![]() To work out which measure of central tendency is represented by 9.5 books, let us work out each of the mean, median, and mode and see which one (or more) is 9.5. The middle value of 9 in the set is the 5th value: This is an odd number so the median is the middle value of the ordered data set. We know from when we worked out the mean that there are 9 data values, that is, 9 tomato plants. Tomatoes on a plant, the data can be ordered as follows: ![]() To find the median of the data, we first order the data according to size. We interpret this as follows: the mean number of tomatoes Hence, to the nearest integer (or whole number), the mean of the data is 5. M e a n n u m b e r o f t o m a t o e s p e r p l a n t t o t a l n u m b e r o f t o m a t o e s n u m b e r o f t o m a t o p l a n t s t o 2 d e c i m a l p l a c e s = 4 9 9 = 5. The total number of tomatoes by the number of plants. This gives us 1 + 1 + 1 + 1 + 1 + 2 + 1 + 1 = 9 tomato plants. There is 1 plant with 7 tomatoes, 1 plant with 12 tomatoes,ġ plant with 3 tomatoes, 1 plant with no tomatoes, 2 plants with 4 tomatoes, 1 plant with 6 tomatoes,Īnd 1 plant with 5 tomatoes. The next step is to work out how many tomato plants there are in the garden. The sum of the values is 49, so there is a total of 49 tomatoes in the garden. In this case, that means adding up the numbers of tomatoes on every plant:ħ + 1 2 + 8 + 3 + 0 + 4 + 4 + 6 + 5 = 4 9. To calculate the mean of the data we first add all the data values together.
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