Question

Find the mean median and mode of the set of data 10,11,4,7,12,11,16

Answer 1

Answer & step-by-step explanation:

Let us find the median of the data set

First, you should arrange the data in ascending to descending to find the median.

4, 7, 10, 11, 11, 12, 16

Now let us use the given formula to find the median.

`\sf (n+1)/(2) =--^t^h data`

Here,

n → the number of elements

Let us find it now.

`\sf Median= (n+1)/(2)\\\\\sf Median=(7+1)/(2) =4^t^h data\\\\Median=11`

Let us find the mode of the data set.

Mode is the most frequent number in the data set.

∴ mode → 11

Let us find the mean of the data set

Mean is the average of a data set.

To find that, you have to add all the data together and divide it by number of elements.

Mean = Σx ÷ n

Mean = ( 10 + 11 + 4 + 7 + 12 + 11 + 16 ) ÷ 7

Mean = 71 ÷ 7

Mean = 10.14

Answer 2

• Mean = 10.14,
• Mode = 11,
• Median = 11.

-------------------------

Given data:

• 10, 11, 4, 7, 12, 11, 16

Put the data in the ascending order:

• 4, 7, 10, 11, 11, 12, 16

The mode, the most repeated term, is 11.

The median is the middle term, also 11.

The mean is the average:

• mean = (4 + 7 + 10 + 11 + 11 + 12 + 16)/7 = 10.14 (rounded)