A six-sided numbered spinner is thrown 50 times - OCR - GCSE Maths - Question 6 - 2023 - Paper 4
Question 6
A six-sided numbered spinner is thrown 50 times.
The score for each throw is recorded.
Some of the results are shown in the table.
An 8 was thrown f times.
An unkno... show full transcript
Worked Solution & Example Answer:A six-sided numbered spinner is thrown 50 times - OCR - GCSE Maths - Question 6 - 2023 - Paper 4
Step 1
Determine the total frequency of known scores
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
First, we need to calculate the total frequency of the known scores. From the table:
For score 1: 12
For score 3: 2
For score 5: 9
Therefore, the total frequency of the known scores is:
12+2+9=23
Step 2
Calculate the frequency of the unknown scores
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The total number of throws is 50.
Given the total frequency of known scores is 23, we can find the frequency of the unknown scores (8 and n):
Let the frequency of 8 be f. The equation representing the total throws is:
23+f+n=50
Thus, we can express the relationship as:
f+n=27
Step 3
Express the unknown number on the spinner
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Through the table, we deduce that one of the unknown numbers is represented by n, implying that the unknown score could be any number between 1 and 8, excluding the known values. We need additional information to specify the value of n.
