Question

the following four sets of 7 numbers all have a mean of 9. complete parts (a) through (d) below. {9,9,9,9,9,9,9} , {8,8,9,9,9,10,10} , {6,6,6,9,12,12,12} , {4,4,4,9,14,14,14} make a histogram for set {6,6,6,9,12,12,12}. choose the correct answer below. a. b. c. d.

Explanation:

Step1: Analyze the data set

The data set is {6,6,6,9,12,12,12}. Let's count the frequency of each data value:

• Frequency of 6: 3 (since there are three 6s)
• Frequency of 9: 1 (one 9)
• Frequency of 12: 3 (three 12s)

Step2: Analyze the histogram options

We need a histogram where the x - axis is the data value (6, 9, 12) and the y - axis is the frequency.

• For data value 6, frequency is 3.
• For data value 9, frequency is 1.
• For data value 12, frequency is 3.

Looking at the options:

• Option A: The x - axis is frequency and y - axis is data value, which is incorrect.
• Option B: The x - axis is data value (6, 9, 12) and y - axis is frequency. The bar for 6 has height 3, bar for 9 has height 1, and bar for 12 has height 3. This matches our frequency count.
• Option C: The x - axis is frequency and y - axis is data value, incorrect.
• Option D: The frequencies do not match (the bar for 6 and 12 should have height 3, not as shown in D).

Answer:

B. The histogram with x - axis as data value (6, 9, 12) and y - axis as frequency, where the bar for 6 has height 3, bar for 9 has height 1, and bar for 12 has height 3.