Question

there are 16 girls and 16 boys in mr. lees class. each student stacked as many blocks as they could with one hand in 10 seconds. the results are recorded on the bar graph below. class results of block stacking which of these statements comparing the data for the girls and the boys are true? choose all that are correct. a. the girls have a greater mean than the boys. b. the girls have a greater interquartile range than the boys. c. the girls have a greater standard deviation than the boys. d. the girls have a greater range than the boys. e. the girls have a greater median than the boys.

Explanation:

Step1: Recall statistical - measure concepts

Mean is the average value, median is the middle - value when data is ordered, range is the difference between the maximum and minimum values, inter - quartile range (IQR) is the difference between the third and first quartiles, and standard deviation measures the spread of data.

Step2: Analyze the bar graph visually

By observing the bar graph, we can see that the girls' data has a greater spread in terms of the range. The maximum and minimum values for girls have a larger difference compared to boys.

Answer:

D. The girls have a greater range than the boys.