The dot plots below show the ages of students belonging to two groups of salsa classes: Based on visual inspection, which group

Question

4 years ago

14

The dot plots below show the ages of students belonging to two groups of salsa classes: Based on visual inspection, which group

most likely has a lower mean age of salsa students? Explain your answer using two or three sentences. Make sure to use facts to support your answer. I need help with group B

Mathematics

2 answers:

Fittoniya [83] · Answer 1 · 2021-12-03T11:01:29+03:00

Answer with explanation:

Group A Group B

Age(Years) Frequency | Age(Years) Frequency

5 3 | 7 6

10 4 | 10 3

17 6 | 14 4

24 4 | 16 5

29 3 | 21 2

Mean of grouped frequency is given by

$=\frac{\sum(f_{i}x_{i})}{f_{i}}\\\\\text{Mean A}=\frac{5*3+10*4+17*6+24*4+29*3}{3+4+6+4+3}\\\\\text{Mean A}=\frac{15+40+102+96+87}{20}\\\\\text{Mean A}=\frac{340}{20}\\\\\text{Mean A}=17\\\\\text{Mean B}=\frac{7*6+10*3+14*4+16*5+21*2}{6+3+4+5+2}\\\\\text{Mean B}=\frac{42+30+56+80+42}{20}\\\\\text{Mean B}=\frac{260}{20}\\\\\text{Mean B}=13$

Mean of Group B is lower thanMean of Group A.

Leviafan [203] · Answer 2 · 2021-12-03T09:45:37+03:00

Group A:1 dot at 9: 1 x 9 = 97 dots at 10: 7 x 10 = 708 dots at 15: 8 x 15 = 1208 dots at 17: 8 x 17 = 1366 dots at 19: 6 x 19 = 114
Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97
Group B:6 dots at 10: 6 x 10 = 605 dots at 14: 5 x 14 = 706 dots at 18: 6 x 18 = 1085 dots at 25: 5 x 25 = 1254 dots at 28: 4 x 28 = 1124 dots at 29: 4 x 29 = 116
mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70
The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.