Question

PLEASEE HELP I NEED HELP PROBLEM

Melinda takes readings of the depth of water in a
pond every day for 1 week. Here are her results in
meters:
6.5, 6.8, 7.2, 6.8, 6.6, 6.3, 6.4
What are the mean, median, and mode water levels
for the week, rounded to the nearest tenth?
Answer with supporting work:

Answer 1

a) The Mean of the water levels for the week (μ) = 6.657

b) The Median of the water levels for the week = 6.6

c) Mode = 6.8

Explanation:

Step(i):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the mean of the given data

Solution:-

Mean = ∑x /n

`Mean = (6.5+6.8+7.2+6.8+6.6+6.3+6.4)/(7)`

Mean =
`(46.6)/(7)`

Mean(μ) = 6.657

The Mean of the water levels for the week (μ) = 6.657

Step(ii):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the Median of the given data

A median is the center value of a given data when arranged in an order

6.3 6.4 6.5 6.6 6.8 6.8 7.2

The Median = middle of the given data

The Median = 6.6

Step(iii):-

Given that the data per one week

6.5, 6.8 , 7.2 ,6.8 ,6.6 ,6.3 , 6.4

we have to find the Mode of the given data

Mode = Value repeated the most number of times

The value 6.8 repeated two times

∴ Mode = 6.8