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Constructing a Frequency Distribution Construct a
Chapter 2, Problem 30E(choose chapter or problem)
Problem 30E
Constructing a Frequency Distribution Construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
Book Spending
Number of classes: 6
Data set: Amounts (in dollars) spent on books for a semester
91 |
472 |
279 |
249 |
530 |
376 |
188 |
341 |
266 |
199 |
142 |
273 |
189 |
130 |
489 |
266 |
248 |
101 |
375 |
486 |
190 |
398 |
188 |
269 |
43 |
30 |
127 |
354 |
84 |
Questions & Answers
QUESTION:
Problem 30E
Constructing a Frequency Distribution Construct a frequency distribution for the data set using the indicated number of classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
Book Spending
Number of classes: 6
Data set: Amounts (in dollars) spent on books for a semester
91 |
472 |
279 |
249 |
530 |
376 |
188 |
341 |
266 |
199 |
142 |
273 |
189 |
130 |
489 |
266 |
248 |
101 |
375 |
486 |
190 |
398 |
188 |
269 |
43 |
30 |
127 |
354 |
84 |
ANSWER:
Solution
Step 1 of 2
We have to construct a frequency distribution with midpoint, relative frequency and cumulative frequency and also identify the class with highest frequency and the class with lowest frequency
Here Mid point is the middle value of the class interval
Relative frequency=
Cumulative frequency means the total of the frequencies up to that particular class
From the given data the frequency distribution is
Class interval |
Frequency |
Mid point |
Relative frequency |
Cumulative frequency |
0-100 |
4 |
50 |
0.1379 |
4 |
100-200 |
9 |
150 |
0.3104 |
13 |
200-300 |
7 |
250 |
0.2414 |
20 |
300-400 |
5 |
350 |
0.1724 |
25 |
400-500 |
3 |
450 |
0.1034 |
28 |
500-600 |
1 |
550 |
0.0345 |
29 |
Total |
29 |
1 |