Measures of centre and spread - Oxford Maths 7, Unit 10A

Categorise the following numerical data as being discrete or continuous.

Groups:

(a) Discrete

,

(b) Continuous

• Weight

• Number of spots on a leopard

• Number of runs scored in a game of cricket

• Hand span

• Population

• Time spent on the internet per week

A zoologist collected the following data on the number of young in the litters of several fat-tailed dunnarts (small mouse-like marsupials).

7, 8, 6, 7, 6, 7, 9, 8, 15, 7, 8

Find the mean.

Mathematical Equivalence

ON

Tags

CCSS.6.SP.B.5C

Information was collected on the number of online games students play in a normal week. The results are below.

0, 4, 2, 1, 1, 3, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0

Find the mode.

Mathematical Equivalence

ON

Find the range of the following data set:

4, 8, 2, 5, 3, 7, 5, 7, 7, 7, 1, 2, 6

Mathematical Equivalence

ON

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What will be the position of the median in an ordered set of data containing 7 data points?

Mathematical Equivalence

ON

Tags

CCSS.6.SP.B.5C

Match each summary statistic to the correct data set.

• 3, 17, 8, 6, 14, 8, 7

• Median = 7

• 15, 8, 4, 7, 3, 10, 1

• Mean = 9

• 1, 7, 4, 5, 9, 4, 2, 3, 3, 4, 10

• Range = 8

• 11, 4, 6, 8, 3

• Mode = 4

Tags

CCSS.6.SP.A.3

A bag of 8 tangerines weighs 720 g. What is the mean weight of the tangerines in the bag?

Mathematical Equivalence

OFF

Tags

CCSS.6.SP.B.5C

A tangerine weighing 120 g is added to the bag. State whether the mean increases, decreases, or stays the same.

• Increases

• Decreases

• Stays the same

Dorothy measured the heights of all her classmates and calculated the mean, median, mode and range of the

heights. To write up her report, she needs to interpret the statistics by writing them in a sentence that describes

what the statistics mean. Match each sentence with the measure of centre and spread they describe.

• The most common height was 150 cm.

• Mode

• The numerical average height of my class

• Median

• Half of the class had heights greater th

• Range

• The heights of my classmates were spread

• Mean

Tags

CCSS.6.SP.B.5B

At the end of the year, Yolanda received her exam scores for each of her subjects: 40%, 41%, 43%, 44%, 42%, 95%.

To one decimal place, calculate the mean score Yolanda received.

Mathematical Equivalence

ON

Tags

CCSS.6.SP.B.5C