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Step-by-step explanation:

a. Range of group 1 = 65 - 31 = 34 and range of group 2 = 64 - 32 = 32

b. Group 1 had 5 numbers in the 40s and group 2 had 4 so since 5 > 4 the answer is Group 1.

c. The median of Group 1 will be the 9th term which is 46 and the median of Group 2 will be the average of the 8th and 9th terms which is (50 + 52) / 2 = 51 so since 51 > 46 the answer is Group 2.

Step-by-step explanation:

(a)

range = largest no. - smallest no.

group 1: 65 - 31 = 34

group 2: 64 - 32 = 32

(b)

group 1: 42, 42, 46, 46, 46

group 2: 43, 44, 44, 46

group 1 has more typing speeds.

(c)

median is the middle number.

group 1: 31, 33, 35, 37, 42, 42, 46, 46, 46, 50, 53, 54, 56, 56, 57, 57, 65

group 2: 32, 35, 38, 43, 44, 44, 46, 50, 52, 53, 53,  55, 56, 56, 60, 64

(50+52)/2 = 51

46 < 51 group 2 has a larger median value.

need more information

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.