these marks were obtained by class of 28 students in a science test. the maximum mark possible is 25.
20,17,21,15,16,15,12,14,15,19,21,17,20,22,16,19,21,13,22,15,14,18,20,13,18,16,15,19.
a.calculate the mode
b.what would you give as the pass mark? explain your answer
What is the last number? I think the last digit got cut off. The mode is the number that occurs most often. Just by looking at the data, I would guess the mode is 15 because it looks like there is more 15's than any other number. Check that.
To calculate the mode of a set of data, you need to find the value(s) that occur most frequently.
Let's calculate the mode for the given set of marks:
20, 17, 21, 15, 16, 15, 12, 14, 15, 19, 21, 17, 20, 22, 16, 19, 21, 13, 22, 15, 14, 18, 20, 13, 18, 16, 15, 19.
The mode in this case is the mark that appears most frequently. To find it, we can create a frequency table:
Marks | Frequency
-----------------
12 | 1
13 | 2
14 | 2
15 | 4
16 | 3
17 | 2
18 | 2
19 | 3
20 | 3
21 | 3
22 | 2
From the frequency table, we can see that the mark "15" appears most frequently, with a frequency of 4. Therefore, the mode for this set of marks is 15.
Now, to determine the pass mark, you need to establish a criteria or threshold for passing. Generally, this is expressed as a percentage of the maximum mark. In this case, the maximum mark possible is 25.
For example, if the pass mark is set at 80%, you would multiply the maximum mark (25) by 0.8 to determine the pass mark:
Pass mark = 25 * 0.8 = 20.
This means that any student who has scored 20 or above would pass the test.
However, if you have specific instructions or a different pass mark criteria, please provide further details, and I will be able to give a more tailored answer.