BRANLIEST AND 50 POINTS!! PLEASE HELP ФωФ

The data modeled by the box plots represent the test scores, measured in percent, in two different periods of Mrs. Jenkins algebra 1 math class.

fill in the median, range and interquartile range (IQR)

Using complete sentences, compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent?

Using complete sentences, compare the range values of the data sets. What does this comparison tell you in terms of the situation the data represent?

Using complete sentences, compare the interquartile values of the data sets. What does this comparison tell you in terms of the situation the data represent?

The median is represented by the vertical line inside the box.
The range is determined by the difference between the maximum and minimum values.
The interquartile range (IQR) is represented by the length of the box.

Therefore, the mean, range and IQR for the 1st and 2nd periods are:

1st Period

Median = 80

Range = 96 - 60 = 36

IQR = 90 - 75 = 15

2nd Period

Median = 85

Range = 95 - 70 = 25

IQR = 92 - 80 = 12

Comparison of Median Values

The median value of the 1st period data set is 80, while the median value of the 2nd period data set is 85. This comparison suggests that, on average, the test scores in Mrs. Jenkins' algebra 1 math class were higher during the 2nd period compared to the 1st period. It indicates an improvement or a shift towards higher scores in the 2nd period.

Comparison of Range Values

The range of the 1st period data set is 36, while the range of the 2nd period data set is 25. This indicates that the variability or spread of test scores was greater during the 1st period compared to the 2nd period. In other words, there was a wider range of scores in the 1st period, suggesting more variability in student performance during that time.

Comparison of Interquartile Values

The interquartile range (IQR) of the 1st period data set is 15, while the IQR of the 2nd period data set is 12. This comparison suggests that the middle 50% of test scores were more tightly clustered around the median in the 2nd period compared to the 1st period. It indicates less variability in student performance within the middle range of scores during the 2nd period, potentially reflecting a more consistent performance among students.