What is the difference between the mean and the median of the data set?
{22, 8, 10,18,12, 20}

Let's sort first,

8, 10, 12, 18, 20, 22

We can quickly add these up as 8+22 + 10+20 + 12+18 = 3(30) = 90

so the mean is 90/6 = 15

The median is the middle one.  We have six so we take the average of the two middle ones,

median = (12+18)/2 = 15

That's the same as the mean.

Difference is zero

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer: 5

step-by-step explanation: