Consider the data set: 26, 29, 24, 17, 27, 20, 23, 21, 26, 27.

(a) Find the median and the upper and lower quartiles for this data set.

(b) Setup then evaluate the numerical expression for the mean of this data set. You must write it out completely.

(c) Setup and then evaluate the numerical expression for the variance of this data set. You must write it out completely.

(d) Find the standard deviation of this data set.

a) Median = 24, Lower quartile = 21, upper quartile = 27

b) Mean = 23.67

c) Variance = 12.8889

d) Standard deviation = 3.59

Step-by-step explanation:

Find the solution in the attachment below:

for the points

step-by-step explanation:

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.