Answer:
Class Frequency
28 - 29 1
26 - 27 3
24 - 25 3
22 - 23 3
20 - 21 6
18 - 19 6
16 - 17 8
14 - 15 6
12 - 13 10
10 - 11 14
Mean - 16.2333
Median - 15.5
Mode - 11.0556
Step-by-step explanation:
Mean:
= 18.5 + 68/60 ⋅ -2
= 18.5 + 1.1333 ⋅ -2
= 18.5 + -2.2667
= 16.2333
Median:
= 17.5 + (30 - 22) / 8 ⋅ -2
= 17.5 + 8 / 8 ⋅ -2
= 17.5 + -2
= 15.5
Mode:
The mode class is 11.5 - 9.5.
L = Lower boundary point of mode class = 11.5
f1 = Frequency of the mode class = 14
f0 = Frequency of the preceding class = 10
f2 = Frequency of the succeeding class = 0
c = Class length of mode class = -2
= 11.5 + [(14 - 10) / 2 ⋅ 14 - 10 - 0] ⋅ -2
= 11.5 + 4 / 18 ⋅ -2
= 11.5 + -0.4444
= 11.0556
