CMAS CMAS Data Interpretation and Analysis 3

Question 1

A frequency table shows that 10 students scored 70–79, 15 scored 80–89, and 5 scored 90–99. What percentage of students scored 80 or above?

Accepted Answer

67%

Answer

Students scoring 80 or above: 15 + 5 = 20; total students: 10 + 15 + 5 = 30; 20/30 = 66.7% ≈ 67%.

Question 2

What does the interquartile range (IQR) measure in a data set?

Accepted Answer

The spread of the middle 50% of the data

Answer

The IQR is calculated as Q3 – Q1 and represents the spread of the middle 50% of the data, making it resistant to outliers.

Question 3

A histogram shows the distribution of test scores. If the bars are tallest in the middle and shorter at both ends, what shape is the distribution?

Accepted Answer

Bell-shaped (symmetric)

Answer

A bell-shaped distribution has the tallest bars in the middle and shorter bars tapering symmetrically on both sides.

Question 4

A student records the daily high temperatures for a week: 72, 75, 68, 80, 77, 73, 79. What is the range of this data?

Accepted Answer

12

Answer

Range = maximum – minimum = 80 – 68 = 12.

Question 5

Which type of graph would best display the proportion of a school's budget allocated to different departments?

Accepted Answer

Pie chart

Answer

A pie chart shows how a whole is divided into parts, making it ideal for displaying proportions or percentages of a total.

CMAS - Colorado Measures of Academic Success Practice Test