5 20 22 27 30 17 12 15 16 9 18 13 12 28 19 3. Compute the five-number summary and the interquartile range. Any outliers?
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Solved in 4 steps
- Under each boxplot, write a comment about the presence or absence of any outliers (for example, there are __number of outliers or there are no outliers in the ________data)The set of data represents the annual consumption of soft drinks, in litres, by 20 families.212 185 68 267 450 349 618 320 278 348410 332 311 256 302 345 287 508 426 510a) Determine the interquartile range . b) Are there any outliers?1. The box and whisker plot shows the ages of people at a restaurant. 6 5 13 21 33 42 10 15 20 25 30 35 40 45 Part A: What percent of people are younger than 33 years old? Part B: The following data points are added to the data set. (6, 21, 45, 60). Which of the data points would be an outlier?
- Find the 5 number summary for the data shown 3 18 24 26 28 38 55 63 65 67 5 number summary: 3 65 64 64 X, 21 IQR:|| The 1.5 x IQR rule states that values between and are likely not outliers.In the data set below, 2 is an outlier: 2, 6, 7, 9, 10, 7, 8, 6, 10, 7 O True O FalseHere are the scores of 10 students in an introductory statistics course: 55 74 75 81 83 85 92 93 93 97 Find the interquartile range and use the 1.5 x IQR rule to check for outliers. How low would the lowest score need to be for it to be an outlier according to the rule?
- The data below shows the number of emails received per day at work by a professor during 16 consecutive days. Click here to open this data in StatCrunch. Emails/Day 19 8 15 55 11 21 20 13 22 10 15 36 26 14 12 15 25 a. Find the interquartile range (IQR). Show your handwritten work on the scratch paper. b. Are there any outliers in the data? Explain how your determined this.4. Given a data set 61, 72. 74, 74, 75, 77, 79, 88 (1) Calculate the IQR and determine any outliers. QL =P25: Q3 = P7s: (Q2 = P50 = 75) %3D IQR = Q3-Q1 1.5 IQK [Q1-1.5IQR, Q3+1.5IQR] =17.A scientist collects these measurements: 0.90,0.85, 0.64,0.94, 0.99, −0.02,0.56,,0.15, 0.73, 0.72, 0.89, 1.72, 0.52 Which statement is correct? A.The data value −0.02 is an outlier because it is the only number less than 0.00. b.The data value 1.72 is an outlier because it is greater than 1.5×IQR above the third quartile. C.The data value 1.72 is an outlier because it is the only number greater than 1.00 d.The data value −0.02is an outlier because it is less than 1.5×IQR below the first quartile.
- We are curious about the average number of Facebook friends that college students have. We take a simple random sample of 40 students and record the number of Facebook friends each student has. 1. Before we open the data set, what is our population, our sample, and our parameter of interest? 2. Using the graph, describe any significant features of the data set. What shape does it have? What is the range of the number of Facebook friends? Are there any outliers?Choose the correct answer.