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Relationship Among the
Averages
Dr. RMKV
SBKC
Relationship Among the Averages
• A.M > G.M. > H.M.
• E.g. 2,4,8 find AM,GM,HM
• AM =
2+4+8
3
=
14
3
= 4.67
• GM =
3
2𝑥 4 𝑥 8 =
3
64 = 4
• HM =
3
1
2
+
1
4
+
1
8
=
3
0.5+0.25+0.125
=
3
0.875
= 3.43
Relationship Among the Averages
• A.M = G.M. = H.M.
• E.g. 4,4,4 find AM,GM,HM
• AM =
4+4+4
3
=
12
3
= 4
• GM =
3
4𝑥 4 𝑥 4 =
3
64 = 4
• HM =
3
1
4
+
1
4
+
1
4
=
3
0.25+0.25+0.25
=
3
0.75
= 4
Relationship Among the Averages
• A.M > G.M. > H.M.
• A.M = G.M. = H.M.
• A.M ≥ G.M. ≥H.M.

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BS_2Relationship Among the Averages.pptx

  • 2. Relationship Among the Averages • A.M > G.M. > H.M. • E.g. 2,4,8 find AM,GM,HM • AM = 2+4+8 3 = 14 3 = 4.67 • GM = 3 2𝑥 4 𝑥 8 = 3 64 = 4 • HM = 3 1 2 + 1 4 + 1 8 = 3 0.5+0.25+0.125 = 3 0.875 = 3.43
  • 3. Relationship Among the Averages • A.M = G.M. = H.M. • E.g. 4,4,4 find AM,GM,HM • AM = 4+4+4 3 = 12 3 = 4 • GM = 3 4𝑥 4 𝑥 4 = 3 64 = 4 • HM = 3 1 4 + 1 4 + 1 4 = 3 0.25+0.25+0.25 = 3 0.75 = 4
  • 4. Relationship Among the Averages • A.M > G.M. > H.M. • A.M = G.M. = H.M. • A.M ≥ G.M. ≥H.M.