Answer:
1. Mode = 7
2. Range = 8
Step-by-step explanation:
The following set of data were obtained from the question:
4, 6, 5, 9, 3, 2, 7, 7, 1, 8
Mode =?
Range =?
1. Determination of the mode of the data.
Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:
Scores >>>>>>> Frequency
4 >>>>>>>>>>>> 1
6 >>>>>>>>>>>> 1
5 >>>>>>>>>>>> 1
9 >>>>>>>>>>>> 1
3 >>>>>>>>>>>> 1
2 >>>>>>>>>>>> 1
7 >>>>>>>>>>>> 2
1 >>>>>>>>>>>> 1
8 >>>>>>>>>>>> 1
From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .
2. Determination of the range of the data.
Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:
Highest score = 9
Lowest score = 1
Range = Highest – Lowest
Range = 9 – 1
Range = 8