Question

3. You have been given a list of ages in years, and you need to show them in a graph. The ages are:
5, 12, 23, 22, 28, 17, 11, 21, 25, 23, 7, 16, 13, 39, 35, 42, 24, 31, 35, 36, 35, 34, 37, 44, 51, 53, 46, 45, and 57.

a. Constract a histogram for the above data

b. find thed mean.

c. find the median.

D. find the mode

Answer 1

Solution:

The given data is arranged in ascending order and is as follows:

Ages in years
5
7
11
12
13
16
17
21
22
23
23
24
25
28
31
34
35
35
35
36
37
39
42
44
45
46
51
53
57
Sum=867

a)The histogram is drawn based on the original given data without sorting the data(ascending order).

The histogram for the given data is as follows:

b)Mean=Sum of all the observations/Number of observations=867/29=29.9

c)Median is the middle number in the data set when arranged from least to greatest.

So, median from the data set is 31.

d)Mode is the number that occurred most often.

35 is the most often repeated number in the data set. So mode=35.