Statistics(Senior Class Maths Study by Topics Test) : GATE Academy

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1. The mean weights of three groups of students are 40kg, 45kg and 50kg respectively. If the number of students in the groups are 45, 30 and 25 respectively,
the mean weight of all the students is

45 kg

46 kg

43 kg

44 kg

2. No. of goals 0 1 2 3 4 5
Frequency 5 6 12 10 2 1

The total number of goals scored by all the teams is

3. The scores of students in a class test are given in the table below:

Marks 1 2 3 4 5 6 7 8 9 10
Frequency 0 3 1 2 3 4 2 1 1 0

The median score is

4.5

5.5

4. The following data gives the heights to the nearest metre of 55 trees

Using a working mean of 18 or otherwise, calculate the standard deviation

7.1 m

8.3 m

11.2 m

10.3 m

5. The heights of eight children are:
1 m, 1.2 m, 0.9 m, 0.8 m, 1.4 m, 0.8 m, 1.2 m and 1.1 m.
The sum of the mean and the range is

1.11 m

2.45 m

1.85 m

1.65 m

6. The marks scored by students in a test are recorded in the table below

Calculate semi interquartile range

7. The marks scored by students in a test are recorded in the table below

Calculate the mean

4.78

4.34

5.67

2.32

8. The table below shows the frequency distribution of a number of pets in 25 houses

Find the mode of the distribution

9. The table below shows the frequency distribution of marks scored by students in a class test:

Score 1 2 3 4 5
Frequency x+2 x-1 2x-3 x+4 3x-4

If the average score is 43/14, how many students scored 3 points?

10. The table below shows the marks obtained by 8 students taking English and Physics

The standard deviation for Physics is

19.8

11. The average marks scored by 10 girls and 15 boys in a Physics test were 60 and 55, respectively, the average mark for the 25 students is

12. Find the variance and the standard deviation, respectively of the data below
-3, -5, -7, 2, 5, 0, 4, 6

12.3, 17

4.52, 20.2

12.6, 19

20.4, 4.52

13. The following marks were obtained by candidates in an examination

What percentage of the candidates scored above 70 marks?

15.2%

8.4%

4.5%

11.4%

14. The numbers 2, 5, 7, 8, 10, 15 and 13 are represented on a pie chart .
The sum of the angles representing all numbers equal to or greater than 8 is

228 degrees

276 degrees

84 degrees

48 degrees

15. he frequency table of the monthly salaries of 20 people is shown below.

salary(in $)	frequency
3500	5
4000	8
4200	5
4300	2

Calculate the mean of the salaries of the 20 people.

$1955

$2055

$955

$3955

16. The table below shows the weight distribution of a group of potatoes.

Weight(g) 1-5 6-10 11-15 16-20 21-25
No. of potatoes 3 7 5 3 2

The mean of the distribution is

11.5 g

10.5 g

11 g

10 g

17. he frequency table of the monthly salaries of 20 people is shown below.

salary(in $)	frequency
3500	5
4000	8
4200	5
4300	2

Calculate the standard deviation of the salaries of the 20 people.

254

143

350

282

18. The marks scored by students in a test are recorded in the table below

Calculate the standard deviation

2.13

1.34

2.34

1.84

19. In a class of 20 students the scores in a Mathematics test out of 10 marks are as follows:
5, 3, 6, 7, 8, 4, 5, 4, 9, 3, 4, 6, 4, 5, 7, 4, 5, 6, 7, 2

The range of the distribution is

20. For the set of numbers
4, 6, 2, 10, 8,
the difference between the range and the variance is

-1

21. Find the mean and mean deviation, respectively of the following
5, -3, 6, -2, 4, -8, 4, 7, -10, 10

4.3, 2.64

3.3, 3.64

2.3, 4.64

1.3, 5.64

22. The diagram shows the distribution of the number of candidates offering Biology(B), Goegraphy(G), Economics(E), French(F) and History(H) in a school certificate class of 60 students. The number of candidates offering Economics is

23. In a certain country last year a total of 500 million tons of trash was recycled. The chart below shows the distribution, in millions of tons, for the different types of trashes.

How many tons of Iron/Steel was recycled?

12%

15%

13%

14%

24. Number 1 2 3 4 5
Frequency 1 3 2 3 1

The variance of the frequency distribution in the table above is

1.5

1.4

1.2

25. The scores of a group of five students are
4, 5, 6, 7, 8.
The mean deviation is

1.0

1.2

2.0

1.5

26 out of 25