Question

the line graph above shows the number of text messages that shad received each day over several days. which histogram below represents the data shown in the line graph?

Explanation:

Step1: Analyze the line graph data

First, we need to extract the number of text messages for each day from the line graph. Let's assume the days are numbered from 1 to 10 (as per the x - axis of the line graph). We can observe the number of text messages for each day:

• Day 1: Let's say the value is around 175 (approximate from the graph)
• Day 2: Around 180
• Day 3: Around 190
• Day 4: Around 200
• Day 5: Around 210
• Day 6: Around 220
• Day 7: Around 210
• Day 8: Around 200
• Day 9: Around 190
• Day 10: Around 175

Step2: Analyze the histograms

Now we will analyze each histogram:

Histogram 1 (Top - middle):

The x - axis is "Number of Days" (0 - 4) and y - axis is "Number of Text Messages" (170 - 220). The bars do not seem to match the frequency distribution of our data. For example, the bar for 210 - 220 has a large number of days, but from our line graph data, the number of days with text messages in 210 - 220 range is less.

Histogram 2 (Bottom - middle):

The x - axis is "Number of Days" (0 - 4) and y - axis is "Number of Text Messages" (170 - 220). Let's group our data into intervals. Let's create intervals: 170 - 180, 180 - 190, 190 - 200, 200 - 210, 210 - 220.

• 170 - 180: Days 1 and 10 → 2 days
• 180 - 190: Day 2 and 9 → 2 days
• 190 - 200: Day 3 and 8 → 2 days
• 200 - 210: Day 4 and 7 → 2 days
• 210 - 220: Day 5 and 6 → 2 days

Now, looking at the bottom - middle histogram (with the striped bars), we can see that the frequency (number of days) for each interval matches our grouped data. The bars for each interval seem to have a frequency that corresponds to the number of days in each text - message interval.

Histogram 3 (Top - left and Bottom - left):

The top - left and bottom - left histograms have different x - axis scales (e.g., top - left has x - axis up to 6 and bottom - left up to 5) and their bar distributions do not match the frequency distribution of our data.

So, the bottom - middle histogram (the one with the striped bars, the second histogram in the middle row, bottom one) represents the data shown in the line graph.

Answer:

The bottom - middle histogram (the one with the striped bars, the second histogram in the middle row, bottom one)