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Worksheets

Mean &...

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.

The mean of four numbers is 10.

Three of the numbers are 9, 11 and 7.

Work out the fourth number.

a)

9

b)

13

c)

11

d)

15

2.

Mr Holland gives his class a test. The results are:


34%, 44%, 75%, 21%, 98%, 86%, 71%, 76%, 63%, 55%


How many students scored above the mean percentage?

a)

4

b)

5

c)

6

d)

7

3.

Find the mean of first 5 prime numbers.

a)

5.6

b)

6

c)

6.5

d)

7

4.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

5.

The mean of 8, 11, 6, 14, x and 13 is 66. Find the value of the observation x.

a)

344

b)

343

c)

434

d)

443

6.

The method to calculate mean using this formula is called..

a)

Direct method

b)

Assumed mean method

c)

Step-deviation method

d)

Alternate method

7.

Five basketball players try to make as many points as possible in each game. They have a mean of 12 points per game. If the first four players score 10, 14, 20, and 8 points each, how many points must the fifth player have made?

a)

20 points

b)

8 points

c)

12 points

d)

10 points

8.
The 4th term from the end of the AP: –11, –8, –5, ..., 49 is 
a)
 37 
b)
40
c)
43
d)
58
9.
If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is
a)
0
b)
5
c)
6
d)
15
10.
The sum of first 100 natural number is
a)
5005
b)
5500
c)
5050
d)
1010
11.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

12.

What is the mid point for the class interval 42-47

a)

44

b)

2.5

c)

41.5

d)

44.5

13.
In the diagram, AC is tangent to circle B, find the length of CB.
a)
6
b)
7
c)
8
d)
9
14.

For the following class interval, determine the class size.


42-47

48-53

54-59

60-65

a)

5

b)

6

c)

4

d)

3

15.

If the value of mean for the data given 35,21,15,x,13,18,y and 20 is 40 , Find the value of x+y.

a)

198

b)

195

c)

196

d)

199

16.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
17.

What is the formula to calculated the mean for grouped data?

a)

Mean = Sum of frequency

Total midpoint

b)

Mean = Sum of ( midpoint × frequency )

Total frequency

c)

Mean = Sum of midpoint

Total frequency

d)

Mean = Sum of frequency

Total frequency

18.
a)
20
b)
30
c)
40
d)
60
19.
Find x.
a)
4.4
b)
8.3
c)
9.4
d)
8.8
20.
a)
21
b)
10
c)
16
d)
76
21.



(a)  

22.

The mean of the following frequency distribution is 50, but the frequencies f 1 and f 2 in classes 20-40 and 60-80, respectively are not known. Find these frequencies, if the sum of all the frequencies is 120.

a)

f1=14.f2=18

b)

f1=16,f2=22

c)

f1=28,f2=24

d)

f1=22,f2=28

23.

The mean of six numbers is 15. If 2 is taken away from every number, then find the new mean.

(a)  

24.



(a)  

25.

The arithmetic mean of 5 numbers is 27. If one of the numbers be excluded, their mean is 25. The excluded number is :

(a)