Question

Find the mean, median, mode for 41,41,41,42,42,43,43,43,43,45,45,45,46,46,46,46,46,46,46,49,49,50,51,51,53,54,55,55,56,56,57

Answer 1

Mean : 47.48

Median : 46

Mode : 46

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