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 {8,8,9,9,9,10,10}. choose the correct answer below. a. b. c. d.

Explanation:

Step1: Analyze the data set

The data set is {8,8,9,9,9,10,10}. Let's count the frequency of each data value:

• For 8: frequency is 2 (since there are two 8s)
• For 9: frequency is 3 (since there are three 9s)
• For 10: frequency is 2 (since there are two 10s)

Step2: Analyze the histograms

We need a histogram where the x - axis represents data values (8, 9, 10) and the y - axis represents frequency. Let's check the options:

• Option A: The x - axis is frequency, which is incorrect as the x - axis should be data values for a histogram of this data set.
• Option B: The x - axis is frequency, incorrect.
• Option C: The x - axis is data value, but the data values on the x - axis are 1, 2, 3, 4, 5 which do not match our data values (8, 9, 10).
• Option D: The x - axis represents data values (0 - 12, with 8, 9, 10 in the appropriate range) and the y - axis represents frequency. The bars for 8, 9, 10 should have heights 2, 3, 2 respectively. Looking at the graph, it matches the frequency distribution we calculated.

Answer:

D. (The histogram with data value on the x - axis (ranging from 0 - 12) and frequency on the y - axis, with bars for data values 8, 9, 10 having heights 2, 3, 2 respectively)