday 22.
  1. ① 12
  2. ② 9
  3. ③ 6
  4. ④ 48
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Answer: ① 12

Key point: "How many more" means subtract the two bar values

Read each bar, then subtract.

  1. Wednesday: 30 patients
  2. Tuesday: 18 patients
  3. 30 − 18 = 12

Check: 18 + 12 = 30.

Wrong choices

  • 9: 9 is the difference between Wednesday (30) and Thursday (21).
  • 6: 6 is the difference between Monday (24) and Tuesday (18).
  • 48: 48 is the total of Tuesday and Wednesday, not the difference.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 9. The high temperatures for five days were 68°F, 75°F, 59°F, 81°F, and 72°F. What is the range?

  1. ① 72°F
  2. ② 22°F
  3. ③ 71°F
  4. ④ 81°F
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Answer: ② 22°F

Key point: Range = highest value − lowest value

Range = highest value − lowest value.

  1. Highest: 81
  2. Lowest: 59
  3. 81 − 59 = 22°F

Check: 59 + 22 = 81.

Wrong choices

  • 72°F: 72 is the median (the middle value in order).
  • 71°F: 71 is the mean (355 ÷ 5).
  • 81°F: 81 is the highest value, not the range.
Practice questionReviewedMathematics › Measurement and Data★★★★★

Question 10. A water tank shaped like a rectangular box is 4 feet long, 2 feet wide, and 3 feet tall. One cubic foot holds about 7.5 gallons. About how many gallons does the full tank hold?

  1. ① 24 gallons
  2. ② 67.5 gallons
  3. ③ 180 gallons
  4. ④ 3.2 gallons
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Answer: ③ 180 gallons

Key point: Box volume = length × width × height

Find the volume, then convert.

  1. Volume = 4 × 2 × 3 = 24 cubic feet
  2. Gallons = 24 × 7.5 = 180 gallons

Check: 20 × 7.5 = 150 and 4 × 7.5 = 30; 150 + 30 = 180.

Wrong choices

  • 24 gallons: 24 is the volume in cubic feet; it still needs to be changed to gallons.
  • 67.5 gallons: This adds the sides (4 + 2 + 3 = 9) instead of multiplying them.
  • 3.2 gallons: This divides 24 by 7.5 instead of multiplying.

Test yourself.

Measurement and Data: 5 questions →Mathematics: 5 questions →

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