Q1. A sample of n = 8 scores has a mean of M = 7. One score in the sample is changed from X = 20 to X = 4. What is the value for the new sample mean?
Q2.
A sample yielded the following scores:
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Assume that the scores are measurements of a discrete variable and find the median.
Median =
Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution. (Use two decimal places.)
Mean =
Q3: A population of N = 7 scores has a mean of µ = 9. After one score is removed from the population, the new mean is found to be µ = 10. What is the value of the score that was removed? (Hint: Compare the values for ∑X before and after the score was removed.)
Please show all work
Q1. The sample mean is calculated as
if one sample is 4 then
Now,
If we replace 4 with 20 then,
Q2. The Sample
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
Hence Median=(5+5)/2=5
and Mean
Q3. If previous mean=9 and N=7 then
New Mean=10 and N=6 hence
Now Difference is 63-60=3
Hemce 3 was the numeral that was removed.
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