A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

The value of x would be 16.

Step-by-step explanation:

In a data,

Median : middle value of the data when the data is written is ascending order.

While,

Here, the given data is,

4, 5, 6, 8, 10, and x

So, median =  =  = 7.

Number of the observations = 6,

Sum of the observations = 4+ 5+6+8+10+x = 33 + x

Thus,

Average =

According to the question,

Therefore, the value of x would be 16.

add an image

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation: