Measures of Central Tendency

Seven randomly selected participants in a job training program found gainful employment after finishing it successfully. They reported their salaries as $65000, $67500, $67500, $70000, $72000, $72010, and X. The X is for the seventh participant who did not respond. Which of the following is true?

• The median was anywhere between $65000 and $72010.

• The median was $67500 since it is the most frequently occurring.

• The median was $70000.

• The median was $72000.

Answer explanation

Remember the median is the middle position. You don't have to know the last value here to know the median. The data are ordered and there are 7 values, so 3 values values will be above and below the median.

Tags

CCSS.6.SP.B.5C

The mean of the following is (blank).

2, 5, 4, 4, 3, 5, 4

Round to the nearest tenth

(a)  

Answer explanation

The mean is found by adding the values together and dividing by the number of values. You did so good on this one, it knocked me out.:)

The median of the following is (blank).

2, 5, 4, 4, 3, 5, 4

(a)  

Answer explanation

First, order the data from least to greatest. There are 7 values here, so 3 values will be above and below the median respectively.

3 Values or cats:)?

Tags

CCSS.6.SP.B.5C

The mode of the following is (blank).

2, 5, 4, 4, 3, 5, 4

(a)  

Answer explanation

The mode of 4 occurs three times. Just like the number of cats here. The mode is the most often occurring data value. The cats outnumber me, so that why I cannot get out of the recliner. The mode works similarly. It outnumbers the rest of the values.

Tags

CCSS.6.SP.B.5C

Find the value of x so that the mean is 65. x is (blank). The data are 40, 45, 48, x, 42.

(a)  

Answer explanation

This is a big value compared to the rest of the data.

Tags

CCSS.6.SP.B.5C

Which statement is supported by the data? The data below represent cell phone bills in dollars for 6 randomly selected students.

160, 320, 100, 110, 200, 220

• Half of the bills are bigger than 100

• The most common cell phone bill is 200.

• The mean cell phone bill is 200.

• The median cell phone bill is 180.

Answer explanation

You are doing so good, I had to sit down.

Tags

CCSS.6.SP.B.5B

If a group consists of 15 part-time students with an average GPA of 2.567 and 25 full-time students with an average GPA of 2.884, the average GPA of the whole group to the nearest ten-thousandth is (blank).

(a)  

Answer explanation

Way to find the answer! Some of the answers are harder to find just like me in the flowers!

What number would you divide by to find the mean of 1, 2, 3, 4, and 5?

• 2

• 5

• 4

• 15

Answer explanation

You're doing great!

Tags

CCSS.6.SP.B.5C

Which of the following is true about the data below? (Choose all that apply)

1, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 7, 7, 7, 7

• Every set of data has a mode.

• The modes here are 3,, 5, and 7

• There is no mode.

• The median is 4.

Answer explanation

You're making me smile with what you're showing that you know!

Tags

CCSS.6.SP.B.5C