Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Collecting Data, Exercise 2: Exercise 6.1

Author:Lynn Byrd, Greg Byrd & Chris Pearce

Lynn Byrd Mathematics Solutions for Exercise - Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Collecting Data, Exercise 2: Exercise 6.1

Attempt the practice questions on Chapter 6: Collecting Data, Exercise 2: Exercise 6.1 with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access solutions are prepared by Experienced Embibe Experts.

Questions from Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Collecting Data, Exercise 2: Exercise 6.1 with Hints & Solutions

MEDIUM
Lower Secondary Stage 7
IMPORTANT

A teacher asks learners to estimate the number of sweets in a jar. She makes two predictions:

  • The estimates of the boys will be too big.
  • The estimates of the girls will be too small.

How can she analyse the data?

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Adekunle is investigating the number of emails people receive at work.

He makes the prediction: People get more emails on Mondays than on Fridays.

How can Adekunle collect data to test his predication?

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Adekunle is investigating the number of emails people receive at work.

He makes the prediction: People get more emails on Mondays than on Fridays.

How can Adekunle analyse the results?

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Sofia and Zara throw two dice and add the scores to get the total.

Sofia makes the predication: 7 is the most likely total.
Zara makes the predication: All totals are equally likely.
They throw two dice 100 times. Their results are shown in the table.

10 7 5 2 10 5 10 9 10 4
7 4 3 7 6 8 7 8 11 9
6 4 10 9 8 6 6 11 8 10
7 7 4 4 5 7 7 7 11 9
9 10 9 9 7 3 8 4 5 10
5 10 8 5 5 6 8 9 3 5
9 5 7 6 8 9 10 7 7 6
9 8 8 3 3 2 4 6 10 9
8 10 5 7 7 9 10 7 10 4
4 2 10 5 4 4 8 9 5 7

Explain why this is not a good way to record the results.

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Sofia and Zara throw two dice and add the scores to get the total.

Sofia makes the predication: 7 is the most likely total.
Zara makes the predication: All totals are equally likely.
They throw two dice 100 times. Their results are shown in the table.

10 7 5 2 10 5 10 9 10 4
7 4 3 7 6 8 7 8 11 9
6 4 10 9 8 6 6 11 8 10
7 7 4 4 5 7 7 7 11 9
9 10 9 9 7 3 8 4 5 10
5 10 8 5 5 6 8 9 3 5
9 5 7 6 8 9 10 7 7 6
9 8 8 3 3 2 4 6 10 9
8 10 5 7 7 9 10 7 10 4
4 2 10 5 4 4 8 9 5 7

Show the frequencies for each number in a suitable table.

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Sofia and Zara throw two dice and add the scores to get the total.

Sofia makes the predication: 7 is the most likely total.
Zara makes the predication: All totals are equally likely.
They throw two dice 100 times. Their results are shown in the table.

10 7 5 2 10 5 10 9 10 4
7 4 3 7 6 8 7 8 11 9
6 4 10 9 8 6 6 11 8 10
7 7 4 4 5 7 7 7 11 9
9 10 9 9 7 3 8 4 5 10
5 10 8 5 5 6 8 9 3 5
9 5 7 6 8 9 10 7 7 6
9 8 8 3 3 2 4 6 10 9
8 10 5 7 7 9 10 7 10 4
4 2 10 5 4 4 8 9 5 7

Show the results in a bar chart.

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Sofia and Zara throw two dice and add the scores to get the total.

Sofia makes the predication: 7 is the most likely total.
Zara makes the predication: All totals are equally likely.
They throw two dice 100 times. Their results are shown in the table.

10 7 5 2 10 5 10 9 10 4
7 4 3 7 6 8 7 8 11 9
6 4 10 9 8 6 6 11 8 10
7 7 4 4 5 7 7 7 11 9
9 10 9 9 7 3 8 4 5 10
5 10 8 5 5 6 8 9 3 5
9 5 7 6 8 9 10 7 7 6
9 8 8 3 3 2 4 6 10 9
8 10 5 7 7 9 10 7 10 4
4 2 10 5 4 4 8 9 5 7

Is Sofia's prediction correct? Give a reason for your answer.

MEDIUM
Lower Secondary Stage 7
IMPORTANT

Sofia and Zara throw two dice and add the scores to get the total.

Sofia makes the predication: 7 is the most likely total.
Zara makes the predication: All totals are equally likely.
They throw two dice 100 times. Their results are shown in the table.

10 7 5 2 10 5 10 9 10 4
7 4 3 7 6 8 7 8 11 9
6 4 10 9 8 6 6 11 8 10
7 7 4 4 5 7 7 7 11 9
9 10 9 9 7 3 8 4 5 10
5 10 8 5 5 6 8 9 3 5
9 5 7 6 8 9 10 7 7 6
9 8 8 3 3 2 4 6 10 9
8 10 5 7 7 9 10 7 10 4
4 2 10 5 4 4 8 9 5 7

Is Zara's prediction correct? Give a reason for your answer.