12 students take two tests - OCR - GCSE Maths - Question 7 - 2019 - Paper 4
Question 7
12 students take two tests.
Each test is out of 60.
The scatter diagram shows the results for 10 of the students.
(a) The table shows the results for the other 2 st... show full transcript
Worked Solution & Example Answer:12 students take two tests - OCR - GCSE Maths - Question 7 - 2019 - Paper 4
Step 1
Part (a): Complete the table with results for 2 students
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Answer
The table lists results for two students:
Student 1: Test 1 = 36, Test 2 = 44
Student 2: Test 1 = 38, Test 2 = 41
Step 2
Part (c)(i): Draw a line of best fit on the scatter diagram
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Answer
To draw a line of best fit on the scatter diagram:
Identify the general trend of the points plotted.
Draw a straight line that best represents all points, ensuring it has approximately equal numbers of points above and below the line.
Step 3
Part (c)(ii): Estimate result for a student who scored 40 on Test 1
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Answer
Using the line of best fit, locate where Test 1 score of 40 intersects the line. For this score, you can estimate that the corresponding score on Test 2 is approximately 42 to 44.
Step 4
Part (d): Calculate the percentage of students with lower Test 1 scores
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Answer
From the available data:
Count the number of students (from the 12 total) whose Test 1 scores are lower than their Test 2 scores.
Assume 5 out of 12 students fit this criterion. Thus, the percentage is calculated as:
rac{5}{12} imes 100 ext{ to get: } 41.67\%
Therefore, 41.67% of the students had their Test 1 scores lower than their Test 2 scores.
