Question

For her test grades, Gena has a mean = 65 and standard deviation = 25. Patti has a mean = 65 and standard deviation = 5. a. For which of the students can you more accurately predict the next test score, and why? Consider the variability of scores.

Answer 1

Solution:

Given: For her test grades,

Gena has a mean = 65 and standard deviation = 25.

Patti has a mean = 65 and standard deviation = 5

Part a) For which of the students can you more accurately predict the next test score, and why?

Standard deviation gives amount variation in data about the mean value of the distribution.

If variation is larger then we can not predict score accurately. Since if spread is more , then scores of the data have more spread around the mean value.

Whereas if variation is less then spread of scores is close to mean value and hence we can predict score more accurately.

Both students Gena and Patti have same mean of grades but Gena has larger variability than that of Patti.

Since Patti has lesser standard deviaton than that of Gena, test score of Patti can be predicted more accurately.