Steve determined the number of states each of his friends has visited. which statement must be true according to the box plot?

a. the data is skewed left and shows that half of steve’s friends have visited 4 to 10 states.

b. the data is skewed left and shows that half of steve’s friends have visited 10 to 40 states.

c. the data is skewed right and shows that half of steve’s friends have visited 4 to 10 states.

d. the data is skewed right and shows that half of steve’s friends have visited 10 to 40 states.

C. The data is skewed right and shows that half of Steve’s friends have visited 4 to 10 states.

Step-by-step explanation:

Data

quartile 1 (Q1): 4

quartile 2 (Q2,  median): 8

quartile 3 (Q3): 10

Interquartile range (IQR): 4 to 10

Lower value: 1

Higher value: 40

Data range from  Lower value to median: 1 to 8

Data range from  median to Higher value: 8 to 40

From IQR we know that 50% of data, i.e. half of Steve’s friends, have visited 4 to 10 states.

The bigger distance between median to Higher value than Lower value to median means the data is skewed right.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: