Question

Last week’s and this week’s low temperatures are shown in the table below.

Answer 1

Answer:

1st, 2nd, 3rd and 5th statement are correct choices.

Step-by-step explanation:

We have been given a table of low temperatures during last week and this week. We are asked to choose the correct options from our given choices about the center and variability of data.

Low Temperatures  of this Week (f): 4, 10, 6, 9 ,6.

Low Temperatures  of the last Week (f): 13, 9, 5, 8, 5.

Let us check our given choices one by one.

1. The mean of this week's temperatures is greater than 5 degrees.

$\text{Mean of the low temperatures this week}=\frac{4+10+6+9+6}{5}$

$\text{Mean of the low temperatures this week}=\frac{35}{5}$

$\text{Mean of the low temperatures this week}=7$  

Since the mean of this week's temperatures is 7 and 7 is greater than 5, therefore, 1st statement is true.

2. The mean of last week's temperatures is greater than 5 degrees.

$\text{Mean of the low temperatures last week}=\frac{13+9+5+8+5}{5}$

$\text{Mean of the low temperatures last week}=\frac{40}{5}$

$\text{Mean of the low temperatures last week}=8$

Since the mean of last week’s temperatures is 8 and 8 is greater than 5, therefore, 2nd statement is true as well.

3. The range of this week's temperatures is greater than 5 degrees.

We know that range is the difference between greatest value and smallest value of data set.

$\text{Range}=\text{ Greatest value of data set-Lowest value of data set}$

$\text{Range of the low temperature this week}=10-4$

$\text{Range of the low temperature this week}=6$

We can see that range of low temperature this week is 6 and 6 is greater than 5, therefore, 3rd statement is true.

4. The mode of last week's temperatures is greater than 5 degrees.

Mode is the most frequently occurring number found in a set of numbers. We can see that 5 is the mode of last week's temperature and it is not greater than 5, therefore, 4th statement is not true.

5. The range of last week's temperatures is greater than 5 degrees.

$\text{Range of the low temperature last week}=13-5$

$\text{Range of the low temperature last week}=8$

We can see that range of last week's temperatures is 8 and 8 is greater than 5, therefore, 5th statement is a correct choice.

Answer 2

Answer:

it is the first, second and third.

Step-by-step explanation:

trust me I got it right on mine