Question

Problem 1: The following data represents the scores of the final examination. 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 (a) Create a frequency distribution table with five classes. The table should have the following columns: classes, frequency and relative frequency. (b) Draw a frequency Histogram diagram. (c) Calculate the mean and standard deviation of the sample using the formulas of grouped data. Expand the above table, add more columns needed for the calculations. Show all calculations. Do not skip any step.

          Problem 1: The following data represents the scores of the final examination.

23 60 79 32 57 74 52 70 82
36 80 77 81 95 41 65 92 85
55 76 52 10 64 75 78 25 80
98 81 67 41 71 83 54 64 72
88 62 74 43 60 78 89 76 84
48 84 90 15 79 34 67 17 82
69 74 63 80 85 61

(a) Create a frequency distribution table with five classes. The table should have the following columns: classes, frequency and relative frequency.
(b) Draw a frequency Histogram diagram.
(c) Calculate the mean and standard deviation of the sample using the formulas of grouped data. Expand the above table, add more columns needed for the calculations. Show all calculations. Do not skip any step.

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Problem 1: The following data represents the scores of the final examination.

23 60 79 32 57 74 52 70 82
36 80 77 81 95 41 65 92 85
55 76 52 10 64 75 78 25 80
98 81 67 41 71 83 54 64 72
88 62 74 43 60 78 89 76 84
48 84 90 15 79 34 67 17 82
69 74 63 80 85 61

(a) Create a frequency distribution table with five classes. The table should have the following columns: classes, frequency and relative frequency.
(b) Draw a frequency Histogram diagram.
(c) Calculate the mean and standard deviation of the sample using the formulas of grouped data. Expand the above table, add more columns needed for the calculations. Show all calculations. Do not skip any step.

Added by Mercedes B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Shaiju T

04/22/2022

Step 1

Step 1: Arrange the data in ascending order: 3, 5, 6, 8, 33, 36, 38, 40, 45, 50 Show more…

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Problem 1: The following data represents the scores of the final examination. (a) Create a frequency distribution table with five classes. The table should have the following columns: classes, frequency and relative frequency. (b) Draw a frequency Histogram diagram. (c) Calculate the mean and standard deviation of the sample using the formulas of grouped data. Expand the above table, add more columns needed for the calculations. Show all calculations. Do not skip any step.

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Transcript

00:01 Here everyone in this question we have in a part stem and leaf plot the data is given and now in the final stem and leaf chart the data is from 0 to 9 and this is the answer of a part and in the b part we have to calculate relative frequency distribution relative frequency distribution for this we have three rows three columns that is class frequency and relative frequency class frequency and relative frequency.

00:34 Now we have classes, different classes like 0 to 16, 17 to 33 given in the equation 34 to 50, 51 to 67, 68 to 85 to 100.

00:49 And the frequency of this is 4, 6, 17, 11, 10, 2.

00:55 And we have to calculate relative frequency and after calculating we get 0 .08, 0 .12, 0 .34, 0 .22, 0 .20 and 0 .04.

01:06 And the total is, the total of frequency is 50 and the total of relative frequency is equal to 1.

01:13 This is the end of b part and in the c part we have to find a histogram, relative frequency histogram.

01:23 For histogram, firstly we have to convert classes into continuous classes.

01:28 For histogram, firstly we have to convert classes into continuous classes.

01:34 Now the classes are 0 to 16, 17 to 33 as we have in the b part.

01:39 And now for continuous classes we will be converting into continuous classes like 0 to 16 .5, 16 .5 to 33 .5 and so on.

01:54 33 .5 to 50 .5, 50 .5 to 67 .5.

01:59 67 .5 to 84 .5 and 84 .5 to 100 and the relative frequency of this is equal to that we have founded in the b part...

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