4. Given a data set: 2, 8. 2,0.3,9. Find its mean (E) none of the above (A) 4 (B

Question

4. Given a data set: 2, 8. 2,0.3,9. Find its mean (E) none of the above (A) 4 (B) 2 (C) 6 (D) 3 5. Given a sample date, we know its variance is 4 and sample mean is 2. Find the z-score for the data value 3 (E) none of the above (A) 0.5 (B) 1 (C) 2 (D) 0 6. Given a date set, the skewness is 1.34, compare its mean and median, which one is larger (C) no enough info to reach (D) they are equE) one of the result (A) mean (B) mediain above 7. Given two data sets, we know the covariance is 1.5 and the two data variances are 4 and 1 respectively. Compute its correlation coefficient (E) none of the above (A) 0.5 (B) 0.75 (C) 1 (D) 0.375 8. Given a data set: 1,0,2,3,1,0,0,2,1,02. Find its mode (or modes) and determine it is an unimodal or bimodal (A) 3, unimodal (B) 2, unimoda (C) 0, unimda( (D) 0,1, imodal E) none of the above 9. Given a sample set: 2,1,3,4,10,12,5,. we know its sample mean and variance are 4.5 and 4 respectively. For the data value 7.5, what is its z score. (E) none of the above (A) 0.5 (B) 2.5 (C) 1 10 Continue from last question, at least what percent of the data set will be within standard deviation of the mean (C) 44.4 (E) none of the above (A) 55.6 (B) 33.3 (D) 34.8 11. The interquartile range is (C) the range forD) the differ- (A) the 50th per (B) another name centile (E) none of the between the middle 25% of the data values ence, the largest and above for the variance smallest values

Explanation / Answer

4) The data values are 2,8,2,0,3,9

We get the sum of above values = 24

Number of data values = 6

So mean = 24/6 = 4

Hence A. 4 is correct answer.

5) sample mean X bar= 2 , sample variance = 4

Hence sample standard deviation s = 2

So Z score for X= 3 is

( X - X bar )/s = ( 3 - 2 ) / 2 = 0.5

Hence z score = 0.5

So A. 0.5 is the correct answer.

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