Data Interpretation Questions

Multiple choice
  1. $2:1$
  2. $3:2$
  3. $5:2$
  4. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total manufactured by A and B in 2009: 1.0 + 2.4 = 3.4. Total sold by A and B in 2009: 0.4 + 1.3 = 1.7. Ratio = 3.4 : 1.7 = 2 : 1.

Multiple choice
  1. Approximately 16 million people with bachelor's degrees would report salary satisfaction.

  2. Approximately 24 million people with bachelor's degrees would report salary satisfaction.

  3. Approximately 47 million people with bachelor's degrees would report salary satisfaction.

  4. Approximately 72 million people with bachelor's degrees would report salary satisfaction.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From the table, 24,236 thousand people have a bachelor's degree and reported job satisfaction. In the follow-up survey of 1000 of these people, 658 were satisfied with their salary. This is 65.8% of the group. Applying this percentage to the total population of 24,236,000 gives approximately 15,947,288, which rounds to 16 million.

Multiple choice
  1. We expect that there are $15,200$ females in the population
  2. We expect there to be $5580$ females $65$ years old and younger in the population
  3. We expect there to be $9300$ females between $19$ and $65$ years old in the population
  4. We cannot determine the number of females in the population with the information given

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Females aged 19 to 65 in the sample number 90 + 135 = 225. Scaling this to the population gives 225/750 x 31,000 = 9,300, so statement C is correct. The table has a small total inconsistency in the 66+ row, but it does not affect this calculation.

Multiple choice
  1. $2\%$
  2. $7\%$
  3. $4\%$
  4. $51\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of men with doctoral degrees is 16232, and the total population is 220532. The required probability percentage is 16232/220532 x 100, approximately 7.36%, which rounds to 7%.

Multiple choice
  1. $17$
  2. $36$
  3. $27$
  4. $21$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Company E units sold in 2006: 1.4 (hundred). Company E units sold in 2007: 1.7 (hundred). Increase = (1.7 - 1.4) / 1.4 = 0.3 / 1.4 = 3/14 = 21.42%.

Multiple choice
  1. 0, 0, 1, 1, 1, 5, 7, 7, 7, 9, 9, 9, 9, 9

  2. 0, 0, 1, 1, 1, 5, 7, 7, 9, 9

  3. 0, 0, 1, 1, 5, 7, 9, 9

  4. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The frequency table shows: 0 appears 2 times, 1 appears 3 times, 5 appears 1 time, 7 appears 3 times, 9 appears 5 times. Listing these in order: 0, 0, 1, 1, 1, 5, 7, 7, 7, 9, 9, 9, 9, 9.