Question

Math Quick Check. 1 correct answer per question.

1. The numbers of miles Ron biked are 31, 25, 48, 32, 45, 29, 33, 28, and 40. Determine the range of this data set.
a. 18 miles
b. 23 miles
c. 9 miles
d. 35.8 miles

2. A science class recorded the number of minutes each student spent on a project
A graph is shown.
1 label says student
the 2nd label says minutes
the numbers on label 1 are, 1, 2, 3, 4, 5, 6, and 7
the 2nd label has numbers of, 30, 45, 40, 50, 35, 60, and 55.
What is the interquartile range?
a. 25
b. 20
c. 15
d. 10

3. What does the mean absolute deviation (MAD) tell you about a data set?
a. The difference between the highest and lowest values
b. How far data values are, on average, from the mean
c. The middle number in a data set
d. The most frequent value in a data set

4. Two volleyball teams played 5 matches each. The number of points they scored is shown below:
a graph is shown

at the top it says match with the numbers 1 through 5

there are 2 other labels that are
label 1 is Team A that have the numbers of 18, 22, 35, 25, and 40
label 2 is Team B that have the numbers of 29, 30, 31, 30, and 32
Which team has the greater MAD, and what does this tell you?
a. Team B; their scores are more spread out
b. Team A; their scores are more consistent
c. Both teams have the same MAD
d. Team A; their scores are more spread out

Answers

GPT-4o mini
Here are the correct answers for each question:

1. To find the range, subtract the smallest value from the largest value in the data set. The smallest number is 25 and the largest is 48.

Range = 48 - 25 = 23 miles.
**Answer: b. 23 miles**

2. To calculate the interquartile range (IQR), arrange the data and find Q1 and Q3. The data set is: 30, 35, 40, 45, 50, 55, 60.

Q1 (median of first half) = 35, Q3 (median of second half) = 50.

IQR = Q3 - Q1 = 50 - 35 = 15.
**Answer: c. 15**

3. The mean absolute deviation (MAD) describes how data values deviate from the mean on average.

**Answer: b. How far data values are, on average, from the mean**

4. To find the MAD for each team, calculate the mean for each team and then the average of the absolute deviations from that mean. Although we don't perform the calculations here, generally:

- Team A has scores that are more spread out compared to Team B.
**Answer: d. Team A; their scores are more spread out**

Let me know if you need further explanations!