Question

statistical measurements mc
the list represents a students grades on tests in their math class: 59, 65, 70, 80, 98, 71, 45, 79, 77, 85.
find the mean and interpret its meaning as it relates to the students overall work in the course.
options:

• the mean is 72.9 and shows that the student has an average grade and understanding of the subject but struggles at times.
• the mean is 74 and shows that the student has a poor grade and struggles understanding the subject.
• the mean is 80.6 and shows that the student has an average grade and understanding of the subject.
• the mean is 98 and shows that the student has a high average grade and fully understands the subject.

question 2 (multiple choice worth 2 points) (statistical measurements lc)
the list represents a students grades on tests in their math class: 59, 65, 70, 80, 98, 71, 45, 79, 77, 85.
find the range for the data set.
options: 45, 53, 74, 98

Explanation:

Question 1 (Mean Calculation)

Step1: Sum the grades

The grades are 59, 65, 70, 80, 98, 71, 45, 79, 77, 85.
Sum = \( 59 + 65 + 70 + 80 + 98 + 71 + 45 + 79 + 77 + 85 \)
Calculate step - by - step:
\( 59+65 = 124 \); \( 124 + 70 = 194 \); \( 194+80 = 274 \); \( 274 + 98 = 372 \);
\( 372+71 = 443 \); \( 443+45 = 488 \); \( 488+79 = 567 \); \( 567+77 = 644 \); \( 644+85 = 729 \)

Step2: Calculate the mean

There are 10 grades. Mean = \( \frac{\text{Sum}}{\text{Number of grades}}=\frac{729}{10}=72.9 \)

A mean of 72.9 is average, and since there are lower grades (like 45, 59) and higher ones, it shows the student has an average grade and struggles at times.

Step1: Identify max and min

In the data set 59, 65, 70, 80, 98, 71, 45, 79, 77, 85, the minimum value is 45 and the maximum value is 98.

Step2: Calculate the range

Range = Maximum - Minimum = \( 98 - 45 = 53 \)

Answer:

The mean is 72.9 and shows that the student has an average grade and understanding of the subject but struggles at times.

Question 2 (Range Calculation)