Your progress
Ticks are kept only in this browser: clearing your browsing data or changing device loses them. · ·

Intermediate June 2024 Unit 1 Q5

WJECIntermediateCurrent spec4 marksBasic ProbabilityGrouped Data

5. In a game, each competitor will have 20 attempts at throwing a ball into a bucket.
They will get 1 point for every ball that lands in the bucket.

Sioned wants to keep a record of the total points for each competitor.
She decides to show the results in a table with the total points recorded in groups of equal width.

(a) She starts to draw a table using five groups, as shown below.
Total points0 to 34 to 78 to 11… to …… to …
Number of
competitors
Explain why these groups will not be suitable. [1]
(b) Sioned considers using the table shown below.
She decides that it is suitable for recording all the total points in groups of equal width.
Fill in the two missing numbers in the top row. [1]
Total points0 to 67 to …………………… to 20
Number of
competitors
(c) Finally, Sioned decides to use the groups shown in the table below.
The results for the first 100 competitors are shown in the table.
Total points0 to 23 to 56 to 89 to 1112 to 1415 to 1718 to 20
Number of
competitors		5101722231211

One of these 100 competitors is chosen at random.

(i) What is the probability that this competitor scored 6, 7 or 8 points? [1]
(ii) Explain why the following statement may be incorrect. [1]

The probability that this competitor scored 19 points is \(\dfrac{11}{100}\).

‹ Previous265 of 519 in Basic ProbabilityNext ›