Concept explainers
NASDAQ 100 Stocks For Exercises 1-10, the data come from a random sample of 20 companies of the NASDAQ 100 taken on June 8, 2017. (Data from: www.morningstar.com.)
For Exercises 1 and 2, (a) write a frequency distribution; (b) draw a histogram.
The variable is the price of the stock (rounded to the nearest dollar).
123 | 35 | 76 | 38 |
45 | 62 | 50 | 111 |
180 | 108 | 65 | 46 |
66 | 100 | 64 | 144 |
57 | 107 | 48 | 110 |
(a)
Explanation of Solution
Given:
Consider the data came from a random sample of 20 companies of NASDAQ 100
123 | 35 | 76 | 38 |
45 | 62 | 50 | 111 |
180 | 108 | 65 | 46 |
66 | 100 | 64 | 144 |
57 | 107 | 48 | 110 |
Calculation:
To draw the frequency table, sort the data set
35,38,45, 46,48,50,57,62,64,65,66,76,100,107,108,110,111,123,144,180
There is no repetition of data therefore the frequency of occurrence is 1 for all the data set hence the frequency distribution is
35 | 1 | 66 | 1 |
38 | 1 | 76 | 1 |
45 | 1 | 100 | 1 |
46 | 1 | 107 | 1 |
48 | 1 | 108 | 1 |
50 | 1 | 110 | 1 |
57 | 1 | 111 | 1 |
62 | 1 | 123 | 1 |
64 | 1 | 144 | 1 |
65 | 1 | 180 | 1 |
(b)
To graph: Draw the histogram corresponding to the corresponding to the data came from a random sample of 20 companies of NASDAQ 100.
Explanation of Solution
Given:
Consider the data came from a random sample of 20 companies of NASDAQ 100
123 | 35 | 76 | 38 |
45 | 62 | 50 | 111 |
180 | 108 | 65 | 46 |
66 | 100 | 64 | 144 |
57 | 107 | 48 | 110 |
Calculation:
To draw the frequency table sort the data set
35,38,45, 46,48,50,57,62,64,65,66,76,100,107,108,110,111,123,144,180
There is no repetition of data therefore the frequency of occurrence is 1 for all the data set hence the frequency distribution is
35 | 1 | 66 | 1 |
38 | 1 | 76 | 1 |
45 | 1 | 100 | 1 |
46 | 1 | 107 | 1 |
48 | 1 | 108 | 1 |
50 | 1 | 110 | 1 |
57 | 1 | 111 | 1 |
62 | 1 | 123 | 1 |
64 | 1 | 144 | 1 |
65 | 1 | 180 | 1 |
Range | Frequency |
20-40 | 2 |
40-60 | 5 |
60-80 | 5 |
80-100 | 0 |
100-120 | 5 |
120-140 | 1 |
140-160 | 1 |
160-180 | 0 |
180-200 | 1 |
The y-axis represents frequency with a scale of
Hence, the histogram corresponding to the corresponding to the data came from a random sample of 20 companies of NASDAQ 100 is drawn.
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Chapter 10 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
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