Question

find the median of the given data x 6 7 5 2 10 9 3 f 9 12 8 13 11 14 7​

Answer 1

Answer:

Median 6.5

Step-by-step explanation:

Sort the values first, from smallest to largest.  Keep track of the right frequencies for each value.

x :  2  3  5  6  7  9  10

f  :  13  7  8  9  12  14  11

The number of values is

∑f = 13 + 7 + 8 + 9 + 12 + 14 + 11 = 74

This is even, so there are 2 middle values.

74 / 2 = 37, so the 2 middle values are the 37th and 38th.

Cumulative frequencies:

13

13 + 7 = 20

20 + 8 = 28

28 + 9 = 37

So the 37th value is the last one in the 4th group, and the 38th value is the first one in the 5th group.

So the 37th value is 6 and the 38th value is 7.

The median is the mean of these two values:

( 6 + 7 ) / 2 = 6.5