1. Given a data set: 2,8,2,0,3,9. Find its median (E) none of the (A) 3 (B) 2 (C
ID: 3072007 • Letter: 1
Question
1. Given a data set: 2,8,2,0,3,9. Find its median (E) none of the (A) 3 (B) 2 (C) 2.5 ove 2. Given a data set: 2,3,2,0,3,7,2,2. Find the relave frequency for the date value 2. (A) 0.4 (E) none of the above (B) 0.5 (C) 0.2 (D) 0.6 3. Given a data set: 2,3,2,0,3,7,2,2. Find the frequency for the date value 3. (E) none of the above (A) 4 (B) 2 (D) 3 4. Given a data set: 2,8, 2,0, 3,9. Find its mean. (A) 4 (E) none of the above (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 equaE) none of the result (A) mean (B) median 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: 1,0,2,3,1,0,0,2,1,0,2. Find its mode (or modes) and determine it is an unimodal or bimodal. (E) none of the (A) 3, unimodal(B) 2, unimodal (C) 0, unimoda (D) 0,1, bimodal 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 (A) the 50th per- centile (B) another name for the variance (C) the range or enceen(E) none of the the middle 25% of (D) the differ- the largest and above the data values smallest values
Explanation / Answer
1.
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
0 2 2 3 8 9
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
Median = (2+3)/2=2.5
Answer: Option (C)
2.
Relative frequency for value 2 is 4 / 8 = 0.5
Answer: Option (B)
3. frequency for value 3 is 2
Answer: Option (B)
4. Mean = Sum of terms / Number of terms
= 24 / 6
= 4
Answer: Option (A)
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