Can you please do subparts 11 12 13 and 14?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Can you please do subparts 11 12 13 and 14?
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Given data represents the time it took participants to complete their task . Time is measured was measured in seconds.
(a) Mean reaction time :
The mean of a data set is the sum of the terms divided by the total number of terms.
Using math notation we have:
In this example , Sum of terms = = 23+34+...+48.75 = 501.4
Total number of terms = 11
Mean = = 501.4/ 11 =45.5818
(b) Standard deviation of reaction time :
Create the following table :
| data | data-mean | (data - mean)2 |
| 23 | -22.5818 | 509.93769124 |
| 34 | -11.5818 | 134.13809124 |
| 34 | -11.5818 | 134.13809124 |
| 65 | 19.4182 | 377.06649124 |
| 36 | -9.5818 | 91.81089124 |
| 48 | 2.4182 | 5.84769124 |
| 88 | 42.4182 | 1799.30369124 |
| 83 | 37.4182 | 1400.12169124 |
| 21.65 | -23.9318 | 572.73105124 |
| 20 | -25.5818 | 654.42849124 |
| 48.75 | 3.1682 | 10.03749124 |
Find the sum of numbers in the last column to get.
Variance :
Standard deviation :
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