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A. find the mean, median and mode at the following data set.​

A Find The Mean Median And Mode At The Following Data Set class=

Sagot :

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