Question

Which measures of central tendency are the most representative of the data set?

23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43
a.) mean, mode and median
b.) mean, mode
c.) range, median
d.) mean, median

Answer 1

a.mean(536/14=38.2857143)mode(41)and median(41)

Answer 2

a.Mean, mode and median.

Explanation:

Central tendency measures are mean, mode and median.

Mean: It is defined as the average value of the given data .

Mean =
`(total \;sum\; of \;date)/(Total\;number\; in\;data)`

Mode :The number which appear most times in the given set of data.

Median:It is defined the middle value of the given data.

Median for even number of terms in data

Median =
`((n)/(2)^(th) term+((n)/(2)+1)^(th) term)/(2)`

Median for odd number of terms in data set

Median=
`(n+1)/(2)^(th) term`

Mean=
`(23+50+49+48+49+32+37+40+41+42+41+41+43)/(13)`

Mean=41.2

Mode:41 appears 3 times which is most time repeat .

Therefore, Mode=41

23,32,37,40,41,41,41,42,43,48,49,49,50

Total number of terms are odd

Median =
`(13+1)/(2)^(th) term`

Median=
`(14)/(2)=7^(th)` term=41

Median=41

Answer: a : Mean, mode and median