83 85 82 93 83 84 95 87 86 94 what is the standard deviation of the data set in round to the nearest tenth

Given data points are :-

83, 85, 82, 93, 83, 84, 95, 87, 86, 94.

Step 1: finding Mean of given data points.

Mean = = 87.2

Step 2: finding square of differences of each point from mean value.

(83-87.2)², (85-87.2)², (82-87.2)², (93-87.2)², (83-87.2)², (84-87.2)², (95-87.2)², (87-87.2)², (86-87.2)², (94-87.2)²

⇒ 17.64, 4.84, 27.04, 33.64, 17.64, 10.24, 60.84, 0.04, 1.44, 46.24

Step 3: finding Mean of result from step 2.

Mean = = 21.96

Step 4: finding Square-root of result from step 3.

Variance = 21.96

Standard Deviation =

Hence, Standard Deviation = 4.7 (rounded to nearest tenth).

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

the 3rd option is right

step-by-step explanation: