Answer:
Mean : 47.48
Median : 46
Mode : 46
Step-by-step explanation:
1) Mean= Total sum / Total Entries
Sum = 41*3 +42*2+43*4+45*3+46*7+49*2+50*1+51*2+53*1+54*1+55*2+56*2+57*1
Sum = 123+84+172+135+322+98+50+102+53+54+110+112+57
sum = 1472
Total Entries = 3+2+4+3+7+2+1+2+1+1+2+2+1= 31
Mean = 1472/31
= 47.48
ii) Median = 16th Value
As there are total 31 entries , Hence the Median will be the entry coming on 16th place
Median = 46
iii) Mode
The entry which is repeated for the maximum number of times is called the mode. Here 46 is repeated the most. hence 46 is the mode