Exercise 2 Table 23 contains the daily high temperatures at the Cleveland

Exercise 2 table 23 contains the daily high

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Exercise 2 : Table 2.3 contains the daily high temperatures at the Cleveland National Weather Service forecast off for the month of May, 2015. Use the data to construct a frequency distribution with 6 classes. Table 2.2 66 89 79 62 85 72 88 73 72 83 79 86 82 82 60 81 88 80 82 69 65 69 85 70 51 51 83 82 64 59 77
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Module 1: Organizing Data – The Frequency Distribution Here are three exercises for you to work through. My recommendation is that you attempt to do each of these without looking at my solution. Then, after completing it, look at the solution. Hopefully after you do all three, you’ll have a very good handle on how to convert raw data to a frequency distribution. Exercise 3 : Table 2.4 is a partially completed frequency distribution for a data set. Complete it. Table 2.4 Class Interval F 0 to under 5 6 5 to under 10 8 10 to under 15 17 15 to under 20 23 20 to under 25 18 25 to under 30 10 30 to under 35 4
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Module 1: Organizing Data – The Frequency Distribution Exercise 1 Solution Table 2.2 14 34 42 35 33 9 23 30 22 27 8 9 20 7 14 20 16 15 19 29 18 47 44 21 19 6 10 28 32 43
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Module 1: Organizing Data – The Frequency Distribution Exercise 1 Solution Step 1: Find the range. Sort data into ascending order. 47-6 = 41 Step 2: Decide how many classes the data will be grouped into. 7 (Given) Step 3: Determine the width (w) of the class intervals. W = Class Width (W) = = = 5.8751 Will round up to 6 6 7 8 9 9 10 14 14 15 16 18 19 19 20 20 21 22 23 27 28 29 30 32 33 34 35 42 43 44 47
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Module 1: Organizing Data – The Frequency Distribution Exercise 1 Solution Step 4: Select the endpoints (beginning point and end point) of each class interval. Step 5: Determine the frequency (F) in each class interval. Step 6: Determine the midpoint (MP) of each class interval. 6 7 8 9 9 10 6 14 14 15 16 4 18 19 19 20 20 21 22 23 8 27 28 29 3 30 Class Interval F MP 6 to under 12 6 9 12 to under 18 4 15 18 to under 24 8 21 24 to under 30 3 27 30 to under 36 5 33 36 to under 42 0 39 42 to under 48 4 45 n = 30
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Module 1: Organizing Data – The Frequency Distribution Exercise 1 Solution Step 7: Determine the relative frequency of each class interval. Step 8: Determine the cumulative frequency of each class interval. Note: As a general rule in this class, always round 4 decimal places unless the digits end completely before 4 decimal places. For example, if the answer is 1.5 exactly, you don’t have to write 1.5000. But if it’s 1.49876943, the correct answer is 1.4988. Excel will round for you to any number of decimal places you tell it. Class Interval F MP RF CF (%) CF (Raw) 6 to under 12 6 9 0.2000 0.2000 6 12 to under 18 4 15 0.1333 0.3333 10 18 to under 24 8 21 0.2667 0.6000 18 24 to under 30 3 27 0.1000 0.7000 21 30 to under 36 5 33 0.1667 0.8667 26 36 to under 42 0 39 0.0000 0.8667 26 42 to under 48 4 45 0.1333 1.0000 30 n = 30
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Module 1: Organizing Data – The Frequency Distribution Exercise 2 Solution Table 2.3 Step 1: Find the range. Sort data into ascending order. 89-51 = 38 Step 2: Decide how many classes the data will be grouped into. 6 (Given) Step 3: Determine the width (w) of the class intervals. W = Class Width (W) = = = 6.3333 Will round up to 6.5 66 89 79 62 85 72 88 73 72 83 79 86 82 82 60 81 88 80 82 69 65 69 85 70 51 51 83 82 64 59 77 51 51 59 60 62 64 65 66 69 69 70 72 72 73 77 79 79 80 81 82 82 82 82 83 83 85 85 86 88 88 89
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Module 1: Organizing Data – The Frequency Distribution Exercise 2 Solution Step 4: Select the endpoints (beginning point and end point) of each class interval.
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