| Date | November 2014 | Marks available | 2 | Reference code | 14N.1.sl.TZ0.3 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Write down | Question number | 3 | Adapted from | N/A |
Question
In a particular week, the number of eggs laid by each hen on a farm was counted. The results are summarized in the following table.
State whether these data are discrete or continuous.
Write down
(i) the number of hens on the farm;
(ii) the modal number of eggs laid.
Calculate
(i) the mean number of eggs laid;
(ii) the standard deviation.
Markscheme
discrete (A1) (C1)
(i) 60 (A1)
(ii) 5 (A1) (C2)
(i) 1×4+2×7+3×12…601×4+2×7+3×12…60 (M1)
Notes: Award (M1) for an attempt to substitute into the “mean of a set of data” formula, with at least three correct terms in the numerator.
Denominator must be 60.
Follow through from part (b)(i), only if work is seen.
=4.03 (4.03333…)=4.03 (4.03333…) (A1)
Notes: Award at most (M1)(A0) for an answer of 4 but only if working seen.
(ii) 1.54 (1.53803…)1.54 (1.53803…) (A1) (C3)
