Given the following box plot a which quarter has the smalles

Given the following box plot: a. which quarter has the smallest spread of data? What is that spread? b. which quarter has the largest spread of data? What is that spread? c. find the interquartile range (IQR). d. are there more data in the interval 5?10 or in the interval 10?13? How do you know this? e. which interval has the fewest data in it? How do you know this? i. 0-2 ii. 2-4 iii 10-12 iv 12-13 v. need more information Given the following box plots, answer the questions. a. In complete sentences, explain why each statement is false. i. Data 1 has more data values above two than Data 2 has above two. ii. The data sets cannot have the same mode. iii. For Data 1 there are more data values below four than there are above four. b. For which group, Data 1 or Data 2, is the value of 7 more likely to be an outlier? Explain why in complete sentences.

Solution

1a. 4th quarter has the smallest spread of 1

b. 2nd quarter has the largest spread of 8

c. IQR=12-2=10

d. 10-13 interval because it contains 50% of the data

e. 2-4 has the least amount of data because it is the only one less than a quarter

2a. There is a larger percentage of data above 2 in the top plot, but we don\'t know that there are more points.

Boxplots do not give any information about mode, so we cannot conclude they do not have the same mode.

4 is right at the median line, so there is exactly 50% of data above and below 4.

b. 7 is more likely to be an outlier for data 2 because it is much farther away from the interquartile range than data 1.

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