Question

Ex. 1 Refer to the following histograms and box plot. Determine which of the following are true and which are fale Explain your solution to each part in complete sentences 4 2 The medians for all three graphs are the same. a. b. Look at data (c). Which interval has the fewest data in it? How do you know this? 3. 4-6 2. 1-3 1. 0-1.5 iThe standard deviation for (b) is larger than the standard deviation for (a). d. We cannot determine if any of the third quartiles for the three graphs is different. C. fertilizer supplied to tomato

Answer 1

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Here are answer, with all detailed explanations

a. TRUE. Mode or the 50th percentile value is 3 in the first 2 graphs. In the c. box plot the mid line in the box is the median i.e. 3

b. The distribution is right skewed, so data points between a fixed range in the right will less than in the left. Hence, 3. 4-6 ( rightmost) will have the fewest data points

c. TRUE, because in b) extreme values from the mean are more in frequency than in a), which will increase the standard deviation for b) than for a)

d. FALSE. We can . In c) the end of box is Q3 or the third quartile at 6. 6 is not within the whole range in a) and b), hence Q3 is not same for the 3 graphs