08. Mean, Median, Mode and Range - Cardiff Tutor Company

Question 1

Peter records the weights of potatoes in the 2017 winter crop.

$300g, 221g, 244g, 288g, 287g, 283g, 231g$

Find the mean weight of potatoes.

Give your answer to 1 decimal place.

Select the correct answer from the list below:

A: $253.6g$

B: $282.4g$

C: $264.9g$

D: $278.1g$

CORRECT ANSWER: B: $264.9g$

WORKED SOLUTION:

$300g+ 221g+ 244g+ 288g+287g+ 283g+ 231g=1854g$ $1854g\div7=264.9g$

Level 4

Question 2

Peter records the weights of potatoes in the 2017 winter crop.

$300g, 221g, 244g, 288g, 287g, 283g, 231g$

Find the range weight of potatoes.

Select the correct answer from the list below:

A: $47$

B: $68$

C: $56$

D: $79$

CORRECT ANSWER: D: $79$

WORKED SOLUTION:

$300g - 221g = 79g$

Level 4

Question 3

Peter records the weights of potatoes in the 2017 winter crop.

$300g, 221g, 244g, 288g, 287g, 283g, 231g$

Find the median weight of potatoes.

Select the correct answer from the list below:

A: $281g$

B: $285g$

C: $283g$

D: $287g$

CORRECT ANSWER: C: $283g$

WORKED SOLUTION:

$221g, 231g, 244g, 283g, 287g, 288g, 300g$

Level 4

Question 4

The number of sweets in a popular sweet packets are shown below:

Find the mean number of sweets in a packet.

Select the correct answer from the list below:

A: $6.55$

B: $5.72$

C: $7.34$

D: $7.85$

CORRECT ANSWER: A: $6.55$

WORKED SOLUTION:

$(5\times4)+(6\times5)+(7\times8)+(8\times2)+(9\times1)=131$ sweets

$4+5+8+2+1= 20$ bags

$131\div20 =6.55$ sweets per packet

Level 4

Question 5

The number of sweets in a popular sweet packets are shown below:

Find the range of the number of sweets in a packet.

Select the correct answer from the list below:

A: $4$ sweets

B: $3$ sweets

C: $2$ sweets

D: $5$ sweets

CORRECT ANSWER: A: $4$ sweets

WORKED SOLUTION:

$9-5 =4$ sweets

Level 4