Question

The number of visitors that attended a local science fair are as shown below.
If the mean number of visitors are 38, how many visitors did the fair have on Sunday?
Subsquently find the median of the above data set.

• A. Number of visitors on Sunday = 43
  Median = 34
• B. Number of visitors on Sunday = 52
  Median = 30
• C. Number of visitors on Sunday = 43
  Median = 30
• D. Number of visitors on Sunday = 52
  Median = 34

Answer 1

The correct option is A Number of visitors on Sunday = 43

Median = 34
Mean = $\frac{Sumofalldatapoints}{Numberofdatapoints}$

We know that mean = 38.

Substituting the value of mean, we get :
38 = $\frac{28+30+34+30+49+52+x}{7}$

$38\times 7$ = $\frac{223+x}{7}$ × 7
266 = 223 + x
266 - 223 = 223 + x -223
43 = x

Thus, there were 43 visitors on Sunday.

Median is the middle value of a numerically ordered data set.

Arranging the number of visitors in ascending order, we get :
28, 30, 30, 34, 43, 49, 52

Thus, the median is 34.