Find the following measures of central tendency for the given set of data. {2, 7, 6, 9, 4, 3, 8, 1, 6, 2}
a. Mean =
b. Median =
c. Mode=

Add them all up which gets you 48 then divide it by 10 cause of each number then you get your mean

Mean=4.8

Find the middle number and since it’s two add them 4+3=7 and then divide by 2 which gives you your median

Median=3.5

The two numbers repeated which gives you your mode

Mode=2

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%