1. Calculate the mean, mode, median and range of :
(a) 1, 6, 9, 5, 11, 8, 5, 13, 5.
Mean=7
Median=6
Mode=5
Range=12
(b) 23, 11, 17, 12, 14, 29, 30, 11, 29, 19.
Mean=19.5
Median=18
Mode=11 and 29
Range=19
(c.) 8, 3, 6, 5, 2, 10, 1, 7, 4, 9.
Mean=5.6
Median=5.5
Mode=
Range=9
(d) 103, 134, 109, 112, 121, 148, 134.
Mean=123
Median=121
Mode=134
Range=45
(e) 9, 1, 7, 3, 5, 4, 3, 5, 4, 8, 2, 9.
Mean=5
Median=4.5
Mode=4,3,5 and 9
Range=8
2.)
This list shows the amounts spent by seven families on their holidays : £100, £400, £320, £300, £5430, £100, £350.
(a) Calculate the mean, mode, median and range of these amounts.
Mean=£1000
Median=£320
Mode=£100
Range=£5330
(b) Suggest which of the three averages is the most useful indicator of how much a typical family spends on their holiday.
I would think that the mean would the best indicator be Mean as uses all the money spent and divides between them.
3. A sports shop is offering a discount on a particular type of running shoe. The manager wants to look at the number of each size sold so far in order to predict how many will be sold in the next week. This should hopefully mean that all sizes are available in the shop. Here’s the list of all sizes sold:
7, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11,
(a) Calculate the mean, mode, and median of the data.
Mean=9
Median=9
Mode =8
Range=4
(b) Which of the three averages is most useful to the manager?
mode as he can see what shoesize is most common and be able to account for it.
4.)
Mean=4
Range=4
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