Answer:
Mode = 48, 50
Mean = 48.83
Step-by-step 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:
[tex]=\dfrac{\sum w_ix_i}{\sum w_i}[/tex]
Putting values, we get,
[tex]\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} = \dfrac{1416}{29}=48.83[/tex]
