a random sample of 10 subjects have weight with a standard deviation of 13.1392 kg. what is the variance of their weight

The variance of their weight σ² = 172.63kg

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 10

Given weight of the standard deviation (σ)  =13.1392

we know that standard deviation (σ)=√ variance

The variance of their weight σ²  =(13.1392)²

                                                σ² = 172.63

The variance of their weight σ² = 172.63kg

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.