Answered: The values of A and B, respectively,…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Question

Refer to the (incomplete) grouped frequency table data below which depicts the calorie content (in kCal) in 10 grams of 45 different brands of biscuits.


Calorie content (KCal)	Number of brands (f)	Midpoint (m)	fm	fm²	Cumulative frequency
0 < 8	3	4	12	48	3
8 < 16	8	12	96	1152	11
16 < 24	A	20	360	7200	29
24 < 32	11	28	B	8624	40
32 < 40	5	36	180	6480	45
Σ	45	-			-

11. The values of A and B, respectively, are:
A. 18 and 340
B. 16 and 308
C. 18 and 380
D. 18 and 308

The values of Σ?? and Σ??2, respectively, are:
A. 956 and 23504
B. 965 and 23504
C. 956 and 24305
D. 956 and 25304

The estimated mean, to the nearest kCal, is approximately:
A. 23
B. 21
C. 19
D. 25

The mode (kCal) is approximately:
A. 20.0
B. 19.7
C. 21.8
D. 20.7

The standard deviation (in kCal) is approximately:
A. 10.1
B. 8.5
C. 9.2
D. 9.8

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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