Q.5. I have a dataset and I make a histogram (on the next page) from it. (a) Wha
ID: 3047162 • Letter: Q
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Q.5. I have a dataset and I make a histogram (on the next page) from it. (a) What is n, the total number of observations in the original dataset? (b) How many measurement classes are in the Histogram? (c) List all the measurement classes (d) Is it a frequency or relative frequency histogram? (e) What is the proportion of all the data that fall within measure class [18, 20), i.e., the relative frequency of the measurement class [18, 20)? (f) What is the relative frequency of measure class (34, 36)? (g) What is the proportion of all the data that have values less than 30? (h) What is the proportion of all the data that have values greater than 22? 12 10 0 30 35 40 45 15 20 25 Value Figure 1: Histogram for Q.5.Explanation / Answer
(a) Total number of observations, n, can be obtained by summing up all the frequency values, associated with each of the bars of the given histogram. If we do this, we get, n = 1+3+2+3+4+7+11+6+2+3+3+2+1+1 = 49.
(b) We can find the number of measurement classes by counting the total number of frequency bars in the histogram. By doing this, we get total number of measurement classes = 14
(c) List of all measurement classes : 18-20, 20-22, 22-24, 24-26, 26-28, 28-30, 30-32, 32-34, 34-36, 36-38, 38-40, 40-42, 42-44, 44-46.
(d) Clearly, we observe from the histogram that it is Frequency histogram. Because the frequncy values are depicted in whole numbers and not fractions.
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