The monthly mean salaries and standard deviations of four college students are given below. Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
Standard Deviation
12.53
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

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.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere