100 points. It's urgent. please answer it quickly.
Answers
Solution :----
Xi Fi XiFi
15 2. 30
45 3. 135
75 f1 75f1
105 10 1050
135 3. 405
165 f2 165f2
195 2. 390
_______20+f1+f2_______(2010+75f1+165f2)
Given Fi = 30 ,
→ 20 + f1 + f2 = 30
→ f1 + f2 = 30-20 = 10
→ f1 + f2 = 10
→ f1 = (10-f2) -------------------- Equation (1)
Now,
Sum of Fixi = (2010 + 75f1 + 165f2)
Mean = (sum of Fixi) / (Sum of fi)
→ Mean = (2010 + 75f1 + 165f2) / 30
Given mean is now 107,
So, Putting this we get,
→ 107 = (2010 + 75f1 + 165f2) / 30
→ (2010 + 75f1 + 165f2) = 107 * 30
→ 75f1 + 165f2 = 3210 - 2010
→ 75f1 + 165f2 = 1200 -------------------- Equation (2)
_________________
Putting value of Equation (1) in Equation (2) now we get,
→ 75(10-f2) + 165f2 = 1200
→ 750 - 75f2 + 165f2 = 1200
→ 90f2 = 450
→ f2 = 450/90
→ f2 = 5
Putting in Equation (1) now,
→ f1 = 10-f2 = 10-5 = 5 .
Hence, value of f1 and f2 both is 5 .
Step-by-step explanation:
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kunjean5072
Kunjean5072Maths AryaBhatta
Solution :----
Xi Fi XiFi
15 2. 30
45 3. 135
75 f1 75f1
105 10 1050
135 3. 405
165 f2 165f2
195 2. 390
_______20+f1+f2_______(2010+75f1+165f2)
Given Fi = 30 ,
→ 20 + f1 + f2 = 30
→ f1 + f2 = 30-20 = 10
→ f1 + f2 = 10
→ f1 = (10-f2) -------------------- Equation (1)
Now,
Sum of Fixi = (2010 + 75f1 + 165f2)
Mean = (sum of Fixi) / (Sum of fi)
→ Mean = (2010 + 75f1 + 165f2) / 30
Given mean is now 107,
So, Putting this we get,
→ 107 = (2010 + 75f1 + 165f2) / 30
→ (2010 + 75f1 + 165f2) = 107 * 30
→ 75f1 + 165f2 = 3210 - 2010
→ 75f1 + 165f2 = 1200 -------------------- Equation (2)
_________________
Putting value of Equation (1) in Equation (2) now we get,
→ 75(10-f2) + 165f2 = 1200
→ 750 - 75f2 + 165f2 = 1200
→ 90f2 = 450
→ f2 = 450/90
→ f2 = 5
Putting in Equation (1) now,
→ f1 = 10-f2 = 10-5 = 5 .