Question

mathematics. math 003. fall 2025
hw score: 52.17%, 24 of 46 points
question 18, 7.3.rc - 2
points: 0 of 1
the following set of data represents the grades a certain student earned in prealgebra quizzes.
quiz 1 2 3 4 5 6 7
grade 75 80 65 90 75 60 95
which of the following is a correct statement about this data?
a. the mean of this data cannot be calculated.
b. the mode of this data is 75.
c. the mean of this data is less than 60.
d. the median of this data is 60.

Explanation:

Step1: Recall definitions

Mean = $\frac{\text{Sum of all values}}{\text{Number of values}}$, mode is the most - frequently occurring value, median is the middle value when data is arranged in ascending order.

Step2: Calculate the mean

Sum of values: $75 + 80+65 + 90+75+60+95=540$. Number of values $n = 7$. Mean=$\frac{540}{7}\approx77.14$.

Step3: Find the mode

The value 75 appears twice, and all other values appear once. So the mode is 75.

Step4: Find the median

Arrange data in ascending order: $60,65,75,75,80,90,95$. The middle value (4th value as $n = 7$) is 75.

Answer:

B. The mode of this data is 75.