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Mathematical Treasure-hunt: Mathematical Treasure-hunt:

Mathematical Treasure-hunt: - PowerPoint Presentation

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Mathematical Treasure-hunt: - PPT Presentation

Normal Distribution Cut out each of the question slides and place them around the room Print out and distribute the answer sheet one per pupil or team and set them off to find the answers The correct sequence is ID: 345110

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Slide1

Mathematical Treasure-hunt: Normal Distribution

Cut out each of the question slides and place them around the

room.

Print out and distribute the answer sheet, one per pupil, or team, and set them off to find the answers.

The correct sequence is

:

44, 2512,12.89, 400, 60.36, 2500, 178, 0.0418, 30.7, 0.8, 2475, 1141

Slide2

Mathematical Treasure-hunt:

2512

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

44

Previous Answer

?

To the next clue

The

length of a component may be modelled by a Normal distribution with standard deviation 3 cm. 15% of the components are longer than 16 cm. Calculate the mean

length.

The lifetime of an electrical component may be modelled by a Normal distribution with mean 2500 hours and variance 900 hour

2

. How long would you expect

35

% of the components to last? Slide3

Mathematical Treasure-hunt:

400

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

12.89

Previous Answer

?

To the next clue

The weight of the contents of a jar may be modelled by a Normal distribution. 18% weigh more than 428g and 30% weigh more than 416g. Find the

mean.

Assume that the lifetime of a certain type of light bulb may be modelled by a Normal distribution. It is found that 7% of the bulbs last for more than 1230 hours and 12% for less than 1070 hours. What

is

the

standard

deviation of the lifetime of these bulbs? Slide4

Mathematical Treasure-hunt:

Sequences

2500

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

Sequences

60.36

Previous Answer

?

To the next clue

The lifetime of an electrical component may be modelled by a Normal distribution with mean 2500 hours and variance 900 hour

2

. How long would you expect

50

% of the components to last?

The quartiles of a Normal distribution are known to be 35 and 53. Find the

variance

of the distribution. Slide5

Mathematical Treasure-hunt:

Sequences

0.0418

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

Sequences

178

Previous Answer

?

To the next clue

The weight of the contents of a jar may be modelled by a Normal distribution. 18% weigh more than 428g and 30% weigh more than 416g. Find the

standard

deviation of the weight.

Packets

of currants are nominally 500g in weight. The actual weights may be modelled by a Normal distribution with mean 508.3g and standard deviation 4.8g. What is the probability that a packet is underweight? Slide6

Mathematical Treasure-hunt:

Sequences

0.8

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

Sequences

30.7

Previous Answer

?

To the next clue

The lifetime of an electrical component may be modelled by a Normal distribution with mean 2500 hours and variance 900 hour

2

. How long would you expect

80

% of the components to last?

A factory produces a very large number of rods. The lengths of these rods may be modelled by a Normal distribution, with 30% of them measuring 30.6 cm or more and 15% of them measuring 29.2 cm or less.

Estimate

the proportion of rods which measure 29.9 cm or more. Slide7

Mathematical Treasure-hunt:

1141

Previous Answer

?

To the next clue

Mathematical Treasure-hunt:

2475

Previous

Answer

?

To the next clue

Assume that the lifetime of a certain type of light bulb may be modelled by a Normal distribution. It is found that 7% of the bulbs last for more than 1230 hours and 12% for less than 1070 hours. What

is

the mean

of

the lifetime of these bulbs?

The quartiles of a Normal distribution are known to be 35 and 53. Find the mean

of

the distribution. Slide8

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