Constructing a Frequency Histogram Cell phone screen times (minutes) for 30 U.S. adults on a recent day. Construct a frequency distribution that has seven classes. The minimum value is 155 and the maximum value is 405. 155 238 266 296 315 345 165 239 271 303 317 352 168 241 276 306 330 384 195 252 290 307 342 400 200 256 293 312 345 405 width = 405-155 7 = 35.71 round to 36 Class Class Boundaries point Mid Frequency Relative Cumulative Frequency Frequency Class interval - use the min value for lower limit of 1st class then add the class width of 36 to the lower limit of each consecutive class. The upper limit of the 1st class is 190 (one less than the lower limit of the 2nd class) Class boundaries for integer data- subtract 0.5 from the lower class limit and add 0.5 to the upper class limit. Class midpoint -the average of the lower and upper limits of the class. Cum. frequency -sum of the frequencies of that class and all previous classes. 13 Class Class Mid Frequency Relative Cumulative Boundaries point Frequency Frequency 3/30=.1 172.5 3 154.5-190.5 155-190 3 208.5 191-226 190.5-226.5 2 2/30=.07 5 UT 227-262 226.5- 262.5 244.5 5 5/30=-.17 10 280.5 6 263-298 262.5-298.5 6/30=.2 16 298.5-334.5 316.5 299-334 7/30=.23 7 23 335-370 334.5-370.5 352.5 4 4/30=.13 27 388.5 370.5-306.5 3 3/30=.1 371-406 30
Constructing a Frequency Histogram Cell phone screen times (minutes) for 30 U.S. adults on a recent day. Construct a frequency distribution that has seven classes. The minimum value is 155 and the maximum value is 405. 155 238 266 296 315 345 165 239 271 303 317 352 168 241 276 306 330 384 195 252 290 307 342 400 200 256 293 312 345 405 width = 405-155 7 = 35.71 round to 36 Class Class Boundaries point Mid Frequency Relative Cumulative Frequency Frequency Class interval - use the min value for lower limit of 1st class then add the class width of 36 to the lower limit of each consecutive class. The upper limit of the 1st class is 190 (one less than the lower limit of the 2nd class) Class boundaries for integer data- subtract 0.5 from the lower class limit and add 0.5 to the upper class limit. Class midpoint -the average of the lower and upper limits of the class. Cum. frequency -sum of the frequencies of that class and all previous classes. 13 Class Class Mid Frequency Relative Cumulative Boundaries point Frequency Frequency 3/30=.1 172.5 3 154.5-190.5 155-190 3 208.5 191-226 190.5-226.5 2 2/30=.07 5 UT 227-262 226.5- 262.5 244.5 5 5/30=-.17 10 280.5 6 263-298 262.5-298.5 6/30=.2 16 298.5-334.5 316.5 299-334 7/30=.23 7 23 335-370 334.5-370.5 352.5 4 4/30=.13 27 388.5 370.5-306.5 3 3/30=.1 371-406 30
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 2GP
Related questions
Question
Constructing a frequency histogram: Answers are already provided. Please show how to find class, boundaries, midpoint, frequency, relative frequency and cumulative frequency in each column. Please show all steps.
Transcribed Image Text:Constructing a Frequency Histogram
Cell phone screen times (minutes) for 30 U.S. adults on a recent
day. Construct a frequency distribution that has seven classes.
The minimum value is 155 and the maximum value is 405.
155 238 266 296 315 345
165 239 271 303 317 352
168 241 276 306 330 384
195 252 290 307 342 400
200 256 293 312 345 405
width =
405-155
7
= 35.71 round to 36
Class
Class
Boundaries point
Mid
Frequency Relative
Cumulative
Frequency Frequency
Class interval - use the min value for
lower limit of 1st class then add the class
width of 36 to the lower limit of each
consecutive class.
The upper limit of the 1st class is 190
(one less than the lower limit of the 2nd
class)
Class boundaries for integer data-
subtract 0.5 from the lower class limit
and add 0.5 to the upper class limit.
Class midpoint -the average of the
lower and upper limits of the class.
Cum. frequency -sum of the frequencies
of that class and all previous classes.
13
Transcribed Image Text:Class
Class
Mid Frequency Relative
Cumulative
Boundaries point
Frequency Frequency
3/30=.1
172.5
3
154.5-190.5
155-190
3
208.5
191-226
190.5-226.5
2
2/30=.07
5
UT
227-262
226.5-
262.5
244.5
5
5/30=-.17
10
280.5
6
263-298
262.5-298.5
6/30=.2
16
298.5-334.5
316.5
299-334
7/30=.23
7
23
335-370
334.5-370.5
352.5
4
4/30=.13
27
388.5
370.5-306.5
3
3/30=.1
371-406
30
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