Foundation November 2021 Paper 2 Q17
17 60 people are asked if they prefer to text or to email their friends.
38 of the people are women and the rest are men.
15 of the men prefer to email their friends.
60% of the people prefer to text their friends.
Complete the frequency tree for this information. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| Men 22: text 7, email 15 Women 38: text 29, email 9 | C1 | for correctly placing one of the given values in the diagram eg 38 women or 15 men email |
| M1 | for \(60 - 38\ (= 22)\) or 22 (men) correctly placed in the diagram or \(60 - 38 - 15\ (= 7)\) or 7 (men texting) correctly placed in the diagram | |
| M1 | for a method to find 60% of 60, eg \(60 \times 0.6\ (= 36)\) | |
| M1 | for calculating with 60% of 60 eg \(\text{``}36\text{''} - (\text{``}22\text{''} - 15)\ (= 29)\) or \(\text{``}36\text{''} - \text{``}7\text{''}\ (= 29)\) or \((60 - \text{``}36\text{''}) - 15\ (= 9)\) | |
| A1 | for a fully correct frequency diagram |
Additional guidance
May be implied by the total number of texts in the frequency diagram being 36
9 or 29 on the diagram (women branch) gets the two M marks for finding and calculating with 60% of 60
If probabilities used instead of frequencies then maximum of C1M1M1M1A0 can be awarded