In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. what is the 65th percentile?

The 65th percentile is 74

Step-by-step explanation:

The total number of scores sampled is 10. So n = 10

We want to determine the 65th percentile. First step is to rearrange the scores in an increasing order. It becomes

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Next step is to determine the index by multiplying 65% by n. It becomes

65/100×10 = 6.5. Rounding up to the nearest whole number, it becomes 7

The 65th percentile will be the 7th term from the left. It becomes

74

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