Question

The weight ( in kg) of 15 students of a class are:
38,42,35,37,45,50,32,43,43,40,36,38,43,38,47
1) find the mode and median of this data.
2) is there more than one mode?

Answer 1

After arranging the data in ascending order
32,35,36,37,38,38,38,40,42,43,43,43,45,47,50

1. mode =38,43
median=7th and 8th observation i.e.38,40.

2. yes, there are two modes.

Answer 2

Answer:

To find the mean and median of the data given in the question we need to use basic formulae of mean and mode.

Mode is the one that occurs the highest number of times in the given data.

The median of the data is the number that is in the middle of the data.

Total number of students =15

Weights of 15 students = 38, 42, 35, 37, 45, 50, 32, 43,43, 40, 36, 38, 43, 38, 47.

Arranging in ascending order, we get

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

1)  Mode is the observation that occurred the highest number of times.

Thus, 38 and 43 occur the highest number of times

Therefore, Mode = 38 and 43.

From the data, out of the 15 student weights given, the 8th student weight is the mid data.

Hence, median = 40

2)  Yes, there is more than one mode.

     Those are 38 and 43.