Question

2) 5, 28, 16, 32,5, 16, 48, 29, 5, 35
Mean:?
Median:?
Mode:?
Range:?

Answer 1

Answer:

Mean: 21.9, Median: 22, Mode: 5

Step-by-step explanation:

Mean: add up all numbers and divide by how many there are.

5+28+16+32+5+16+48+5+35 = 219.  There are 10 numbers, so the mean is 219/10 = 21.9.

Median: the number in the middle of a sorted list (put in order)

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

There is no number in the middle (there is an even number of numbers), so you make one up by averaging the two nearest the middle.

(16 + 28) / 2 = 44 / 2 = 22

Mode: the number that occurs most often (frequently) is 5.

Answer 2

The mean is 21.9, the median is 22, the mode is 5 and the range is 43.

Important information:

• The given data values are 5, 28, 16, 32,5, 16, 48, 29, 5, 35.

Mean, Median, Mode, Range:

Mean of the data set is:

$Mean=\dfrac{5+28+16+32+5+16+48+29+5+35}{10}$

$Mean=\dfrac{219}{10}$

$Mean=21.9$

Arrange the data set in asccending order.

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

The number of observation is 10, which is an even number. So, the median is average of $\dfrac{10}{2}=5th$ term and $\dfrac{10}{2}+1=6th$.

$Median=\dfrac{16+28}{2}$

$Median=\dfrac{44}{2}$

$Median=22$

Mode is the most frequent value.

In the given data set 5 has the highest frequency 3. So, the mode of the data is 5.

Range is the data set is:

$Range=Maximum-Minimum$

$Range=48-5$

$Range=43$

Therefore, the mean is 21.9, the median is 22, the mode is 5 and the range is 43.

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