Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. listed below are foot lengths in inches of randomly selected women in a study of a country's military in 1988. are the statistics representative of the current population of all women in that country's military?
10.2 8.7 9.9 8.7 9.5 10.4 8.6 9.0 9.1 99 9.9

mean = 9.5

median = 9.5

mode = 9.9

mid-range = 9.5

Step-by-step explanation:

Using the population as 10.2 8.7 9.9 8.7 9.5 10.4 8.6 9.0 9.1 99 9.9

(a) mean is the average of all numbers

hence

mean = (10.2 + 8.7 + 9.9 + 8.7 + 9.5 + 10.4 + 8.6 + 9.0 + 9.1 + 9.9 + 9.9)/ 11

= 103.9/11

= 9.5

(b) Median is the middle value for rearranged population data

For the median, there is need to rearrange population data

this generates 8.6, 8.7, 8.7, 9.0, 9.1, 9.5, 9.9, 9.9, 9.9, 10.2, 10.4

since n = 11, the median is (n+1)/2 th value = (11+1)/2 = 6th value

median = 9.5

(c) mode is the highest occurring value. from the rearranged data

8.6, 8.7, 8.7, 9.0, 9.1, 9.5, 9.9, 9.9, 9.9, 10.2, 10.4,

9.9 occurs three times hence the mode

(d) mid-range is mathematically the average of the lowest and highest values

hence mid-range = (8.6 + 10.4) / 2

= 19/2

= 9.5

(e) The statistics is not totally representative of the current population of all women in the country's military even though the mean, median and mid range all gave similar values of 9.5; this implies that is 9.5 inches is used for the foot size of the women in the military, there will be substantial consideration.

The mode which has the frequency for highest considered number of women military shows a value of 9.9 which wont be able to use the size of 9.5 inches generated from the other estimates.

The problem of mean, mode, median and mid-range is that it is at best only estimates; it tries to refer back to an acceptable middle value without considering the span of the population hence it is not a good statistic to represent the population.

This is exemplified in the given population where only one woman has a foot size of 9.5 inches. Others wont be able to use the estimated statistics

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~