Univariate Data

A pair of dice are rolled $50$50 times and the numbers appearing on the uppermost face are added to give a score.

a

What is the lowest possible score when a single pair of dice are rolled?

b

What is the highest possible score when a single pair of dice are rolled?

c

The frequency of each score is given in the table. Complete the cumulative frequency values.

Score ($x$x) |
Frequency ($f$f) |
Cumulative Frequency ($cf$cf) |
---|---|---|

$2$2 | $1$1 | $\editable{}$ |

$3$3 | $2$2 | $\editable{}$ |

$4$4 | $5$5 | $\editable{}$ |

$5$5 | $5$5 | $\editable{}$ |

$6$6 | $5$5 | $\editable{}$ |

$7$7 | $9$9 | $\editable{}$ |

$8$8 | $7$7 | $\editable{}$ |

$9$9 | $5$5 | $\editable{}$ |

$10$10 | $8$8 | $\editable{}$ |

$11$11 | $1$1 | $\editable{}$ |

$12$12 | $2$2 | $\editable{}$ |

d

How many times did a score of $8$8 appear?

e

How many times did a score more than $9$9 appear?

f

How many times did a score of at most $6$6 appear?

Easy

Approx 4 minutes

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Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

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