## RS Aggarwal Class 9 Solutions Chapter 14 Statistics Ex 14E

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14E.

**Other Exercises**

- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14A
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14B
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14C
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14D
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14E
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14F
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14G
- RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14H

**Question 1.**

**Solution:**

Mean marks of 7 students = 226

∴Total marks of 7 students = 226 x 1 = 1582

Marks obtained by 6 of them are 340, 180, 260, 56, 275 and 307

∴ Sum of marks of these 6 students = 340 + 180 + 260 + 56 + 275 + 307 = 1418

∴ Marks obtained by seventh student = 1582 – 1418 = 164 Ans.

**Question 2.**

**Solution:**

Mean weight of 34 students = 46.5 kg.

∴ Total weight of 34 students = 46.5 x 34 kg = 1581 kg

By including the weight of teacher, the mean weight of 35 persons = 500 g + 46.5 kg

= 46.5 + 0.5 = 47.0 kg

∴ Total weight = 47.0 x 35 = 1645 kg

∴ Weight of the teacher = (1645 – 1581) kg = 64 kg Ans.

**Question 3.**

**Solution:**

Mean weight of 36 students = 41 kg

∴ Total weight of 36 students = 41 x 36 kg = 1476 kg

After leaving one student, number of students = 36 – 1 =35

Their new mean = 41.0 – 200g = (41.0 – 0.2) kg = 40.8 kg.

∴ Total weight of 35 students = 40.8 x 35 = 1428 kg

∴ Weight of leaving student = (1476 – 1428) kg = 48 kg Ans.

**Question 4.**

**Solution:**

Average weight of 39 students = 40 kg

∴ Total weight of 39 students = 40 x 39 = 1560 kg

By admitting of a new student, no. of students = 39 + 1 =40

and new mean = 40 kg – 200 g = 40 kg – 0.2 kg = 39.8 kg

∴Weight of 40 students = 39.8 x 40 kg = 1592 kg

∴Weight of new student = 1592 – 1560 kg = 32 kg Ans.

**Question 5.**

**Solution:**

Average salary of 20 workers = Rs. 7650

∴Their total salary = Rs. 7650 x 20 = Rs. 153000

By adding the salary of the manager, their mean salary = Rs. 8200

∴Their total salary = Rs. 8200 x 21 = Rs. 172200

∴Salary of the manager = Rs. 172200 – Rs. 153000 = Rs. 19200 Ans.

**Question 6.**

**Solution:**

Average wage of 10 persons = Rs. 9000

Their total wage = Rs. 9000 x 10 = Rs. 90000

Wage of one person among them = Rs. 8100

and wage of new member = Rs. 7200

∴ New total wage = Rs. (90000 – 8100 + 7200) = Rs. 89100

Their new mean wage = Rs.\(\frac { 89100 }{ 10 } \) = Rs. 8910

**Question 7.**

**Solution:**

Mean consumption of petrol for 7 months of a year = 330 litres

Mean consumption of petrol for next 5 months = 270 litres

∴Total consumption for first 7 months = 7 x 330 = 2320 l

and total consumption for next 5 months = 5 x 270 = 1350 l

Total consumption for 7 + 5 = 12 months = 2310 + 1350 = 3660 l

Average consumption = \(\frac { 3660 }{ 12 } \) = 305 liters per month.

**Question 8.**

**Solution:**

Total numbers of numbers = 25

Mean of 15 numbers = 18

∴Total of 15 numbers = 18 x 15 = 270

Mean of remaining 10 numbers = 13

∴Total = 13 x 10 = 130

and total of 25 numbers = 270 + 130 = 400

∴Mean = \(\frac { 400 }{ 25 } \) = 16 Ans.

**Question 9.**

**Solution:**

Mean weight of 60 students = 52.75 kg.

Total weight = 52.75 x 60 = 3165 kg

Mean of 25 out of them = 51 kg.

∴Their total weight = 51 x 25 = 1275 kg

∴ Total weight of remaining 60 – 25 = 35 students = 3165 – 1275 = 1890 kg 1890

Mean weight = \(\frac { 1890 }{ 35 } \) = 54 kg Ans.

**Question 10.**

**Solution:**

Average increase of 10 oarsman = 1.5 kg.

∴ Total increased weight =1.5 x 10 = 15kg

Weight of out going oarsman = 58 kg .

∴ Weight of new oarsman = 58 + 15 = 73 kg Ans.

**Question 11.**

**Solution:**

Mean of 8 numbers = 35

∴Total of 8 numbers = 35 x 8 = 280

After excluding one number, mean of 7 numbers = 35 – 3 = 32

Total of 7 numbers = 32 x 7 = 224

Hence excluded number = 280 – 224 = 56 Ans.

**Question 12.**

**Solution:**

Mean of 150 items = 60

Total of 150 items = 60 x 150 = 9000

New total = 9000 + 152 + 88 – 52 – 8 = 9000 + 240 – 60 = 9180

∴New mean = \(\frac { 9180 }{ 150 } \) = 61.2 Ans.

**Question 13.**

**Solution:**

Mean of 31 results = 60

∴Total of 31 results = 60 x 31 = 1860

Mean of first 16 results = 58

∴Total of first 16 results = 58 x 16 = 928

and mean of last 16 results = 62

∴Total of last 16 results = 62 x 16 = 992

∴16th result = (928 + 992) – 1860 = 1920 – 1860 = 60 Ans.

**Question 14.**

**Solution:**

Mean of 11 numbers = 42

∴Total of 11 numbers = 42 x 11 = 462

Mean of first 6 numbers = 37

∴Total of first 6 numbers = 37 x 6 = 222

Mean of last 6 numbers = 46

∴Total of last 6 numbers = 46 x 6 = 276

∴6th number = (222 + 276) – 462 = 498 – 462 = 36 Ans.

**Question 15.**

**Solution:**

Mean weight of 25 students = 52 kg

∴ Total weight of 25 students = 52 x 25 = 1300 kg

Mean weight of first 13 students = 48 kg

∴ Total weight of first 13 students = 48 x 13 kg = 624 kg

Mean of last 13 students = 55 kg

∴Total of last 13 students = 55 x 13 kg = 715 kg

∴Weight of 13th student = (624 + 715) – 1300 = 1339 – 1300 = 39 kg Ans.

**Question 16.**

**Solution:**

Mean of 25 observations = 80

Total of 25 observations = 80 x 25 = 2000

Mean of another 55 observations = 60

∴ Total of these 55 observations = 60 x 55 = 3300

Total number of observations = 25 + 55 = 80

and total of 80 numbers = 2000 + 3300 = 5300

Mean of 80 observations = \(\frac { 5300 }{ 80 } \) = 66.25 Ans.

**Question 17.**

**Solution:**

Marks in English = 36

Marks in Hindi = 44

Marks in Mathematics = 75

Marks in Science = x

∴Total number of marks in 4 subjects = 36 + 44 + 75 + x = 155 + x

Average marks in 4 subjects = 50

∴Total marks = 50 x 4 = 200

∴155 + x = 200

=> x = 200 – 155

=> x = 45

Hence, marks in Science = 45 Ans.

**Question 18.**

**Solution:**

Mean of monthly salary of 75 workers = Rs. 5680

Total salary of 75 workers = Rs. 5680 x 75 = Rs. 426000

Mean salary of 25 among them = Rs. 5400

Total of 25 workers = Rs. 5400 x 25 = Rs. 135000

Mean salary of 30 among them = Rs. 5700

∴Total of 30 among them = Rs. 5700 x 30 = Rs. 171000

∴ Total salary of 25 + 30 = 55 workers = Rs. 135000 + 171000 = Rs. 306000

∴Total salary of remaining 75 – 55 = 20 workers = Rs. 426000 – 306000 = Rs. 120000

∴ Mean of remaining 20 workers = Rs. \(\frac { 120000 }{ 20 } \) = Rs. 6000 Ans.

**Question 19.**

**Solution:**

Let distance between two places = 60 km

∴Time taken at the speed of 15 km/h = \(\frac { 60 }{ 15 } \) = 4 hours

and time taken at speed of 10 km/h for coming back = \(\frac { 60 }{ 10 } \) = 6 hours

Total the taken = 4 + 6 = 10

hours and distance covered = 60 + 60 = 120 km

∴Average speed = \(\frac { 120 }{ 10 } \) =12 km/hr.

**Question 20.**

**Solution:**

No. of total students = 50

No. of boys = 40

∴ No. of girls = 50 – 40 = 10

Average weight of class = 44kg

∴Total weight of 50 students = 44 x 50 = 2200 kg

Average weight of 10 girls = 40 kg

∴Total weight = 40 x 10 = 400 kg

Total weight of 40 boys = 2200 – 400 = 1800 kg

∴Average weight of 40 boys = \(\frac { 1800 }{ 40 } \)kg = 45 kg Ans.

Hope given RS Aggarwal Solutions Class 9 Chapter 14 Statistics Ex 14E are helpful to complete your math homework.

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