Pertanyaan

Of the 15 students in a class who took the math test, the highest score was 90 and the lowest score was 30 . What was the average value that might occur? ( 1 ) . 33 ( 3 ) . 87 cm ( 2 ) . 34 ( 4 ) . 84 cm

Of the $15$ students in a class who took the math test, the highest score was $90$ and the lowest score was $30$ . What was the average value that might occur?

$(1) . 33 (3) . 87 cm (2) . 34 (4) . 84 cm$

(1), (2) and (3) ONLY correct
(1) and (3) ONLY correct
(2) and (4) ONLY correct
ONLY (4) that correct
ALL choices are correct

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L. Nikmah

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

the correct answer is C.

Pembahasan

Of the 15 students withthe highest score was 90 and the lowest score was 30 , then: The highest possible average score is achieved when 14 students got a score of 90 and one studentscore 30 : 15 ( 14 × 90 ) + 30 = 15 1260 + 30 = 15 1290 = 86 The lowest possible average score occurs when only one student got 90 and 14 other students got 30 : 15 ( 14 × 30 ) + 90 = 15 420 + 90 = 15 510 = 34 Thus, the average range occurs between 34 to 86 . So, the mean of 34 and 86 is possible. Statements (2) and (4) ONLY correct. Therefore, the correct answer is C.

Of the $15$ students with the highest score was $90$ and the lowest score was $30$ , then:

The highest possible average score is achieved when $14$ students got a score of $90$ and one student score $30$ :

$\frac{( 14 \times 90 ) + 30}{15} = \frac{1260 + 30}{15} = \frac{1290}{15} = 86$

The lowest possible average score occurs when only one student got $90$ and $14$ other students got $30$ :

$\frac{( 14 \times 30 ) + 90}{15} = \frac{420 + 90}{15} = \frac{510}{15} = 34$

Thus, the average range occurs between $34$ to $86$ . So, the mean of $34$ and $86$ is possible. Statements (2) and (4) ONLY correct.

Therefore, the correct answer is C.

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