Consider a data set oontaining the following values: 70 65 71 78 89 68 50 75 The

Question

Consider a data set oontaining the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The deviations from the mean have been calculated as follows: -0.75 -5.75 0.25 7.25 18.25 2.75 20.75 4.25 If this is sample data, the sample variance is and the sample standard deviation is If this is population data, the population variance is and the population standard deviation is Suppose the smal value of 50 in the data was misrecorded as 5. If you were to recalaulate the variance and standard deviation with the 5 instead of the 50, your new values for the variance and standard deviation would be Flash Player MAC 24/0,0,221 933 34.1 p 2004-2016 Aplia AL reserved 2013 Learning except a noted rights reserved Grade It Now Copyright Notices Terms of Use Privacy Notice Security Notice Accessibility

Explanation / Answer

Given Data:

70, 65, 71, 78, 89, 68, 50, 75

Statistical software output:

Summary statistics:

So,

In case of sample data,

Sample variance = 125.0714, sample standard deviation = 11.1835

In case of population data,

Population variance = 109.4375, Population standard deviation = 10.4612

Now we need to recalculate using 5 instead of 50. For that, statistical software output is:

Summary statistics:

So,

In case of sample data,

Sample variance = 644.9821, sample standard deviation = 25.3965

In case of population data,

Population variance = 564.3594, Population standard deviation = 23.7562

Column Variance Std. dev. Unadj. variance Unadj. std. dev. var9 125.07143 11.183534 109.4375 10.461238

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.