## Exam-Style Question on Statistics## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 4. This question is similar to one that appeared on an IB Standard paper in 2010. The use of a calculator is allowed.

The personal trainer collected data from a randomly selected sample of days. From this he found that the number glasses of water he drank in a day had a mean of 4.35.

Glasses | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|

Frequency | 2 | 4 | 6 | 9 | \(x\) | 9 | 4 |

(a) Find the number of days represented by \(x\)

(b) Write down the standard deviation.

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