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 (?) Midpoint (?) ?? ??2 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 Page 4 of 7 12. 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 13. The estimated mean, to the nearest kCal, is approximately: A. 23 B. 21 C. 19 D. 25 14. The mode (kCal) is approximately: A. 20.0 B. 19.7 C. 21.8 D. 20.7 15. The standard deviation (in kCal) is approximately: A. 10.1 B. 8.5 C. 9.2 D. 9.8
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
(?)
Midpoint
(?)
?? ??2 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
Page 4 of 7
12. 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
13. The estimated mean, to the nearest kCal, is approximately:
A. 23
B. 21
C. 19
D. 25
14. The
A. 20.0
B. 19.7
C. 21.8
D. 20.7
15. The standard deviation (in kCal) is approximately:
A. 10.1
B. 8.5
C. 9.2
D. 9.8
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