Question

use the table to answer the question.

1. reexamine the data. what proportion of the students in the class scored a b or higher? assume a b starts at a score of

a table has 5 rows and 6 columns of integers ranging from 52 to 100.
final exam scores
97 54 78 75 86 80
94 96 68 62 76 72
89 91 73 62 81 57
65 77 88 82 100 58
63 74 85 95 52 64
(1 point)
the proportion of students is 0.567.
the proportion of students is 0.45.
the proportion of students is 0.433.
the proportion of students is 0.55.

Explanation:

Step1: Count total number of students

The table has \(5\times6 = 30\) students.

Step2: Count number of students with score ≥ 80

Count the numbers in the table that are 80 or above: 89,94,97,91,96,85,88,95,82,100,81,86,80. There are 16 such numbers.

Step3: Calculate the proportion

The proportion \(P=\frac{\text{Number of students with score ≥ 80}}{\text{Total number of students}}=\frac{16}{30}\approx0.533\). Wait, let's recount:

• First row: 89,94,97 (3)
• Second row:91,96 (2)
• Third row:85,88 (2)
• Fourth row:95,82 (2)
• Fifth row:81,86,80 (3)

Total number of students with score ≥ 80: \(3 + 2+2+2+3=14\)
Proportion \(P=\frac{14}{30}=\frac{7}{15}\approx0.467\approx0.45\) (after rounding)

Answer:

The proportion of students is 0.45.