Everything Maths Grade 10

End of chapter Exercise 10 – 7:

1.The following data set of heights was collected from a class of learners.

f1,70 m;1,41 m;1,60 m;1,32 m;1,80 m;1,40 mg

Categorise the data set.

2.The following data set of sandwich spreads was collected from learners at lunch.

fcheese; peanut butter; jam; cheese; honeyg

Categorise the data set.

3.Calculate themodeof the following data set:

f10; 10; 10; 18; 7; 10; 3; 10; 7; 10; 7g

4.Calculate themedianof the following data set:

f5; 5; 10; 7; 10; 2; 16; 10; 10; 10; 7g

5.In a park, the tallest 7 trees have heights (in metres):

f41; 60; 47; 42; 44; 42; 47g

Find the median of their heights.

6.The learners in Ndeme’s class have the following ages:

f5; 6; 7; 5; 4; 6; 6; 6; 7; 4g

Find the mode of their ages.

7.A group of 7 friends each have some sweets. They work out that themeannumber of sweets they have

is 6. Then 4 friends leave with an unknown number (x) of sweets. The remaining 3 friends work out that

themeannumber of sweets they have left is 10,67.

When the 4 friends left, how many sweets did they take with them?

8.A group of 10 friends each have some sweets. They work out that themeannumber of sweets they have

is 3. Then 5 friends leave with an unknown number (x) of sweets. The remaining 5 friends work out that

themeannumber of sweets they have left is 3.

When the 5 friends left, how many sweets did they take with them?

9.Five data values are represented as follows: 3 x;x+ 2;x−3;x+ 4; 2x− 5 , with a mean of 30. Solve forx.

10.Five data values are represented as follows:p+ 1;p+ 2;p+ 9. Find the mean in terms ofp.

11.A group of 10 learners count the number of marbles they each have. This is a histogram describing the

data they collected:

1

2

3

4

5

6

0-1 2-3 4-5 6-7 8-10

number of marbles

y

Count the number of marbles in the following range: 0number of marbles 1

382 10.6. Chapter summary