Paper Submitted Homework 3.docx

If yes which observation is a possible outlier and

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Is there any possible outlier in the dataset? If yes, which observation is a possible outlier  and why? If no, why are there no outliers in the dataset?  i. There was one possible outlier, 96. This could be an outlier because if falls  outside of the upper inner fence.  3) A hospital administration wants to understand the distribution of the time spent by patient  waiting for treatment at the emergency room. The waiting times (in minutes) recorded for a  random sample of 35 such patients are given below.  30 7 68 76 47 60 51 64 25 35 29 30 35 62  96 104 58 32 32 102 27  45 11 64 62 72 39 92  84 7 12 33 55 84 36  a. Using Microsoft Excel, draw the stem-and-leaf plot corresponding to this dataset. How  many peak/s does the distribution of the time spent by patient waiting for treatment at  the emergency room have based on the stem-and-leaf plot? Leaves = ones place
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3 KRISTA CLEARY – SECTION 1 i. The dataset has two peaks, one at the 30-39 min. mark, and another at the  60-69 min mark.   b. Is there a mode time spent by patients waiting for treatment at the emergency room? If  yes, what is the value of the mode? Label your answer properly. If no, why is there no  mode in the dataset?  i. Yes, there are multiple modes in this data set: 30, 32, 35, 47, 62, 64, 72, and  84.  c. Make a data distribution table for the time spent by patients waiting for treatment at the  emergency room using 8 classes. Include in the table the column of classes, frequency,  relative frequency, percentage, and midpoint. Round-off your values in the table to  FOUR (4) decimal places, if NECESSARY.  d. Compute for the three quartiles of the time spent by patients waiting for treatment at the  emergency room. Give the EXACT value. DO NOT ROUND-OFF the value. Label your answer properly.  i. Q1= 32 mins  ii. Q2 = 51 mins iii. Q3 = 72 mins
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4 KRISTA CLEARY – SECTION 1 e. What is the interquartile range of the data? Give the EXACT value. DO NOT ROUND- OFF the value. Label your answer properly.  i. IQR = 40 mins f. What are the values of the lower and upper inner fences? Give the EXACT values. DO  NOT ROUND-OFF the values. Label your answers properly.  i. Upper Inner Fence = -28  ii. Lower Inner Fence = 132 g. What are the values of the lower and upper adjacent values? Give the EXACT values.  DO NOT ROUND-OFF the values. Label your answers properly.  i. A- = 7  ii. A+ = 104 h. Using Microsoft Excel, draw the box-and-whiskers plot corresponding to this dataset.  Describe the shape of the distribution of the time spent by patient waiting for treatment  at the emergency room based on the box-and-whiskers plot.  i.
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  • Fall '12
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  • KRISTA CLEARY

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