4MA0 Higher January 2014 Paper 3 Q8

EdexcelHigherOld spec9 marksCumulative FrequencyGrouped Data

8 A box contains 80 tea bags.
The table shows information about the weight of each tea bag.

Weight (\(w\) grams)Number of tea bags
\(2.8 \lt w \leqslant 2.9\)2
\(2.9 \lt w \leqslant 3.0\)4
\(3.0 \lt w \leqslant 3.1\)22
\(3.1 \lt w \leqslant 3.2\)32
\(3.2 \lt w \leqslant 3.3\)14
\(3.3 \lt w \leqslant 3.4\)6
(a) Work out the percentage of the 80 tea bags that weigh more than 3.1 grams. (2)
(b) Work out an estimate for the total weight of the 80 tea bags.
Use halfway values of 2.85 grams, 2.95 grams, ... (3)

Here is a cumulative frequency graph for the weights of the 80 tea bags.

Cumulative frequency graph of weight w grams from 2.8 to 3.4, cumulative frequency from 0 to 80
(c) Use the graph to find an estimate for the number of tea bags which weighed more than 3.25 grams. (2)
(d) Use the graph to find an estimate for the interquartile range of the weights of the tea bags. (2)
‹ Previous45 of 65 in Cumulative FrequencyNext ›