Question

5 people did 48 sit ups 3 did 49 sit up 5 did 50 situps 2 did 45 sit ups,, 3 did 46 sit ups, 4 did 47 sit ups, 4 did 51 situps, 3 did 53 situps what is the mode, what is the mean

Answer 1

Mode = 48, 50

Mean = 48.83

Explanation:

We are given the following in the question:

5 people did 48 sit ups each

3 people did 49 sit ups each

5 people did 50 sit ups each

2 people did 45 sit ups each

3 people did 46 sit ups each

4 people did 47 sit ups each

4 people did 51 sit ups each

3 people did 53 sit ups each

a) Mode of data

Mode is the most frequent data point.

The given data is bi-modal with 48 and 50 as mode( repeating five times)

b) Mean of data

Formula for mean of data:

`=(\sum w_ix_i)/(\sum w_i)`

Putting values, we get,

`\displaystyle\sum w_ix_i = 5(48) + 3(49) + 5(50) + 2(45) + 3(46) + 4(47) + 4(51) + 3(53)\\\\\displaystyle\sum w_ix_i = 1416\\\\\sum w_i = 5+3+5+2+3+4+4+3 = 29\\\\\text{Mean} = (1416)/(29)=48.83`