Find the mean, median, and mode of the data set. Round to the nearest tenth. 5, 7, 2, 6, 7, 10, 12, 7, 9, 13, 5

The mean is 7.5.

The median is 7.

The mode is 7.

Step-by-step explanation:

To find the mean, add up all the numbers in the data set and then divide the sum by the total number of values.

5 + 7 + 2 + 6 + 7 + 10 + 12 + 7 + 9 + 13 + 5 = 83

83 divided 11 equals 7.5.

To find the median, arrange all the numbers in the data set from smallest to largest and then find the number that is in the middle of the set.

To find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode.    

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this