the test scores from a history test are 88, 95, 92, 60, 86, 78, 95, 98, 92, 96, 70, 80, 89, and 96. a. find…

the test scores from a history test are 88, 95, 92, 60, 86, 78, 95, 98, 92, 96, 70, 80, 89, and 96. a. find the mean and standard deviation of the test scores. b. find the five - number summary of the test scores. c. describe the type of distribution. explain. d. do you think the test was an easy test or a hard test for these students? explain. a. the mean is . (round to the nearest hundredth as needed.)
Answer
Explanation:
Step1: Calculate sum of scores
The scores are 88, 95, 92, 60, 86, 78, 95, 98, 92, 96, 70, 80, 89, 96. The sum $S=\sum_{i = 1}^{n}x_{i}=88 + 95+92+60+86+78+95+98+92+96+70+80+89+96=1225$.
Step2: Calculate the mean
The number of scores $n = 14$. The mean $\bar{x}=\frac{S}{n}=\frac{1225}{14}=87.5$.
Answer:
87.50